Data & Statistics

Problem 2901

Boulder runs straight on a field: 0 yards at 0s, 10 at 1s, 20 at 2s, 30 at 3s, 40 at 4s. Is he moving at constant speed or accelerating?

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Problem 2902

Find the percentage of the world population living in India for 2030 and 2050, rounding to one decimal place. Use 9,117.909,117.90 for world in 2050 and 1,456.501,456.50 for India in 2030.

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Problem 2903

Determine if the cost of frozen yogurt is proportional to the weight given weights (12.5, 10, 5, 8) and costs (5, 4, 2, 3.20).

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Problem 2904

Julie swims 50 yards in 250 seconds. What is her speed in yards per second?

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Problem 2905

The acceptable level for insect filth in a certain food item is 4 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 60 ten-gram portions of the food item is obtained and results in a sample mean of xˉ=4.8\bar{x}=4.8 insect fragments per ten-gram portion. Complete parts (a) through (c) below. (a) Why is the sampling distribution of xx approximately normal? A. The sampling distribution of xˉ\bar{x} is approximately normal because the population is normally distributed. B. The sampling distribution of xˉ\bar{x} is approximately normal because the sample size is large enough. C. The sampling distribution of xˉ\bar{x} is assumed to be i.pproximately normal, D. The sampling distribution of xˉ\bar{x} is approximately normal because the population is normally distributed and the sample size is large enough. (b) What is the mean and standard deviation of the sampling distribution of xˉ\bar{x} assuming μ=4\mu=4 and σ=4\sigma=\sqrt{4} ? μx=\mu_{x}= \square (Round to three decimal places as needed.) Get more help - Clear all Check answer

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Problem 2906

College students are randomly selected and arranged in groups of three. The random variable xx is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. \begin{tabular}{c|c} \hline x\mathbf{x} & P(x)\mathbf{P ( x )} \\ \hline 0 & 0.102 \\ \hline 1 & 0.356 \\ \hline 2 & 0.396 \\ \hline 3 & 0.146 \\ \hline \end{tabular}
Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the numerical values of the random variable xx are not associated with probabilities. C. No, the random variable xx is categorical instead of numerical. D. No, the sum of all the probabilities is not equal to 1 . E. No, not every probability is between 0 and 1 inclusive.

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Problem 2907

In a survey, cell phone users were asked which ear they use to hear their cell phone, and the table is based on their responses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. \begin{tabular}{|l|l} \hline & P(x)P(x) \\ \hline Left & 0.6362 \\ \hline Right & 0.304 \\ \hline \begin{tabular}{l} No \\ preference \end{tabular} & 0.0598 \\ \hline \end{tabular}
Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. D. No, not every probability is between 0 and 1 inclusive. E. No, the numerical values of the random variable xx are not associated with probabilities.

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Problem 2908

Determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5%5 \% guideline for cumbersome calculations). If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied.
Surveying 100 homemakers and recording how satisfied they are with their toaster of scale from 1 to 5
Choose the correct answer below. A. It is binomial or can be treated as binomial. B. It is not binomial because there are more than two possible outcomes. C. It is not binomial because there are more than two possible outcomes and the trials are not independent. D. It is not binomial because the probability of success does not remain the same in all trials.

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Problem 2909

Assume that when human resource managers are randomly selected, 58%58 \% say job applicants should follow up within two weeks. If 8 human resource managers are randomly selected, find the probability that exactly 2 of them say job applicants should follow up within two weeks.
The probability is \square (Round to four decimal places as needed.)

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Problem 2910

Select the tables that show a proportional relatlonship between xx and yy. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 2 & 3 \\ \hline 4 & 6 \\ \hline 12 & 18 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 6 & 3 \\ \hline 12 & 6 \\ \hline 14 & 7 \\ \hline \end{tabular}

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Problem 2911

3. Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation. \begin{tabular}{|r|r|} \hline time (sec)(\mathbf{s e c}) & velocity (ft/sec)(\mathrm{ft} / \mathrm{sec}) \\ \hline 0 & 18 \\ \hline 1 & 32 \\ \hline 2 & 33 \\ \hline 3 & 20 \\ \hline 4 & 5 \\ \hline 5 & 2 \\ \hline 6 & 13 \\ \hline \end{tabular}

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Problem 2912

H0:μ=0.8H1:μ0.8\begin{array}{r} H_{0}: \mu=0.8 \\ H_{1}: \mu \neq 0.8 \end{array}
The null hypothesis in words would be: The proportion of people in a sample that prefers Trydint gum is 0.8 . The average of people that prefer Trydint gum is not 0.8. The proportion of all people that prefer Trydint gum is greater than 0.8 . The proportion of people in a sample that prefer Trydint gum is not 0.8 The proportion of all people that prefer Trydint gum is less than 0.8 . The average of people that prefer Trydint gum is 0.8 . The proportion of all people that prefer Trydint gum is 0.8
Based on a sample of 230 people, 167 said they prefer "Trydint" gum to "Eklypse". The point estimate is: \square (to 3 decimals)
The 90%90 \% confidence interval is: \square decimals) to \square 385 Mostly cloudy

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Problem 2913

15.
DETAILS MY NOTES AUFMODMATH1 1.3C.021.
The daily low temperatures, in degrees Fahrenheit, for 9 consecutive summer days in a city, were 62,63,55,62,53,69,57,6762,63,55,62,53,69,57,67, and 61 . What was the average low temperature for those 9 days? \square of
Siow My Work

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Problem 2914

If you are performing a right-tailed hypothesis test for a standard deviation, and you obtain a χ2\chi^{2} test statistic of 12.464 for a sample of size 6: (a) What conclusion would you reach when using a test with a significance level of 0.05 ?
Select an answer (b) What conclusion would be appropriate at a significance level of 0.01 ? Select an answer
Question Help: β\boldsymbol{\beta}^{-}Written Example Message instructor Check Answer

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Problem 2915

Match each Test Situation with the correct Critical Value. For a two-sided test, find only the positive value. Test Situation Critical Value - \vee One sample, n=45,Ha:p<p0\mathrm{n}=45, H_{a}: p<p_{0}, and α=0.01\alpha=0.01 a. 2.434 -\vee One sample, n=61,Ha:p>p0\mathrm{n}=61, H_{a}: p>p_{0}, and α=0.05\alpha=0.05 b. 3.291 -\vee One sample, σ\sigma is known, n=175,Ha:μμ0\mathrm{n}=175, H_{a}: \mu \neq \mu_{0}, and α=0.05\alpha=0.05 c. 1.645 -\vee One sample, σ\sigma is unknown, n=57,Ha:μ<μ0\mathrm{n}=57, H_{a}: \mu<\mu_{0}, and α=0.05\alpha=0.05 d. 1.960 -\vee One sample, σ\sigma is unknown, n=37,Ha:μ>μ0\mathrm{n}=37, H_{a}: \mu>\mu_{0}, and α=0.01\alpha=0.01 e. -1.673 -\vee One sample, n=35,Ha:pp0\mathrm{n}=35, H_{a}: p \neq p_{0}, and α=0.001\alpha=0.001 f. 2.013 -\checkmark One sample, σ\sigma is unknown, n=47,Ha:μμ0\mathrm{n}=47, H_{a}: \mu \neq \mu_{0}, and α=0.05\alpha=0.05 g. -2.326
Question Help: \square Message instructor Check Answer

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Problem 2916

Question 15
You are conducting a study to see if the mean doctor's salary (in thousands of dollars) is significantly more than 87. A random sample of 26 doctors' salary in thousands of dollars is shown below. Test the claim using a 1%1 \% level of significance. Give answer to at least 4 decimal places. \begin{tabular}{|c|} \hline Salary \\ \hline 93.48 \\ \hline 80.66 \\ \hline 87.95 \\ \hline 93.93 \\ \hline 78.52 \\ \hline 81.63 \\ \hline 94.37 \\ \hline 94.89 \\ \hline 96.94 \\ \hline 95.55 \\ \hline 84.94 \\ \hline 83.74 \\ \hline 81.22 \\ \hline 93.16 \\ \hline 97.49 \\ \hline 88.39 \\ \hline 98.04 \\ \hline 87.34 \\ \hline 93.37 \\ \hline 84.99 \\ \hline 92.41 \\ \hline 91.7 \\ \hline 88.8 \\ \hline 87.61 \\ \hline 102.15 \\ \hline 93.73 \\ \hline \\ \hline \end{tabular} a. What are the correct hypotheses? H0\mathrm{H}_{0} : \square ? 2 \square thousand dollars

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Problem 2917

For the data below, determine the chi-squared value. Enter your value. Observed: 48 Expected: 50

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Problem 2918

irement and other FV Question 6, 9.3.3 HW Score: 62.5%,562.5 \%, 5 of 8 points Part 2 of 4 Points: 0 of 1
Consider the two savings plans below. Compare the balances in each plan after 10 years. Which person deposited more money in the plan? Which of the two investment strategies is better? Yolanda deposits $100\$ 100 per month in an account with an APR of 6%6 \%, while Zach deposits $1200\$ 1200 at the end of each year in an account with an APR of 6%6 \%.
The balance in Yolanda's saving plan after 10 years was $16,387.93\$ 16,387.93. (Round the final answer to the nearest cent as needed. Round all intermediate values to seven decimal places as needed.) The balance in Zach's saving plan after 10 years was $\$ \square (Round the final answer to the nearest cent as needed. Round all intermediate values to seven decimal places as needed.)

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Problem 2919

A job-placing agency claims that 73%73 \% of their clients find full-time jobs within a month of using their services. In a random sample of 170 people, it was found that 79%79 \% were able to find full-time employment within a month of joining the agency. Perform a test to determine whether more than 73%73 \% of the clientsfind full-time employment. Use a significance level of 2%2 \%. a. Check all of the requirements that are satisfied. random the I\boldsymbol{I} distribution is normal since n30n \geq 30 the X\boldsymbol{X} distribution is normal since the X\boldsymbol{X} distribution is normal the p^\hat{p} distribution is normal since np10n p \geq 10 and nq10n q \geq 10 b. Identify the null and alternative hypotheses. Enter the parameter as a decimal. H0H_{0} : \square ?? \qquad \square H1H_{1} : \qquad ?? \vee \square c. What type of hypothesis test should you conduct (left, right, or two-tailed)? left-tailed right-tailed two-tailed d. Identify the appropriate significance level. Make sure to enter your answer as a decimal. \square e. Which calculator function should you use? \square f. Find the test statistic. Write the result below, and be sure to round your final answer to two decimal places. \square
8. Find the critical value. Round your answer to 2 decimal places. \square h. Should you reject or not reject the null hypothesis? reject the null hypothesis since pp-value α\leq \alpha do not reject the null hypothesis since pp-value >α>\alpha reject the null hypothesis since the test statistic is inside the critical region do not reject the null hypothesis since the test statistic is outside the critical region i. Select the statement below that best represents the interpretation. There is sufficient evidence to support the claim that more than 73%73 \% of the clients find fulltime employment within a month of joining the agency. There is not sufficient evidence to support the claim that more than 73%73 \% of the clients find full-time employment within a month of joining the agency. The sample data support the claim that more than 73\% of the clients find full-time employment within a month of joining the agency. We accept that more than 73%73 \% of the population find full-time employment within a month of joining the agency.

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Problem 2920

Time left 0
This graph shows the marginal social cost (MSC), marginal private benefit (MPB), and the marginal social benefit) associated with the market for snizzles.
What type of market failure does this graph demonstrate? Positive Externality \square How much is produced in the market without government intervention? \square How much is produced in the market with government intervention, assuming the market failure is eliminated? 12 \square Calculate the dollar value of the externality per unit. 4 \square Calculate the deadweight loss associated with this market failure. 8 \square

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Problem 2921

The accompanying data represent the approximate population, in millions, of the 20 most populous cities in the world. \begin{tabular}{|c|c|c|c|c|} \hline 13.3 & 12.1 & 10.3 & 8.3 & 7.2 \\ \hline 13.1 & 10.8 & 10.2 & 8.2 & 7.1 \\ \hline 12.9 & 10.7 & 8.8 & 8.1 & 6.9 \\ \hline 12.8 & 10.5 & 8.5 & 7.7 & 6.6 \\ \hline \end{tabular}
Use these data to construct a frequency distribution with a first class of 6.57.56.5-7.5. Fill in the missing classes an frequency for each class below. \begin{tabular}{|c|c|} \begin{tabular}{c} Population \\ (millions of people) \end{tabular} & Number of Cities \\ \hline 6.57.56.5-7.5 & \square \\ \hline\square-\square & \square \\ \hline 910.89-\square-10.8 & \square \\ \hline 10.911.910.9-11.9 & \square \\ \hline\square-\square & \square \\ \hline \end{tabular}

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Problem 2922

Louisa Pectol 11/25/24 9:20 PM rule and trees Question 7, 14.CE. 24 HW Score: 60%,660 \%, 6 of 10 points Points: 0 of 1
Twenty percent of cars that are inspected have faulty pollution control systems. The cost of repairing a pollution control system exceeds $150\$ 150 about 10%10 \% of the time. When a takes her car in for inspection, what is the probability that she will end up paying more than $150\$ 150 to repair the pollution control system?

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Problem 2923

Louisa Pectol 11/25/24 9:29 PM Question 10, "5.8.33 HW Score: 90%,990 \%, 9 of 10 points rule and trees Part 1 of 2 Points: 0 of 1 Save
In a given population approximately 7%7 \% of all males are color-blind, while only about 0.67%0.67 \% of women are color-blind. Six years ago 48.6%48.6 \% of the population were male and 51.4%51.4 \% were female. (a) What is the probability that a randomly selected person is color-blind? (b) What is the probability that a randomly selected person who is color-blind is female?

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Problem 2924

The properties of several unknown solids were measured. \begin{tabular}{|c|c|c|} \hline Solid & Melting point & Other properties \\ \hline A & >1000C>1000^{\circ} \mathrm{C} & does not conduct electricity \\ \hline B & 850C850^{\circ} \mathrm{C} & conducts electricity in the liquid state, but not in the solid state \\ \hline C & 750C750^{\circ} \mathrm{C} & conducts electricity in the solid state \\ \hline D & 150C150^{\circ} \mathrm{C} & does not conduct electricity \\ \hline \end{tabular}
Classify the solids as ionic, molecular, metallic, or covalent. Note that covalent compounds are also known as covalent network solids or macromolecular solids.
Covalent \square
Answer Bank
D A C B

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Problem 2925

4. [-/5 Points]
DETAILS MY NOTES
The following table shows the frequency of outcomes when two distinguishable coins were tossed 6,800 times and the uppermost faces were observed. HINT [See Example 2.] \begin{tabular}{|r|c|c|c|c|} \hline Outcome & HH & HT & TH & TT \\ \hline Frequency & 1,800 & 1,650 & 1,900 & 1,450 \\ \hline \end{tabular}
What is the relative frequency that the first coin lands with heads up? (Round your answer to four decimal places.) \square

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Problem 2926

ABC Company showed the following information relating to employees' salaries for the month of October 2021. \begin{tabular}{|l|r|} \hline Gross Wages & $4,580.00\$ 4,580.00 \\ \hline Income Taxes & $916.00\$ 916.00 \\ \hline Canada Pension Plan Contributions & $234.00\$ 234.00 \\ \hline Employment Insurance Contributions & $72.00\$ 72.00 \\ \hline \end{tabular}
Note: The company matches 100\% of employees' CPP and 140\% of employees' EI.
Required a) Calculate the company's total expense.
Do not enter dollar signs or commas in the input boxes. Round all answers to 2 decimal places. \begin{tabular}{|l|l|} \hline Gross Wages & $4580.00\$ 4580.00 \\ \hline Canada Pension Plan - company's share & $234.00\$ 234.00 \\ \hline Employment Insurance - company's share & $100.80\$ 100.80 \\ \hline Total Expense & $4914.80\$ 4914.80 \\ \hline \end{tabular} b) Calculate the employee's net pay.
Use the negative sign for values that must be subtracted. \begin{tabular}{|l|l|} \hline Gross Pay & \\ \hline Income Taxes & \\ \hline Canada Pension Plan & \\ \hline Employment Insurance $\$ \\ \hline Net_Pay \\ \hline \end{tabular}

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Problem 2927

The following table shows the results of a survey of 100 authors by a publishing company. \begin{tabular}{|r|c|c|c|} \hline & New Authors & Established Authors & Total \\ \hline Successful & 4 & 26 & 30 \\ \hline Unsuccessful & 16 & 54 & 70 \\ \hline Total & 20 & 80 & 100 \\ \hline \end{tabular}
Compute the relative frequency of the given event if an author as specified is chosen at random. A successful author is established. .26.26

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Problem 2928

Ethylene glycol (C2H6O2)\left(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}_{2}\right) is a molecular compound that is used in many commercial anti-freezes. A water solution of ethylene glycol is used in vehicle radiators to lower its freezing point and thus prevent the water in the radiator from freezing. Calculate the freezing point of a solution of 552 g of ethylene glycol in 892 g of water. Kf=1.86C/m\mathrm{K}_{\mathrm{f}}=1.86^{\circ} \mathrm{C} / \mathrm{m}
Use the following mass numbers: C- 12 H - 1 O-16 Write the final answer in 2 decimal places.

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Problem 2929

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Vitamin C for Sepsis. Sepsis occurs when a person's body has an overwhelmingly dangerous response to an infection. It can affect people of all ages and is life-threatening. Because vitamin C is believed to reduce inflammation, a randomized experiment 1{ }^{1} was designed to see if intravenous administration of high-dose vitamin C would improve outcomes in patients with sepsis. Half the patients received an infusion of vitamin C while the other half received a placebo infusion. 1{ }^{1} Fowler A, et al., "Effect of Vitamin C Infusion on Organ Failure and Biomarkers of Inflammation and Vascular Injury in Patients with Sepsis and Severe Acute Respiratory Failure," JAMA, 322(13), October 1, 2019.
Part 1
Your answer is correct. (a) Over a follow-up period of 28 days, the mean number of days on a ventilator was not significantly different between the two groups, while the mean number of days out of the Intensive Care Unit was significantly different. The pp-values for these two tests were 0.03 and 0.15 . Which pp-value goes with which test?
Ventilator test: 0.15 \square ICU test: 0.03 \square eTextbook and Media \square Attempts: 1 of 5 used
Part 2 (b) Part (a) describes one test that was significant and one that wasn't in this study. In fact, many outcomes were measured and forty-six different tests were conducted. Forty-three of the 46 tests did not show a significant difference between the vitamin C group and the placebo group, while 3 did show significance at the 5%5 \% level. If vitamin Chas no effect, how many of the 46 tests do we expect to show significance just by random chance? (Do not round off your answer.) i

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Problem 2930

H2HIC2H5OH\mathrm{H}_{2} \quad \mathrm{HI} \quad \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} \begin{tabular}{|l|l|l|} \hline \text{Highest boiling point} & & \text{Lowest boiling point} \\ \hline \end{tabular}
The correct ranking cannot be determined.

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Problem 2931

A questionnaire was given to students. The first question asked was "How stressed have you been in the last week on a scale of 0 to 10 with 0 being not stressed at all and 10 being as stressed as possible?" The responses are shown to the right. a. Which stress rating describes the least number of students? \square out of 10 \begin{tabular}{|c|c|} \hline Stress Rating & Frequency \\ \hline 0 & 5 \\ \hline 1 & 4 \\ \hline 2 & 1 \\ \hline 3 & 18 \\ \hline 4 & 14 \\ \hline 5 & 13 \\ \hline 6 & 12 \\ \hline 7 & 35 \\ \hline 8 & 24 \\ \hline 9 & 16 \\ \hline 10 & 16 \\ \hline \end{tabular}

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Problem 2932

The length (in words) of seven articles from a particular newspaper are listed below. Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure doe not represent the center of the data, explain why.
818 1278 1153 1126 1369 1230 1274 E. There is no median word count.
Find the mode of the word counts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode(s) of the word counts is (are) \square . (Round to one decimal place as needed. Use a comma to separate answers as needed.) B. There is no mode.
Does (Do) the mode(s) represent the center of the data? A. The mode(s) represent(s) the center. B. The mode(s) does (do) not represent the center because it (one) is the largest data value. C. The mode(s) does (do) not represent the center because it (one) is the smallest data value. D. The mode(s) does (do) not represent the center because it (they) is (are) not a data value.

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Problem 2933

There is a spinner with 8 equal areas, numbered 1 through 8 . If the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 3 ?

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Problem 2934

Question 5 of 6 - /1 1 zz 3
A poll sampled 63 people, asking them their favorite skittle flavor by color (green, orange, purple, red, or yellow). A separate poll sampled 88 people, again asking them their favorite skittle flavor, but rather than by color they asked by the actual flavor (lime, orange, grape, strawberry, and lemon, respectively). The table below shows the results from both polls. Does the way people choose their favorite Skittles type, by color or flavor, appear to be related to which type is chosen? \begin{tabular}{lccccc} \hline & \begin{tabular}{c} Green \\ (Lime) \end{tabular} & \begin{tabular}{c} Purple \\ Orange \end{tabular} & \begin{tabular}{c} Red \\ (Grape) \end{tabular} & \begin{tabular}{c} Yellow \\ (Strawberry) \end{tabular} & \begin{tabular}{l} Lemon) \end{tabular} \\ \hline Color & 16 & 8 & 15 & 13 & 11 \\ Flavor & 13 & 16 & 20 & 31 & 8 \\ \hline \end{tabular}
Table 1 Skittles popularity (a) Give a table with the expected counts for each of the 10 cells.
Round your answers to one decimal place. \begin{tabular}{|c|c|c|c|c|c|} \hline & Green (Lime) & Orange & \begin{tabular}{l} Purple \\ (Grape) \end{tabular} & Red (Strawberry) & Yellow (Lemon) \\ \hline Color & i & i & i & i & i \\ \hline Flavor & i & i & i & i & i \\ \hline \end{tabular} (b) Are the expected counts large enough for a chi-square test? \square (c) How many degrees of freedom do we have for this test?
Degrees of freedom == \square i (d) Calculate the chi-square test statistic.
Round your answer to two decimal places. chi-square statistic = \square (e) Determine the pp-value.
Round your answer to three decimal places. p-value == \square

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Problem 2935

\textbf{Hendry's Boutique is a retail clothing store for women. The store operates out of a rented building in Storm Lake, Iowa. Shown below is the store's adjusted year-end trial balance dated December 31, 2011.}
\begin{table}[h!] \centering \begin{tabular}{|l|r|r|} \hline \multicolumn{3}{|l|}{\textbf{HENDRY'S BOUTIQUE ADJUSTED TRIAL BALANCE DECEMBER 31, 2011}} \\ \hline \textbf{Account} & \textbf{Debit} & \textbf{Credit} \\ \hline Cash & \$15,200 & \\ \hline Accounts receivable & 2,600 & \\ \hline Merchandise inventory & 17,500 & \\ \hline Prepaid rent & 1,800 & \\ \hline Office supplies & 900 & \\ \hline Office equipment & 41,000 & \\ \hline Accumulated depreciation: office equipment & & \$12,000 \\ \hline Accounts payable & & 12,750 \\ \hline Sales taxes payable & & 3,200 \\ \hline Capital stock & & 18,000 \\ \hline Retained earnings & & 21,050 \\ \hline Sales & & 226,000 \\ \hline Sales returns and allowances & 2,500 & \\ \hline Cost of goods sold & 100,575 & \\ \hline Purchase discounts lost & 250 & \\ \hline Utilities expense & 4,120 & \\ \hline Office supply expense & 520 & \\ \hline Depreciation expense: office equipment & 2,750 & \\ \hline Rent expense & 6,100 & \\ \hline Insurance expense & 900 & \\ \hline Salaries expense & 88,095 & \\ \hline Income taxes expense & 8,190 & \\ \hline \textbf{Total} & \$293,000 & \$293,000 \\ \hline \end{tabular} \end{table}
\textbf{Instructions:} \begin{enumerate} \item[(a)] Prepare an income statement for Hendry's Boutique dated December 31, 2011. \item[(b)] Compute the store's gross profit margin as a percentage of net sales. \end{enumerate}

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Problem 2936

The following information relates to Ponte Manufacturing Company's workers' compensation insurance premiums for 20X1. On January 15, 20X1, the company estimated its premium for workers' compensation insurance for the year on the basis of that data. \begin{tabular}{|ccc} & \begin{tabular}{c} Amount of \\ Estimated \\ Wages \end{tabular} & \\ \hline Work Classification & Insurance Rates \\ \hline Office work & $45,000\$ 45,000 & $0.30/$100\$ 0.30 / \$ 100 \\ Shop work & 289,000 & $6.00/$100\$ 6.00 / \$ 100 \end{tabular}
Required:
1. Compute the estimated premiums.
2. Record in general journal form payment of the estimated premium on January 15, 20X1.
3. On January 4, 20X2, an audit of the firm's payroll records showed that it had actually paid wages of $50,960\$ 50,960 to its office employees and wages of $296,320\$ 296,320 to its shop employees. Compute the actual premium for the year and the balance due the insurance company or the credit due the firm.
4. Prepare the general journal entry on December 31, 20X1, to adjust the Workers' Compensation Insurance Expense account.

Analyze: If all wages were attributable to shop employees, what premium estimate would have been calculated and recorded on January 15 , 20X1?
Complete this question by entering your answers in the tabs below.
Required 1 Required 2 Required 3 Required 4 Analyze Prepare the general journal entry on December 31, 20X1, to adjust the Workers' Compensation Insurance Expense account. Note: Round your answers to 2 decimal places. View transaction list
Journal entry worksheet

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Problem 2937

A stats instructor claims that their proportion of grades A's, B's, C's, and D's (this particular instructor doesn't give Fs) is as follows: Ho:pA=0.3;pB=0.2;pC=0.2;pD=0.3H_{o}: p_{A}=0.3 ; p_{B}=0.2 ; p_{C}=0.2 ; p_{D}=0.3
Use a 0.005 significance level to test the instructor's claim. Complete the table. Report all answers accurate to three decimal places. \begin{tabular}{|c|l|ll||} \hline Category & \begin{tabular}{c} Observed \\ Frequency \end{tabular} & \multicolumn{1}{|c|}{\begin{tabular}{c} Expected \\ Frequency \end{tabular}} \\ \hline \hline A & 39 & 41.7 & \checkmark \\ \hline B & 32 & σ6\sigma^{6} \\ \hline \hline C & 38 & 27.8 & \checkmark \\ \hline \end{tabular}
What is the chi-square test-statistic for this data? χ2=7.732x\chi^{2}=7.732 \quad x
What is the Critical Value? C. V . == 12.838 \square

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Problem 2938

7. Describe two examples of real-life data that could be periodic. For each, explain what you would expect the period to be, and a priactical method you could use to measure data and create a model. [6 marks]

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Problem 2939

A questionnaire was given to students in an introductory statistics class during the first week of the course. One question asked, "How stressed have you been in the last 2122 \frac{1}{2} weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being as stressed as possible?" The students' responses are shown in the frequency distribution below. How many students were involved in the study?
Click the icon to view the frequency distribution. Frequency Distribution \begin{tabular}{|c|c|} \hline Stress Rating & Frequency \\ \hline 0 & 5 \\ \hline 1 & 3 \\ \hline 2 & 4 \\ \hline 3 & 15 \\ \hline 4 & 12 \\ \hline 5 & 17 \\ \hline 6 & 11 \\ \hline 7 & 21 \\ \hline 8 & 24 \\ \hline 9 & 14 \\ \hline 10 & 17 \\ \hline \end{tabular}

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Problem 2940

Ken is a self-employed architect in a small firm with four employees: himself, his office assistant, and two drafters, all of whom have worked for Ken full-time for the last four years. The office assistant earns $36,500\$ 36,500 per year, and each drafter earns $53,000\$ 53,000. Ken's net earnings from self-employment (after deducting all expenses and one-half of self-employment taxes) are $393,000\$ 393,000. Ken is considering whether to establish a SIMPLE plan and has a few questions.
Required: a. Is he eligible to establish a SIMPLE plan? b. Is he required to cover his employees under the plan? c. If his employees must be covered, what is the maximum amount that can be contributed on their behalf? d. If the employees are not covered, what is the maximum amount Ken can contribute for himself? e. If Ken is required to contribute for his employees and chooses to contribute the maximum amount, what is the maximum amount Ken can contribute for himself? (Hint: Calculate the employee amounts first.) Ignore any changes in Ken's self-employment tax.
Complete the question by entering your answers in the tabs below.
Req AA and BB Req CC Req DD and EE a. Is he eligible to establish a SIMPLE plan? b. Is he required to cover his employees under the plan? a. is he eligible to establish a SIMPLE plan?
Yes b. is he required to cover his employees under the plan?
No Req C

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Problem 2941

In one common system for finding a grade-point average, or GPA, A=4,B=3,C=2,D=1,F=0.A=4, B=3, C=2, D=1, F=0 .
The GPA is calculated by multiplying the number of credit hours for a course and the number assigned to each grade, and then adding these products. Then divide this sum by the total number of credit hours. Because each course grade is weighted \begin{tabular}{|c|c|} \hline Grades #\# of credit hours \\ B & 2 \\ B & 4 \\ B & 4 \\ C & 3 \\ \hline \end{tabular} according to the number of credits of the course, GPA is called a weighted mean. Calculate the GPA for this transcript:

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Problem 2942

Question 7
Score on last try: 0.3 of 1 pts. See Details for more. Next question You can retry this question below
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Report all answers correct to three decimal places. \begin{tabular}{|c|c|c|c|} \hline Category & Observed Frequency & \begin{tabular}{l} Expected \\ Frequency \end{tabular} & (OE)2E\frac{(O-E)^{2}}{E} \\ \hline A & 18 & & \\ \hline B & 24 & & \\ \hline C & 15 & & \\ \hline D & 20 & & \\ \hline E & 12 & & \\ \hline \end{tabular}

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Problem 2943

You are conducting a multinomial hypothesis test (α=0.05)(\alpha=0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. \begin{tabular}{|c|c|c|c|} \hline Category & \begin{tabular}{l} Observed \\ Frequency \end{tabular} & \begin{tabular}{l} Expected \\ Frequency \end{tabular} & (OE)2E\frac{(O-E)^{2}}{E} \\ \hline A & 6 & & \\ \hline B & 17 & & \\ \hline C & 6 & & \\ \hline D & 16 & & \\ \hline E & 18 & & \\ \hline \end{tabular}
Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations.
What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) χ2=\chi^{2}= \square What are the degrees of freedom for this test?

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Problem 2944

Savvas Realize Preview attachment...
You are conducting a multinomial hypothesis test (α=0.05(\alpha=0.05 ) for the claim that all 5 categories are equally likely to be selected. Complete the table. \begin{tabular}{|c|c|c|c|c|c|c|} \hline Category & Observed Frequency & \multicolumn{2}{|r|}{\begin{tabular}{l} Expected \\ Frequency \end{tabular}} & \multicolumn{3}{|l|}{(OE)2E\frac{(O-E)^{2}}{E}} \\ \hline A & 6 & 12.6 & & 3.457 & \checkmark & 0 \\ \hline B & 17 & 12.6 & & 1.537 & \checkmark & 080^{8} \\ \hline C & 6 & 12.6 & & 3.457 & \checkmark & 06 \\ \hline D & 16 & 12.6 & & 0.917 & \checkmark & 06 \\ \hline E & 18 & 12.6 & 0\checkmark 0 & 2.314 & \checkmark & 06 \\ \hline \end{tabular}
Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations.
What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) χ2=11.6820\chi^{2}=11.682 \quad \checkmark 0^{\infty}
What are the degrees of freedom for this test? d.f. == \square 4 0
What is the pp-value for this sample? (Report answer accurate to four decimal places.) p -value = \square It may be best to use the =CHIDIST( ) function in a Spreadsheet to do this calculation. The pp-value is...

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Problem 2945

You are conducting a multinomial hypothesis test ( α=0.05\alpha=0.05 ) for the claim that all 5 categories are equally likely to be selected. Complete the table. \begin{tabular}{|c|c|c|c|} \hline Category & Observed Frequency & Expected Frequency & (OE)2E\frac{(O-E)^{2}}{E} \\ \hline A & 20 & & \\ \hline B & 13 & & \\ \hline C & 12 & & \\ \hline D & 8 & & \\ \hline E & 24 & & \\ \hline \end{tabular}
Report all answers accurate to three decimal places. But retain unrounded numbers for future

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Problem 2946

Townsville's population is about 192000. A random sample of 600 residents found that 97 of them attended a recent music festival. Based on this sample, how many Townsville residents would you expect to have attended the music festival?

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Problem 2947

What is the mean of the following numbers? 2,4,9,52, \quad 4, \quad 9, \quad 5

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Problem 2948

Determine μx\mu_{\mathrm{x}}^{-}and σx\sigma_{\mathrm{x}}^{-}from the given parameters of the population and sample size. μ=53,σ=6,n=35\mu=53, \sigma=6, n=35 μxˉ=53σxˉ=\begin{array}{l} \mu_{\bar{x}}=53 \\ \sigma_{\bar{x}}=\square \end{array} (Round to three decimal places as needed.)

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Problem 2949

age of of 19 VUAises
YUAssess question 3 Notyot answered
A student obtains the following data for a sample of SrCl2,nH2O\mathrm{SrCl}_{2}, \mathrm{nH}_{2} \mathrm{O} 27.29 g
Mass of crucible: Mass of crucible and hydrate: 28.56 g
Mass of crucible and anhydrous residue after heating: 28.05 g
The correct formula of the hydrate is: SrCl23H2O\mathrm{SrCl}_{2} 3 \mathrm{H}_{2} \mathrm{O} SrCl2.4H2O\mathrm{SrCl}_{2} .4 \mathrm{H}_{2} \mathrm{O} SrCl26H2O\mathrm{SrCl}_{2} \cdot 6 \mathrm{H}_{2} \mathrm{O} SrCl2.7H2O\mathrm{SrCl}_{2} .7 \mathrm{H}_{2} \mathrm{O}

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Problem 2950

The shape of the distribution of the time required to get an oil change at a 10-minute oil-change facility is skewed right. However, records indicate that the mean time is 11.2 minutes, and the standard deviation is 4.3 minutes. Complete parts (a) through (c) below.
Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required?
Choose the required sample size below. A. The sample size needs to be greater than 30. B. The normal model cannot be used if the shape of the distribution is skewed right. C. The sample size needs to be less than 30 . D. Any sample size could be used. (b) What is the probability that a random sample of n=35\mathrm{n}=35 oil changes results in a sample mean time less than 10 minutes?
The probability is approximately \square \square. (Round to four decimal places as needed.) (c) Suppose the manager agrees to pay each employee a $50\$ 50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, at what mean oil-change time would there be a 10\% chance of being at or below? This will be the goal established by the manager.

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Problem 2951

THIS IS A PRACTICE TEST 9 Mark for Review \begin{tabular}{|c|c|c|} \hline Value & \begin{tabular}{c} Data set A \\ frequency \end{tabular} & \begin{tabular}{c} Data set B \\ frequency \end{tabular} \\ \hline 30 & 2 & 9 \\ \hline 34 & 4 & 7 \\ \hline 38 & 5 & 5 \\ \hline 42 & 7 & 4 \\ \hline 46 & 9 & 2 \\ \hline \end{tabular}
Data set A and data set B each consist of 27 values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?
A The mean of data set AA is greater than the mean of data set BB.
B The mean of data set AA is less than the mean of data set BB. (C) The mean of data set AA is equal to the mean of data set BB. (D) There is not enough information to compare the means of the data sets.

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Problem 2952

Mary's TV uses a perpetual inventory system. The following are three recent merchandising transactions: Mar. 6 Purchased eight TVs from Whosa Industries on account. Invoice price, $350\$ 350 per unit, for a total of $2,800\$ 2,800. The terms of purchase were 2/10,n/302 / 10, n / 30. Mar. 11 Sold two of these televisions for $600\$ 600 cash. Mar. 16 Paid the account payable to Whosa Industries within the discount period. Instructions a. Prepare journal entries to record these transactions assuming that Mary's records purchases of merchandise at:
1. Net cost
2. Gross invoice price b. Assume that Mary's did not pay Whosa Industries within the discount period but instead paid the full invoice price on April 6. Prepare journal entries to record this payment assuming that the original liability had been recorded at:
1. Net cost
2. Gross invoice price c. Assume that you are evaluating the efficiency of Mary's bill-paying procedures. Which accounting method-net cost or gross invoice priceprovides you with the most useful information? Explain.

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Problem 2953

The following table shows the quantity of molecules used as respiratory substrates during enzyme-controlled reactions. \begin{tabular}{|c|c|} \hline Substance & \begin{tabular}{c} Average quantity used \\ per day (units) \end{tabular} \\ \hline Glucose & 78 \\ \hline Amino acids & 45 \\ \hline Glycogen & 60 \\ \hline Fatty acids & 62 \\ \hline \end{tabular}
Calculate the percentage decease in the average quantity used per day between glucose and glycogen.
Space for working \qquad \% decrease Calculate the simplest whole number ratio of average quantity used per day for glycoger compared to amino acids. \qquad \qquad

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Problem 2954

2. Consider the following frequency distribution \begin{tabular}{|l|l|l|c|l|l|l|l|} \hline Class & 151915-19 & 202420-24 & 252925-29 & 303430-34 & 353935-39 & 404440-44 & 454945-49 \\ \hline Frequency & 10 & 22 & f1f_{1} & 40 & f2f_{2} & 18 & 12 \\ \hline \end{tabular}
The total frequency is 160 and the modal value is 31.0909 . Find; i) The value of f1f_{1} and f2f_{2} ii) Mode iii) Median iv) Coefficient of Quartile deviation v) Mean vi) Mean Absolute deviation vii) Standard deviation

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Problem 2955

Submit Question
Question 2 0/10 / 1 pt 5 99 Details
ANOVA is a statistical procedure that compares two or more treatment conditions for differences in variance. True False
Question Help: Written Example Post to forum Submit Question

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Problem 2956

Part 1 of 4 HW Score: 32.14\%, 32.14 of 100 points Points: 5.14 of 6 Save
Listed below in order are prices in dollars for a Big Mac hamburger in the United States, Canada, Mexico, China, Japan, Russia, Switzerland, Italy, Spain, Britain, Indla, and Egypt. Such data are used to compare currency exchange rates and the costs of goods in different countries. Find the range, variance, and standard deviation for the given sample data. What do the measures of variation tell us about the prices of a Big Mac in different countries? 5.305.272.573.203.352.306.795.064.764.372.821.86\begin{array}{llllllllllll} 5.30 & 5.27 & 2.57 & 3.20 & 3.35 & 2.30 & 6.79 & 5.06 & 4.76 & 4.37 & 2.82 & 1.86 \end{array}
The range is \square dollars. (Type an integer or decimal rounded to two decimal places as needed.)

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Problem 2957

(Aufmann) Route Planning: Brian needs to visit the pet store, the shopping mall, the local farmers market and the pharmacy. His estimated driving times (in minutes) between the locations are given the table below. Use the greedy algorithm and the edge-picking algorithm to find two possible routes, starting and ending at home, that will help Brian minimize his total travel time. \begin{tabular}{|c|c|c|c|c|c|} \hline & Home & Petstore & \begin{tabular}{l} Shopping \\ mall \end{tabular} & Farmers market & Pharmacy \\ \hline Home & - & 18 & 27 & 15 & 8 \\ \hline Pet stary & 18 & - & 24 & 22 & 10 \\ \hline Shopping mall & 27 & 24 & - & 20 & 32 \\ \hline Farmer: market. & 15 & 22 & 20 & - & 22 \\ \hline Pharmacy & 8 & 10 & 32 & 22 & - \\ \hline \end{tabular}

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Problem 2958

A certain businessman visits various companies, looking for investors for his startup. It is known that the chance that a potential investor will not decide to engage is 35.5%35.5 \%. We assume that the decisions of potential investors are independent. The businessman continues his visits until the third refusal (i.e. until he sees the third person who decides not to invest). Let XX denote the number of companies visited by the investor. Calculate P(X=10)P(X=10).
Round the result to THREE decinnal places.

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Problem 2959

Let XX be a random variable with a CDF equal to F(x)=c(11.5xex)1[1.8;)(x)F(x)=c \cdot\left(\frac{1}{1.5}-x e^{-x}\right) \cdot \mathbb{1}_{[1.8 ; \infty)}(x), where cc is a constant. Find cc :
Answer: 3.361 \square
The correct answer is: 1.500
For the random variable defined aboveP (X[3.96;))(X \in[3.96 ; \infty)) amounts to
Answer: \square 1

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Problem 2960

What is the total amount of money being added to the account in the table of deposits shown below? \begin{tabular}{|l|r|} \hline \multicolumn{1}{|c|}{ Deposits } & \multicolumn{1}{c|}{ Amount } \\ \hline Incoming ACH & $1874.79\$ 1874.79 \\ \hline Incoming Phone Transfer & $23.82\$ 23.82 \\ \hline Incoming App Transfer & $65.79\$ 65.79 \\ \hline Check Mobile Deposit & $24.19\$ 24.19 \\ \hline \end{tabular} \$[?]

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Problem 2961

What is the total amount of money being added to the account in the table of deposits shown below? \begin{tabular}{|l|r|} \hline \multicolumn{1}{|c|}{ Deposits } & \multicolumn{1}{c|}{ Amount } \\ \hline Incoming ACH & $2185.60\$ 2185.60 \\ \hline Incoming Phone Transfer & $23.03\$ 23.03 \\ \hline Incoming App Transfer & $60.51\$ 60.51 \\ \hline Check Mobile Deposit & $21.44\$ 21.44 \\ \hline \end{tabular} ?

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Problem 2962

A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 23 dieters, are chosen for the study. Group AA is required to follow a specific diet and exercise regimen, and also take a 500 -mg supplement of calcium each day, Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 12.5 pounds with a standard deviation of 2.9 pounds. The members of Group B had lost a mean of 16.6 pounds with a standard deviation of 2.8 pounds during the same time period. Assume that the population variances are not the same. Construct a 90%90 \% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500 -mg supplement of calcium each day, and let Population 2 be the amount of weight lost by Group B, who did not take a calcium supplement. Round the endpoints of the finterval to one decimal place, if necessary.
Answer Tables Keypad Keyboard Shortcuts

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Problem 2963

Period
7. In a normal distribution, x=3x=3 and z=0.67z=0.67. This tells you that x=3x=3 is \qquad standard deviations to the \qquad (left or right) of the mean.
8. In a normal distribution, x=5x=-5 and z=3.14z=-3.14. This tells you that x=5x=-5 is \qquad mean. standard deviations to the \qquad (left or right) of the
9. The life of Sunshine DVD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A DVD player is guaranteed for three years. We are interested in the length of time a DVD player lasts. Find the z score corresponding to the guaranteed life of 3 years
10. The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean 125 and standard deviation 14. Systolic blood pressure for males follows a normal distribution. a. Calculate the z-scores for the male systolic blood pressure 100 and 150 millimeters. b. If a male friend of yours said that he thought his systolic blood pressure was 2.5 standard deviations below the mean, but he believed his blood pressure was between 100 and 150 millimeters, what would you say to him.

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Problem 2964

4 Homework Question 12, 1.4.69-GC Part 1 of 3
The table lists the average tuition and fees at private colleges and universities for selected years. \begin{tabular}{|c|c|c|c|c|c|} \hline Year & 1985 & 1990 & 1995 & 2000 & 2008 \\ \hline \begin{tabular}{c} Tuition and \\ Fees \\ (in dollars) \end{tabular} & 5413 & 9397 & 12,404 & 16,208 & 25,143 \\ \hline \end{tabular} (a) Find the equation of the least-squares regression line that models the data. y\mathrm{y} \approx \square (Type the slope as a decimal rounded to three decimal places. Round the yy-intercept to the nearest integer.)

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Problem 2965

Carefully read the nutrition facts and then use the information from the label to answer the question. Suppose a morning bowl of cereal consists of 1121 \frac{1}{2} cups of cereal with 1 cup of fat-free milk. How much sodium is consumed? (Hint: Use the data listed in the first footnote below the table of nutrition facts.)
Click the icon to see the nutrition facts.
480 mg of sodium are consumed. (Sifmplify your answer.) Nutrition Facts \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{Nutrition Facts} \\ \hline Serving Size & & 3/43 / 4 Cup (30 \\ \hline & & g/1.1 oz) \\ \hline Servings per container & & About 16 \\ \hline & & Cereal with 1/21 / 2 \\ \hline & & Cup \\ \hline & & Vitamins A\&D Fat \\ \hline Amount Per Serving & Cereal & Free Milk \\ \hline Calories & 120 & 150 \\ \hline Calories from Fat & 0 & 0 \\ \hline \multicolumn{3}{|r|}{\%Daily Value**} \\ \hline Total Fat 0g0 \mathrm{g*} & 0\% & 0\% \\ \hline Saturated Fat 0 g & 0\% & 0\% \\ \hline \multicolumn{3}{|l|}{Trans Fat 0 g} \\ \hline Cholesterol 0 mg & 0\% & 0\% \\ \hline Sodium 130 mg & 6\% & 9\% \\ \hline Potassium 20 mg & 1\% & 6\% \\ \hline Total Carbohydrate 27 g & 9\% & 11\% \\ \hline Dietary Fiber 1 g & 3\% & 3\% \\ \hline \multicolumn{3}{|l|}{Sugars 11 g} \\ \hline \multicolumn{3}{|l|}{Other Carbohydrate 15 g} \\ \hline \multicolumn{3}{|l|}{Protein 1 g} \\ \hline Vitamin A & 10\% & 15\% \\ \hline Vitamin C & 25\% & 25\% \\ \hline Calcium & 0\% & 15\% \\ \hline Iron & 25\% & 25\% \\ \hline Vitamin D & 10\% & 25\% \\ \hline \end{tabular}

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Problem 2966

Hospital Emergency Waiting Times The mean of the waiting times in an emergency room is 124 minutes with a standard deviation of 8.9 minutes for people who are admitted for additional treatment. The mean waiting time for patients who are discharged after receiving treatment is 105 minutes with a standard deviation of 9.3 minutes. Which times are more variable?
Part: 0/20 / 2 \square
Part 1 of 2
Calculate the coefficient of variation. Round your answers to one decimal place.
Additional treatment CVar : \square %\%
Discharged CVar: \square \%

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Problem 2967

Steve believes that his wife's cell phone battery does not last as long as his cell phone battery. On nine different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 15.8 hours with a standard deviation of 3.1 hours. He measured the length of time his wife's cell phone battery lasted on twelve different occasions and calculated a mean of 24.2 hours with a standard deviation of 7.9 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 2 of 2: Interpret the confidence interval obtained in Step 1.
Answer Tables Keypad Keyboard Shortcuts Since the confidence interval contains zero, the data do not provide evidence that the population means are unequal at a 90%90 \% confidence level. We are 90%90 \% confident that the mean battery life of Steve's cell phone is between 3.6 hours and 13.2 hours shorter than the mean battery life of his wife's cell phone. We are 90%90 \% confident that the mean battery life of Steve's cell phone is between 3.6 hours and 13.2 hours longer than the mean battery life of his wife's cell phone. Since the confidence interval does not contain zero, the data do not provide evidence that the population means are unequal at a 90%90 \% confidence level.

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Problem 2968

5. A modified deck of cards is created by removing the 9 s and 10 s , and the red aces, from a regular deck. a. How many cards are in this deck? (1 mark) b. Given that an 8-card hand has been dealt from this deck, what is the probability of having exactly 3 hearts, 2 diamonds, 2 spades, and 1 club? (3 marks)| c. When drawing two cards from this deck without replacement, what ar odds against getting a pair (two cards of the same rank)? (4 marks)

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Problem 2969

Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 11 people with bachelor's degrees in education were surveyed. Their mean annual salary was $45,000\$ 45,000 with a standard deviation of $6700\$ 6700. Sixteen people with doctoral degrees in education were found to have a mean annual salary of $40,500\$ 40,500 with a standard deviation of $5200\$ 5200. Assume that the population variances are not the same. Construct a 99%99 \% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary. Tables Keypad Answer Keyboard Shortcuts

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Problem 2970

24)
Which method is most likely to produce a random sample of 5 students from a school club?
A selecting 5 club members who have brown hair B selecting the 5 dub members wiph have raised the most funds for the club C selecting 5 club members from a hat containing the names of all members D selecting the 5 club members who arrive last to a club meeting

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Problem 2971

Given two independent random samples with the following results: n1=16n2=8xˉ1=152xˉ2=125s1=14s2=11\begin{array}{ll} n_{1}=16 & n_{2}=8 \\ \bar{x}_{1}=152 & \bar{x}_{2}=125 \\ s_{1}=14 & s_{2}=11 \end{array}
Use this data to find the 98%98 \% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Copy Data
Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.
Answer How to enter your answer (opens in new window) Tables Keypad Keyboard Shortcuts

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Problem 2972

Steve believes that his wife's cell phone battery does not last as long as his cell phone battery. On twelve different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 22.3 hours with a standard deviation of 3.2 hours. He measured the length of time his wife's cell phone battery lasted on eight different occasions and calculated a mean of 15.9 hours with a standard deviation of 7.2 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 2 of 2: Interpret the confidence interval obtained in Step 1.
Answer Tables Keypad Keyboard Shortcuts Since the confidence interval does not contain zero, the data do not provide evidence that the population means are unequal at a 90%90 \% confidence level. We are 90%90 \% confident that the mean battery life of Steve's cell phone is between 2.3 hours and 10.5 hours shorter than the mean battery life of his wife's cell phone. We are 90%90 \% confident that the mean battery life of Steve's cell phone is between 2.3 hours and 10.5 hours longer than the mean battery life of his wife's cell phone. Since the confidence interval contains zero, the data do not provide evidence that the population means are unequal at a 90%90 \% confidence level.

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Problem 2973

Given two independent random samples with the following results: n1=8n2=12xˉ1=112xˉ2=134s1=16s2=28\begin{array}{ll} n_{1}=8 & n_{2}=12 \\ \bar{x}_{1}=112 & \bar{x}_{2}=134 \\ s_{1}=16 & s_{2}=28 \end{array}
Use this data to find the 99%99 \% confidence interval for the true difference between the population means. Assume that the population variances are not equal and that the two populations are normally distributed. Copy Data
Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.
Answer How to enter your answer (opens in new window) Tables Keypad Keyboard Shortcuts

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Problem 2974

Nov 26 - 11:59pm11: 59 \mathrm{pm}
The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute. How does the printing rate for Printer B compare to the printing rate for Printer A ? Printer Rates Review Progress Question 4 of 5 Back Next

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Problem 2975

Following are heights, in inches, for a sample of college basketball players. 8488868570757286788186788172737677878884\begin{array}{llllllllllllllllllll} 84 & 88 & 86 & 85 & 70 & 75 & 72 & 86 & 78 & 81 & 86 & 78 & 81 & 72 & 73 & 76 & 77 & 87 & 88 & 84 \end{array}
Send data to Excel Find the sample standard deviation for the heights of the basketball players. 80.4 6.0 18.0 5.8

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Problem 2976

Let XX be a non-negative random variable with a distribution such that P(X>a)=e0.6aP(X>a)=e^{-0.6 a} for all a>0a>0. Calculate P(eX0.291)P\left(e^{X}-0.29 \leq 1\right).

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Problem 2977

GUIDED SOLUTION
Essays A professor wishes to see if two groups of students' essays differ in lengths, that is, the number of words in each essay. The professor randomly selects 12 essays from a group of students who are science majors and 10 essays from a group of humanities majors to compare. The data are shown. At α=0.10\alpha=0.10, can it be concluded that there is a difference in the lengths of the essays between the two groups?
Science majors  Science majors 205731292501346427622075298437833259238939393425\begin{array}{llllllllll} \text { Science majors } \\ \hline 2057 & 3129 & 2501 & 3464 & 2762 & 2075 & 2984 & 3783 & 3259 & 2389 \\ 3939 & 3425 \end{array}
Humanities majors  Humanities majors 269829402257193321740\begin{array}{l} \text { Humanities majors } \\ \hline 2698 \\ \hline 2940 \\ 2257 \\ 19332 \\ 1740 \end{array}
Send data to Excel Use μ1\mu_{1} for the mean of science majors and μ2\mu_{2} for the mean of humanities majors. Assume the populations are normally distributed, and that the variances are unequal. (a) State the hypotheses and identify the claim with the correct hypothesis. (b) Find the critical value(s). (c) Compute the test value. (d) Make the decision. (e) Summarize the results. (a) State the hypotheses and identify the claim with the correct hypothesis.
The null hypothesis H0H_{0} is the statement that there is (Choose one) \nabla between the means. This is equivalent to μ1\mu_{1} (Choose one) μ2\nabla \mu_{2}.

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Problem 2978

2-3 Additional Practice Scan for Multimedia
1. At a café, the cook uses a recipe that calls for eggs and milk. The amounts of eggs and milk have a proportional relationship. Complete the table. \begin{tabular}{|l|l|l|l|} \hline Number of Eggs & 2 & 3 & 4 \\ \hline Cups of Malls & 6 & & 12 \\ \hline Mills  Sggs \frac{\text { Mills }}{\text { Sggs }} & & 31\frac{3}{1} & 31\frac{3}{1} \\ \hline \end{tabular}

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Problem 2979

4. Paula just turned 18 and is about to start a 3-year college program. She lives with her family, but she still needs about $2000\$ 2000 each year for expenses. - Paula has been working part-time for the past 3 years and has deposited $50\$ 50 each month into an investment account that earns 2.7%2.7 \%, compounded monthly. - When she was born, her parents opened an RESP account that earns 3.2%3.2 \%, compounded monthly. Her parents have deposited $10\$ 10 each month into this account. a) How much money does Paula have when she starts first year? b) Paula decides to redeem her investments when she starts first year, and she withdraws $2000\$ 2000 for her expenses. She then reinvests the rest of the money in a savings account that earns 3.5%3.5 \%, compounded daily. Will she have enough money for her expenses when she starts second year? Explain. c) If Paula withdraws another $2000\$ 2000 for second year, will she have enough money for third year? If not, how much does she need to save over the summer between second and third year?

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Problem 2980

JR makes 91%91 \% of all three-point shots and 77%77 \% of all free-throw shots while playing basketball. Suppose she shoots 7 three-point shots and 7 free-throw shows. What is the probability that she makes 6 three-point shots and 5 free-throw shots?
State answer as a decimal rounded to six decimal places. \square Basic

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Problem 2981

\begin{align*} &\text{Which of the following set of statements is true?} \\ &\text{1. About 94\% of the variation in daily temperature can be explained by a positive linear relationship with beach visitors.} \\ &\text{2. The correlation coefficient, } r, \text{ is } 0.880 \\ &\text{3. There is no strong correlation in the linear association between beach visitors and daily temperatures.} \\ &\text{4. The correlation coefficient, } r, \text{ is } 0.880 \\ &\text{5. About 94\% of the variation in beach visitors can be explained by a positive linear relationship with daily temperature.} \\ &\text{6. The correlation coefficient, } r, \text{ is } 0.969. \\ \end{align*}

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Problem 2982

\begin{tabular}{|c|c|} \hline Ages & Number of students \\ \hline \hline 151815-18 & 9 \\ \hline 192219-22 & 7 \\ \hline 232623-26 & 6 \\ \hline 273027-30 & 4 \\ \hline 313431-34 & 2 \\ \hline 353835-38 & 8 \\ \hline \end{tabular}
Based on the frequency distribution above, find the relative frequency for the class with a lower class limit of 23
Give your answer as a percent, rounded to 1 place after the decimal point, if necessary. Type only a number in the answer box (do NOT type "\%" after your answer).
Relative Frequency = \square \%

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Problem 2983

5 a) 30 Kinder der 5 c haben die Länge einer Strecke an der Tafel auf cm genau geschätzt: 98;92;66;68;74;87;65;75;91;91;94;77;60;82;92;84;95;86;74;87;95;59;77;77;64;72;85;7298 ; 92 ; 66 ; 68 ; 74 ; 87 ; 65 ; 75 ; 91 ; 91 ; 94 ; 77 ; 60 ; 82 ; 92 ; 84 ; 95 ; 86 ; 74 ; 87 ; 95 ; 59 ; 77 ; 77 ; 64 ; 72 ; 85 ; 72; 74; 84. Bestimmen Sie die Standardabweichung ss der Schätzwerte. b) Welche Länge hat die Strecke vermutlich in Wirklichkeit (zwischen ... und ...cm)? c) Bestimmen Sie, welcher Anteil der Schätzwerte weniger als eine Standardabweichung vom Mittelwert entfernt liegt.

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Problem 2984

4.13. According to Nielsen Media Research, approximately 86%86 \% of all U.S. households have high-definition television (HDTV). In addition, 49\% of all U.S. households own digital video recorders (DVR). Suppose 40\% of all U.S. households have HDTV and have DVR. A U.S. household is randomly selected. 1) What is the probability that the household has HDTV or has DVR? 2) What is the probability that the household does not have HDTV or does have DVR? 3) What is the probability that the household does have HDTV or does not have DVR? 4) What is the probability that the household does not have HDTV or does not have DVR?

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Problem 2985

The events AA and BB satisfy: P(AB)=2/3P(A \cup B)=2 / 3 and P(AB)=1/2P\left(A^{\prime} \mid B^{\prime}\right)=1 / 2. The value of P(B)P(B) is a. 35\frac{3}{5} b. 12\frac{1}{2} C. 23\frac{2}{3} d. 19\frac{1}{9} e. none of them f. 15\frac{1}{5} g. 13\frac{1}{3}

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Problem 2986

Generate the Simple Linear Regression Output using Excel for Sales (Y) and Advertising (X) and answer the following questions.\text{Generate the Simple Linear Regression Output using Excel for Sales } (Y) \text{ and Advertising } (X) \text{ and answer the following questions.}
Using the regression line obtained from the output, predict the mean sales (Y) for an advertising cost (X) of $750. (Round to two decimal places)\text{Using the regression line obtained from the output, predict the mean sales } (Y) \text{ for an advertising cost } (X) \text{ of } \$750. \text{ (Round to two decimal places)}
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}
Dialogue Transcript:\text{Dialogue Transcript:}
Hello! To help you predict the mean sales for an advertising cost of $750 using a Simple Linear Regression model, I’ll need the regression equation from your Excel output. This typically looks like:\text{Hello! To help you predict the mean sales for an advertising cost of } \$750 \text{ using a Simple Linear Regression model, I'll need the regression equation from your Excel output. This typically looks like:}
Y=a+bXY = a + bX
Where:\text{Where:}
\begin{align*} & Y \text{ is the mean sales.} \\ & X \text{ is the advertising cost.} \\ & a \text{ is the intercept.} \\ & b \text{ is the slope.} \\ \end{align*}
Could you please provide the values of a (the intercept) and b (the slope) from your regression output? That way, I can help you solve the problem accurately.\text{Could you please provide the values of } a \text{ (the intercept) and } b \text{ (the slope) from your regression output? That way, I can help you solve the problem accurately.}
Extracted text from attached image:\text{Extracted text from attached image:}
SalesAdvertisi1(Y)ng (X)2158.44003160.44204163.44405167.44616172.44827178.45048185.45279193.455010202.457311212.459712223.462213235.464714248.467215262.469816277.472417293.475118310.477919328.480720347.483521367.486422388.489323410.492324433.495425457.498526482.4101627508.4104828535.4108029563.4111330592.4114731622.4118032653.4121533685.4125034718.4128535752.41321\begin{array}{|c|c|c|} \hline & \text{Sales} & \text{Advertisi} \\ \hline 1 & (Y) & \text{ng (X)} \\ \hline 2 & 158.4 & 400 \\ \hline 3 & 160.4 & 420 \\ \hline 4 & 163.4 & 440 \\ \hline 5 & 167.4 & 461 \\ \hline 6 & 172.4 & 482 \\ \hline 7 & 178.4 & 504 \\ \hline 8 & 185.4 & 527 \\ \hline 9 & 193.4 & 550 \\ \hline 10 & 202.4 & 573 \\ \hline 11 & 212.4 & 597 \\ \hline 12 & 223.4 & 622 \\ \hline 13 & 235.4 & 647 \\ \hline 14 & 248.4 & 672 \\ \hline 15 & 262.4 & 698 \\ \hline 16 & 277.4 & 724 \\ \hline 17 & 293.4 & 751 \\ \hline 18 & 310.4 & 779 \\ \hline 19 & 328.4 & 807 \\ \hline 20 & 347.4 & 835 \\ \hline 21 & 367.4 & 864 \\ \hline 22 & 388.4 & 893 \\ \hline 23 & 410.4 & 923 \\ \hline 24 & 433.4 & 954 \\ \hline 25 & 457.4 & 985 \\ \hline 26 & 482.4 & 1016 \\ \hline 27 & 508.4 & 1048 \\ \hline 28 & 535.4 & 1080 \\ \hline 29 & 563.4 & 1113 \\ \hline 30 & 592.4 & 1147 \\ \hline 31 & 622.4 & 1180 \\ \hline 32 & 653.4 & 1215 \\ \hline 33 & 685.4 & 1250 \\ \hline 34 & 718.4 & 1285 \\ \hline 35 & 752.4 & 1321 \\ \hline & \end{array}

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Problem 2987

Question Watch Video Show Examples
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 2x82 \leq x \leq 8. \begin{tabular}{|c|c|} \hlinexx & f(x)f(x) \\ \hline 2 & 7 \\ \hline 4 & 15 \\ \hline 6 & 31 \\ \hline 8 & 55 \\ \hline 10 & 87 \\ \hline \end{tabular}
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 2988

Question Watch Video Show Examples
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 12x3012 \leq x \leq 30. \begin{tabular}{|c|c|} \hlinexx & f(x)f(x) \\ \hline 3 & 52 \\ \hline 12 & 40 \\ \hline 21 & 28 \\ \hline 30 & 16 \\ \hline 39 & 4 \\ \hline 48 & -8 \\ \hline \end{tabular}
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 2989

IA physics master gave her class 2 tent. 30%30 \% of the class passed both test and 45%45 \% of the yy dass passed the 7 st test. What %\% of these who passed the 1st test also passed the 2nd test

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Problem 2990

A strain of bacteria is placed into a petri dish at 30C30^{\circ} \mathrm{C} and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law of uninhibited growth. The population is measured using an optical device in which the amount of light that passes through the petri dish is measured. Complete parts (a)-(e). \begin{tabular}{|cc|} \hline Time (hours), x\mathbf{x} & Population, y\mathbf{y} \\ \hline 0 & 0.23 \\ \hline 2.5 & 0.43 \\ \hline 3.5 & 0.60 \\ \hline 4.5 & 0.80 \\ \hline 6 & 1.13 \\ \hline \end{tabular} (a) Treating time, x , as the predictor variable, use a graphing utility to fit an exponential function to the data. y=abx=\mathrm{y}=\mathrm{ab}^{\mathrm{x}}=\square (Round to four decimal places as needed.)

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Problem 2991

The 5 -number summary is 3.0,6.0,6.5,9.03.0,6.0,6.5,9.0, and 10.0 . (Use ascending order. Type integers or decimals. Do not round.) Which of the following boxplots best represents the data? A. B. C. D.

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Problem 2992

Speeding Tickets A motorist claims that the South Boro Police issue an average of 60 speeding tickets per day. The following data show the number of speeding tickets issued each day for a period of one month. Assume σ\sigma is 13.42 . Is there enough evidence to reject the motorist's claim at α=0.10\alpha=0.10 ? Use the PP-value method. Assume the variable is normally distributed. \begin{tabular}{llllllll} 57 & 60 & 83 & 26 & 72 & 58 & 87 & 48 \\ 59 & 60 & 56 & 64 & 68 & 42 & 57 & 58 \\ 63 & 49 & 73 & 75 & 42 & 63 & 57 & 60 \\ 72 & 45 & & & & & & \end{tabular} Send data to Excel
Part: 0/50 / 5
Part 1 of 5 (a) State the hypotheses and identify the claim. H0: (Choose one) H1: (Choose one) \begin{array}{l} H_{0}: \square \text { (Choose one) } \nabla \\ H_{1}: \square \text { (Choose one) } \nabla \end{array}
This hypothesis test is a (Choose one) \boldsymbol{\nabla} test. \square

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Problem 2993

1 Homework Question 16, 9.1.31-T HW Score: 88.82\%, 30.2 of 34 points Part 2 of 9 Points: 0 of 1 Save
In a survey conducted by a reputable marketing agency, 252 of 1000 adults 19 years of age or older confessed to bringing and using their cell phone every trip to the bathroom (confessions included texting and answering phone calls). Complete parts (a) through (f) below. (a) What is the sample in this study? What is the population of interest?
Determine the sample in this study. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The sample is all adults. B. The sample is the 1000 adults 19 years of age or older. (Type a whole number.) C. The sample is all adults with a cell phone. D. The sample is all adults 19 years of age or older.
Determine the population of interest. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The population is all adults 19 years of age or older. B. The population is the \square adults 19 years of age or older. (Type a whole number.) C. The population is all cell phone users. D. The population is all adults.

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Problem 2994

Bookwork code: 2C Calculator not allowed
The journey time from Waterloo to Dartford is always the same. Work out the time that goes in the gap. \begin{tabular}{|l|c|c|c|} \hline Train station & \multicolumn{3}{|c|}{ Time } \\ \hline Waterloo & 17:2517: 25 & 17:4517: 45 & \square \\ \hline Bridge & 17:3117: 31 & 17:5517: 55 & 18:0918: 09 \\ \hline Lewisham & 17:5017: 50 & 18:0018: 00 & 18:1718: 17 \\ \hline Blackheath & 18:0218: 02 & 18:1018: 10 & 18:2918: 29 \\ \hline Dartford & 18:3018: 30 & 18:5018: 50 & 19:1019: 10 \\ \hline \end{tabular}

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Problem 2995

Having problems staying logged in or are you experiencing issues? Ple: The data represents a sample of gas that has a constant temperature and number of particles. Use the data to answer these two questions.
When the volume of the gas is tripled (i.e., three times larger), the pressure of the gas becomes \begin{tabular}{|c|c|c|} \hline Trial & \begin{tabular}{c} Volume \\ (L) \end{tabular} & \begin{tabular}{c} ssure \\ atm) \end{tabular} \\ \hline 1 & 2.00 & 6.00 \\ \hline 2 & 3.00 & 4.00 \\ \hline 3 & 4.00 & 3.00 \\ \hline 4 & 6.00 & 2.00 \\ \hline 5 & 8.00 & 1.50 \\ \hline \end{tabular} \qquad

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Problem 2996

The data represents a sample of gas that has a constant temperature and number of particles. Use the data to answer these two questions.
When the volume of the gas is doubled, the pressure of the gas becomes \begin{tabular}{|c|c|c|} \hline Trial & \begin{tabular}{c} Volume \\ (L) \end{tabular} & \begin{tabular}{c} Pressure \\ ( atm) \end{tabular} \\ \hline 1 & 2.00 & 6.00 \\ \hline 2 & 3.00 & 4.00 \\ \hline 3 & 4.00 & 3.00 \\ \hline 4 & 6.00 & 2.00 \\ \hline 5 & 8.00 & 1.50 \\ \hline \end{tabular} one-half the size

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Problem 2997

The data represents a sample of gas that has a constant temperature and number of particles. Use the data to answer these two questions.
When the volume of the gas is quadrupled (i.e., four times larger), the pressure of the gas \begin{tabular}{|c|c|c|} \hline Trial & \begin{tabular}{c} Volume \\ (L) \end{tabular} & \begin{tabular}{c} Pressure \\ (atm) \end{tabular} \\ \hline 1 & 2.00 & 6.00 \\ \hline 2 & 3.00 & 4.00 \\ \hline 3 & 4.00 & 3.00 \\ \hline 4 & 6.00 & 2.00 \\ \hline 5 & 8.00 & 1.50 \\ \hline \end{tabular} becomes \qquad

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Problem 2998

Bookwork code: 2F Calculator not allowed a) How many stops does the 1305 train from York make after leaving York? b) Holly wants to travel directly from Doncaster to Durham. What is the final destination of the train she needs to get on? \begin{tabular}{|c|c|c|c|c|c|c|} \hline \multirow{8}{*}{} & London & 0900 & 1000 & 1100 & 1200 & 1300 \\ \hline & Stevenage & - & 1023 & 1123 & 1223 & 1323 \\ \hline & Doncaster & 1040 & - & 1240 & 1340 & 1440 \\ \hline & York & 1105 & 1205 & 1305 & - & 1505 \\ \hline & Durham & - & 1254 & - & 1454 & \\ \hline & Newcastle & 1217 & 1317 & 1417 & 1517 & 1617 \\ \hline & Berwick & 1220 & - & 1420 & - & 1620 \\ \hline & Edinburgh & & 1426 & 1526 & & \\ \hline \end{tabular}

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Problem 2999

Conduct the following test at the α=0.01\alpha=0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the critical value. Assume that the samples were obtained independently using simple random sampling. Test whether p1p2\mathrm{p}_{1} \neq \mathrm{p}_{2}. Sample data are x1=30,n1=255,x2=38\mathrm{x}_{1}=30, \mathrm{n}_{1}=255, \mathrm{x}_{2}=38 and n2=301\mathrm{n}_{2}=301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. H0:p1=p2H_{0}: p_{1}=p_{2} versus H1:p1<p2H_{1}: p_{1}<p_{2} H0:p1=p2H_{0}: p_{1}=p_{2} versus H1:p1>p2H_{1}: p_{1}>p_{2} H0:p1=p2H_{0}: p_{1}=p_{2} versus H1:p1p2H_{1}: p_{1} \neq p_{2}

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Problem 3000

Conduct a test at the α=0.05\alpha=0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2p_{1}>p_{2}. The sample data are x1=129,n1=241,x2=135x_{1}=129, n_{1}=241, x_{2}=135, and n2=312n_{2}=312. (a) Choose the correct null and alternative hypotheses below. A. H0:p1=p2H_{0}: p_{1}=p_{2} versus H1:p1>p2H_{1}: p_{1}>p_{2} B. H0:p1=p2H_{0}: p_{1}=p_{2} versus H1:p1p2H_{1}: p_{1} \neq p_{2} C. H0:p1=p2H_{0}: p_{1}=p_{2} versus H1:p1<p2H_{1}: p_{1}<p_{2} D. H0:p1=0H_{0}: p_{1}=0 versus H1:p10H_{1}: p_{1} \neq 0

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