Data & Statistics

Problem 1301

Question 5 of 10 (1 point) I Question Attempt: 1 of 1 \begin{tabular}{|l|c|c|c|} \hline How students study & Morning & \begin{tabular}{c} Between \\ classes \end{tabular} & Evening \\ \hline Study in a group & 9 & 3 & 6 \\ \hline Study alone & 1 & 1 & 4 \\ \hline \end{tabular}
If a student who was surveyed is selected at random, find these probabilities, expressed as reduced fractions:
Part: $0 / 3$
Part 1 of 3 (a) The student studies in the evening.
The probability that the student studies in the evening is $\square$
Part: 1 / 3
Part 2 of 3 (b) The student studies in the morning or in a group.
The probability that the student studies in the morning or in a group is $\square$

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Problem 1302

You are given the sample mean and the population standard deviation. Use this information to construct the $90 \%$ and $95 \%$ confidence intervals for the popt results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals.
A random sample of 50 home theater systems has a mean price of $\$ 138.00$ . Assume the population standard deviation is $\$ 17.40$ .
Construct a $90 \%$ confidence interval for the population mean. The $90 \%$ confidence interval is ( $133.95,142.05$ ). (Round to two decimal places as needed) Construct a 95\% confidence interval for the population mean. The 95\% confidence interval is ( $\square$ $\square$ (Round to two decimal places as needed.)

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Problem 1303

Solve. SIS. MAINS amounts of winter squash. \begin{tabular}{|l|c|c|c|c|} \hline Number of Cups & 2 & 4 & 5 & 8 \\ \hline Grams of Fiber & 20 & 40 & 50 & 80 \\ \hline \end{tabular} a. What is the ratio of the number of grams of fiber to the number of cups?
For 2 cups $\qquad$ For 4 cups $\qquad$
For 5 cups $\qquad$ For 8 cups $\qquad$ b. Are the data in the table in a proportional relationship? If so, what is the constant of proportionality? Explain. $\qquad$ divide to find the unit rate or each one c. How could you use a graph to show whether the data are in a proportional relationship? you cangranth all the ratios $\qquad$

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Problem 1304

4 The table shows the number of grams of fiber in different amounts of winter squash. \begin{tabular}{|l|c|c|c|c|} \hline Number of Cups & 2 & 4 & 5 & 8 \\ \hline Grams of Fiber & 20 & 40 & 50 & 80 \\ \hline \end{tabular} a. What is the ratio of the number of grams of fiber to the number of cups?
For 2 cups $\qquad$ For 4 cups $\qquad$ For 5 cups $\qquad$ For 8 cups $\qquad$

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Problem 1305

Management is considering a plant expansion program for the following year that will permit an increase of $\$ 11,160,000$ in yearly sales. The expansion will increase fixed costs by $\$ 3,500,000$ but will not affect the relationship between sales and variable costs.
Required:
1. Determine the total variable costs and the total fixed costs for the current year.
Total variable costs $\$ \mathbf{8 6 , 0 0 0 , 0 0 0} \checkmark$ Total fixed costs $\$ 38,400,000$
2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.
Unit variable cost \ $86 Unit contribution margin \$ 100<br />3. Compute the break-even sales (units) for the current year.$ 384,000 \checkmark$ units
4. Compute the break-even sales (units) under the proposed program for the following year.
419,000 $\checkmark$ units
5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $\$ 61,600,000$ of operating income that was earned in the current year. $1,035,000 \checkmark$ units
6. Determine the maximum operating income possible with the expanded plant. \\square$

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Problem 1306

Shown to the right is a certain population, in billions, for seven selected years from 1950 through 2006. Using a graphing utility's logistic regression option, we obtain the logistic growth model shown below for population, $\mathrm{f}(\mathrm{x})$ , in billions, x years after 1949. How well does the function model the data for 2006? $f(x)=\frac{11.82}{1+3.81 e^{-0.027 x}}$ \begin{tabular}{|c|c|} \hline X, Number of Years after 1949 & y, Population (billions) \\ \hline $1(1950)$ & 2.6 \\ \hline $11(1960)$ & 3.0 \\ \hline $21(1970)$ & 3.7 \\ \hline $31(1980)$ & 4.5 \\ \hline $41(1990)$ & 5.3 \\ \hline $51(2000)$ & 6.1 \\ \hline $57(2006)$ & 6.5 \\ \hline \end{tabular}
For 2006 , the function $\square$ the population to one decimal place. accurately predictś slightly underestimates slightly overestimates

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Problem 1307

The heights of fully grown trees of a specific species are normally distributed, with a mean of 52.5 feet and a standard deviation of 5.75 feet. Random samples of size 17 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.
The mean of the sampling distribution is $\mu_{\bar{x}}=$ $\square$ 7.
The standard error of the sampling distribution is $\sigma_{\bar{x}}=$ $\square$ (Round to two decimal places as needed.)

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Problem 1308

ic 2.2) Einear and Exponential Functions
Name: exponential, or neither. Give a reason given in the table below. For each table, determine if the function 2. \begin{tabular}{|c|c|} \hline $x$ & $g(x)$ \\ \hline 1 & -1 \\ \hline 2 & 0 \\ \hline 3 & 2 \\ \hline 4 & 5 \\ \hline 5 & 9 \\ \hline \end{tabular} 3. 4. \begin{tabular}{|c|c|} \hline $x$ & $k(x)$ \\ \hline 1 & -9 \\ \hline 6 & -2 \\ \hline 11 & 5 \\ \hline 16 & 12 \\ \hline 21 & 19 \\ \hline \end{tabular}

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Problem 1309

Select the correct answer from each drop-down menu. The table shows the hourly cookie sales by students in grades 7 and 8 at the school's annual bake sale \begin{tabular}{|c|c|} \hline Grade 7 & Grade 8 \\ \hline 20 & 21 \\ \hline 15 & 29 \\ \hline 30 & 14 \\ \hline 24 & 19 \\ \hline 18 & 24 \\ \hline 21 & 25 \\ \hline \end{tabular}
The interquartile range for the grade 7 data is $\square$ The interquartile range for the grade 8 data is $\square$ The difference of the medians of the two data sets is $\square$ The difference is about $\square$ times the interquartile range of either data set. Reset Next

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Problem 1310

You are given the sample mean and the population standard deviation. Use this information to construct the $90 \%$ and $95 \%$ confidence intervals for the population mean. Interpret esults and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals.
A random sample of 35 home theater systems has a mean price of $\$ 120.00$ . Assume the population standard deviation is $\$ 19.60$ .
Construct a $90 \%$ confidence interval for the population mean. he $90 \%$ confidence interval is $\square$ $\square$ Round to two decimal places as needed.)

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Problem 1311

The use of the formula for margin of error requires a large sample. For each of the following combinations of $n$ and $\hat{p}$ , indicate whether the sample size is large enough for use of this formula to be appropriate. (a) $n=100$ and $\hat{p}=0.60$ The sample size is large enough. The sample size is not large enough. (b) $n=40$ and $\hat{p}=0.25$ The sample size is large enough. The sample size is not large enough. (c) $n=50$ and $\hat{p}=0.25$ The sample size is large enough. The sample size is not large enough. (d) $n=80$ and $\hat{p}=0.10$ The sample size is large enough. The sample size is not large enough.

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Problem 1312

If all other quantities remain the same, how does the indicated change affect the minimum sample size requirement? (a) Increase in the level of confidence (b) Increase in the error tolerance (c) Increase in the population standard deviation (a) How does an increase in the level of confidence affect the minimum sample size requirement? Choose the correct answer below.
An increase in the level of confidence $\square$ the minimum sample size required.

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Problem 1313

The table to the right shows the results of a survey in which 2579 adults from Country A, 1129 adults from Country B, and 1059 adults from Country C were asked if human activity contributes to global warming. Complete parts (a), (b), and (c).
Adults who say that human activity contributes to global warming \begin{tabular}{|l|r|} \hline Country A & $66 \%$ \\ \hline Country B & $85 \%$ \\ \hline Country C & $92 \%$ \\ \hline \end{tabular} (a) Construct a $90 \%$ confidence interval for the proportion of adults from Country A who say human activity contributes to global warming. ( $0.645,0.675$ ) (Round to three decimal places as needed.) (b) Construct a $90 \%$ confidence interval for the proportion of adults from Country B who say human activity contributes to global warming. $(0.833,0.867)$ (Round to three decimal places as needed.) (c) Construct a $90 \%$ confidence interval for the proportion of adults from Country C who say human activity contributes to global warming. ( $\square$ (Round to three decimal places as needed.)

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Problem 1314

Here is a frequency distribution table (FDT) for a small data set: \begin{tabular}{|r|r|} \hline data value & frequency \\ \hline 27 & 5 \\ \hline 28 & 6 \\ \hline 29 & 2 \\ \hline 30 & 7 \\ \hline 31 & 3 \\ \hline \end{tabular}
Find the following measures of central tendency. mean $(\bar{x})=$ 30.7 $\square$ (Please show your answer to one decimal place.) median $=$ $\square$ 28 (Please enter an exact answer.) mode $=$ $\square$ 30 0 (Please enter an exact answer.)

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Problem 1315

n randomized, double-blind clinical trials of a new vaccine, monkeys were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 123 of 662 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 80 of 543 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the $\alpha=0.10$ level of significance? F. The data come from a population that is normally distributed.
Determine the null and alternative hypotheses. $\begin{array}{l} H_{0}: p_{1}=p_{2} \\ H_{1}: p_{1}>p_{2} \end{array}$
Find the test statistic for this hypothesis test. 1.78 (Round to two decimal places as needed.)
Determine the P-value for this hypothesis test. $\square$ (Round to three decimal places as needed.)

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Problem 1316

Determine whether the statements in parts a) and b) are true or false. Explain your answer in words, or give appropriate counterexamples to support your answers. a. The standard deviation of the set of numbers $-4,4,-4,4,-4,4,-4,4$ is zero. Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. False. The standard deviation of the given set of numbers is $\square$ B. True. The standard deviation of the given set of numbers is 0 .

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Problem 1317

The accompanying figure shows the numbers of refugees arriving in Europe from three countries of origin in 2016. a. What is the ratio of refugees from Venezuela to refugees from Syria? What is the ratio of the lengths of the corresponding bars in the graph? b. Based on your answer to part (a), do you consider the graph to be deceptive? Explain. c. Redraw the bar graph with a starting point of zero on the vertical axis.
Relvges so Europe by Cuntry of Oragn, 2019 a. What is the ratio of refugees from Venezuela to refugees from Syria? $\square$ (Type an integer or decimal rounded to the nearest tenth as needed.) What is the ratio of the lengths of the corresponding bars in the graph? $\square$ b. Based on your answer to part (a), do you consider the graph to be deceptive? Explain. $\square$ because

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Problem 1318

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Metropolis Here's the neighborhood you created and a neighborhood in Metropolis.
Metropolis requires a ratio of $7: 2$ market-rate housing to affordable housing units.
How does your neighborhood compare to Metropolis's requirement?
Metropolis Neighborhood $\sqrt{ \pm}$ Share With Class

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Problem 1319

Andrea and Barsha are middle-distance runners for their school's track team. Andrea's time $A$ in the 400-meter race on a randomly selected day is approximately Normally distributed with a mean of 62 seconds and a standard deviation of 0.8 second. Barsha's time $B$ in the 400-meter race on a randomly selected day is approximately Normally distributed with a mean of 62.8 seconds and a standard deviation of 1 second. Assume that $A$ and $B$ are independent random variables.
What is the probability that Barsha beats Ashley in the 400 -meter race on a randomly selected day? 0.266 0.0368 0.734 0.00003 0.3284

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Problem 1320

\begin{tabular}{l} $\frac{y}{0}$ \\ \hline \end{tabular}
The number of calories in a 1-ounce serving of a certain breakfast cereal is a random variable with mean 110 and standard deviation 10. The number of calories in a cup of whole milk is a random variable with mean 140 and standard deviation 12 . For breakfast, you eat 1 ounce of the cereal with $1 / 2$ cup of whole milk. Let $T$ be the random variable that represents the total number of calories in this breakfast.
The mean of $T$ is 110 140 250 180 195

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Problem 1321

Aurora, Incorporated estimates manufacturing overhead costs for the Year 3 accounting period as follows. \begin{tabular}{lr} Equipment depreciation & $\$ 344,000$ \\ Supplies & 42,000 \\ Materials handling & 68,000 \\ Property taxes & 30,000 \\ Production setup & 42,000 \\ Rent & 70,000 \\ Maintenance & 60,000 \\ Supervisory salaries & 244,000 \end{tabular}
The company uses a predetermined overhead rate based on machine hours. Estimated hours for labor in Year 3 were 200,000 and for machines were 125,000.
Required a. Calculate the predetermined overhead rate.
Note: Round your answer to 2 decimal places. b. Determine the amount of manufacturing overhead applied to Work in Process Inventory during the Year 3 period if actual machine hours were 140,000. Note: Do not round intermediate calculations.

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Problem 1322

QUESTION 10
For a standard normal distribution, find the percentage of data that are between 2 standard deviations below the mean and 3 standard deviations above the mean. (Please enjoy my hand-drawn visual hint!) A. $95.49 \%$ B. 99.74\% C. $97.59 \%$ D. $102.15 \%$

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Problem 1323

Find the $z$ -score that corresponds to the shaded area: A. -0.22 B. -0.41 C. -0.29 D. -0.33 t

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Problem 1324

The mean of the math scores is found by adding the values in the data set and dividing by 6 . $\frac{88+89+93+97+97+100}{6}=\frac{564}{6}=94$
The mean of the math scores is 94 . The mean of the history scores is found by adding the values in the data set and dividing by 5 . $\frac{70+81+89+95+100}{5}=\frac{435}{5}=87$
The mean of the history scores is 87 .
Next, determine the absolute deviation of each score to find the mean absplute deviation. Enter your answers in the boxes based on the sets of data. Round your answers to the nearest whole number.
The mean absolute deviation of the math scores is $\square$ .
The mean absolute deviation of the history scores is $\square$

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Problem 1325

Jayden's report card shows the points he received in each subject for the autumn term. \begin{tabular}{l|l} \hline Subject & Total points \\ \hline English & 95 \\ \hline History & 91 \\ \hline Math & 97 \\ \hline Science & 96 \\ \hline Spanish & 91 \end{tabular}
What is the mean absolute deviation of the data set? Enter your answer in the box. Round to the nearest tenth, if necessary. $\square$ points

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Problem 1326

10.77 An experiment is conducted to determine if the use of a special chemical additive with a standard fertilizer accelerates plant growth. Ten locations are included in the study. At each location, two plants growing in close proximity are treated. One is given the standard fertilizer, the other the standard fertilizer with the chemical additive. Plant growth after four weeks is measured in centimeters. Do the following data substantiate the claim that use of the chemical additive accelerates plant growth? State the assumptions that you make and devise an appropriate test of the hypothesis. Take $\alpha=.05$ . \begin{tabular}{l|cccccccccc} \hline & \multicolumn{8}{|c}{ Location } \\ \cline { 2 - 10 } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \begin{tabular}{c} Without \\ additive \\ \begin{tabular}{c} With \\ additive \end{tabular} \end{tabular} 20 & 23 & 17 & 22 & 19 & 32 & 25 & 18 & 21 & 19 \\ \hline \end{tabular}

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Problem 1327

2. The data show the relationship between a student's grade on homework for the semester (x) and their grade on evams (y) a. Sketch a scatter plot for the datia. \begin{tabular}{|c|c|} \hline Homework & Bams \\ \hline ( 83.4 & 73.7 \\ \hline - 43.2 & 53.2 \\ \hline - 1000 & 87.0 \\ \hline - 17.5 & 440 \\ \hline ( 98.4 & 64.3 \\ \hline * 62.1 & 81.0 \\ \hline 198.4 & 80.0 \\ \hline i 85.0 & 67.3 \\ \hline 60.0 & 85.5 \\ \hline ( 97.5 & 83.0 \\ \hline - 74.6 & 57.7 \\ \hline 128.0 & 78.5 \\ \hline 98.0 & 91.8 \\ \hline ( 93.4 & 95.0 \\ \hline ( 92.1 & 90.8 \\ \hline 78.8 & 83.8 \\ \hline - 61.3 & 75.0 \\ \hline \end{tabular} \begin{tabular}{|r|r|} \hline Homework & Exams \\ \hline 37.1 & 52.5 \\ \hline 97.1 & 83.3 \\ \hline 97.5 & 91.3 \\ \hline 62.1 & 77.3 \\ \hline 100.0 & 94.3 \\ \hline 87.1 & 89.2 \\ \hline 99.3 & 95.7 \\ \hline 96.3 & 95.0 \\ \hline 80.1 & 52.0 \\ \hline 98.8 & 92.0 \\ \hline 68.8 & 76.0 \\ \hline 86.8 & 91.0 \\ \hline $R 85.9$ & 81.7 \\ \hline 79.6 & 69.0 \\ \hline 100.0 & 80.5 \\ \hline 78.6 & 79.0 \\ \hline 197.5 & 90.8 \\ \hline \end{tabular} b. Find the correlation coefficient. c. Use the scatter plot and the correlation coefficient to determine if there appear to be a relationship between the variables. If so, interpret that relationship.

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Problem 1328

Use the following scenario to answer Question \#2-5: Researchers randomly assigned newly laid python eggs to one of three water temperatures: hot, neutral, and cold. Hot duplicates the extra warmth provided by the mother python and cold duplicates the absence of the mother. The results are below. \begin{tabular}{|c|c|c|c|c|} \hline & Cold & Neutral & Hot & Total \\ \hline Hatched & 16 & 38 & 75 & 129 \\ \hline Did not hatch & 11 & 18 & 29 & 58 \\ \hline Total & 27 & 56 & 104 & 187 \\ \hline \end{tabular}
5. Are the events "did not hatch" and "neutral water" independent? Justify your answer by showing work and completing the justification below.
The events "did not hatch" and neutral water" $\square$ (are/ are not) independent because $\square$ (probability) $\square$ (does/ does not) equal $\square$ (probability).
Enter all probabilities rounded to two decimal places.

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Problem 1329

Attempt \#1: [evaluated] November 19, 2024 at 3:35 AM UTC A molecular-level representation of a mixture of two gases (C and D) is shown below. The total pressure in the container is $\mathbf{1 3 5} \mathbf{~ k P a .}$
What is the mole fraction of gas C? 54 What is the mole fraction of gas D? . 46 What is the partial pressure of gas C? $73.6 \quad \mathrm{kPa}$ \begin{tabular}{ll|l|l} What is the partial pressure of gas D? & 61.4 & kPa \end{tabular}

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Problem 1330

For the following probability distribution of number of left handed (LH) students in a class of size eight, when $p=$ 0.04 , the probability that class has at least one LH students, is: \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline $\mathrm{P}(\mathrm{X}=\mathrm{x})$ & p & 3 p & 5 p & 6 p & 4 p & 2 p & 2 p & p & p \\ \hline \end{tabular} a) 0.28 b) 0.64 c) 0.36 d) 0.96

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Problem 1331

A coin is tossed and a die is rolled. Find the probability of getting a head and a number greater than 2.

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Problem 1332

The numbered disks shown are placed in a box and one disk is selected at random. Find the probability of selecting an even number, given that a green disk is selected.
Find the probability of selecting an even number, given that a green disk is selected. $\square$ (Type an integer or a simplified fraction.)

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Problem 1333

Determine the outliers in the following data set. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline 79 & 60 & 76 & 94 & 93 & 92 & 99 & 39 \\ \hline \end{tabular}
Data value outside the range $\square$ $\square$

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Problem 1334

Your answer is partially correct.
Is a t-Distribution Appropriate? A sample with size $n=12$ has $\bar{x}=7.6$ and $s=1.6$ . The dotplot for this sample is given below.
Indicate whether or not it is appropriate to use the $t$ -distribution.
Yes $\leqslant$
If it is appropriate, give the degrees of freedom for the $t$ -distribution and give the estimated standard error. If it is not appropriate, enter -1 in both of the answer fields below.
Enter the exact answer for the degrees of freedom and round your answer for the standard error to two decimal places. $d f=$ i $\square$ standard error = $\square$ eTextbook and Media Hint Attempts: 1 of 5 used Submit Answer

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Problem 1335

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Current Attempt in Progress Is a t-Distribution Appropriate? A sample with size $n=75$ has $\bar{x}=18.92$ , and $s=10.1$ . The dotplot for this sample is given below.
Indicate whether or not it is appropriate to use the $t$ -distribution. $\square$ If it is appropriate, give the degrees of freedom for the $t$ -distribution and give the estimated standard error. If it is not appropriate, enter -1 in both of the answer fields below.
Enter the exact answer for the degrees of freedom and round your answer for the standard error to two decimal places. $d f=$ $\square$ i standard error = $\square$ i eTextbook and Media Save for Later Attempts: 0 of 5 used Submit Answer

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Problem 1336

A survey found that people keep their televisions an average of 5.8 years. The standard deviation is 0.78 years. Find the percentage of people that owned theil TV for the given amount of time. Assume the random variable is normally distributed. Refer to the table of values ( Area Under the Standard Normal Distribution) as needed.
Part: $0 / 3$ $\square$
Part 1 of 3 (a) More than 8.14 years
The percentage of people who owned his or her TV for more than 8.14 years is $\square$ \%.

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Problem 1337

A study showed that $\mathbf{8 \%}$ of American teenagers have tattoos. $\mathbf{2 8}$ teenagers are randomly selected. What is the probability that exactly $\mathbf{2}$ will have a tattoo? (Round the answer up to 4 decimal places) $\square$ Done

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Problem 1338

How Many Birds Do Domestic Cats Kill? "Domestic cats kill many more wild birds in the United States than scientists thought," states a recent article. ${ }^{1}$ Researchers used a sample of $n=140$ households in the US with cats to estimate that $35 \%$ of household cats in the US hunt outdoors. A separate study ${ }^{2}$ used KittyCams to record all activity of $n=55$ domestic cats that hunt outdoors. The video footage showed that the mean number of kills per week for these cats was 2.4 with a standard deviation of 1.51 . Find a $99 \%$ confidence interval for the mean number of kills per week by US household cats that hunt outdoors.
Round your answers to three decimal places.
The 99 confidence interval is i $\square$ to i $\square$ ${ }^{1}$ Milius, S., "Cats kill more than one billion birds each year," Science News, 183(4), February 23, 2013, revised March 8, 2014. Data approximated from information give in the article. ${ }^{2}$ Loyd KAT, et al., "Quantifying free-roaming domestic cat predation using animal-borne video cameras," Biological Conservation, 160(2013), 183-189.

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Problem 1339

A fair coin is tossed six times. Find the mean, variance and standard deviations of number of heads obtained. (Round the answers upto 3 decimal places)
Click here to enter an

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Problem 1340

For a non-standard normal distribution with $\boldsymbol{\mu}=\mathbf{3 0 0}$ and $\boldsymbol{\sigma}=\mathbf{6 0}$ , find the probability that $X$ assumes values less than 211. (Round answer up to $\mathbf{4}$ decimal places.)
Table for required value of $z$ Probability = $\square$ Done

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Problem 1341

More pitching: A baseball pitcher threw 3935 pitches during part of a recent season. Of these, 1947 were thrown with no strikes on the batter, 996 were thrown with one strike, and 992 were thrown with two strikes.
Part 1 of 2 (a) What is the probability that a baseball pitch is thrown with no strikes? Round your answer to four decimal places. $P($ A baseball pitch thrown with no strikes $)=0.4948$
Part: $1 / 2$
Part 2 of 2 (b) What is the probability that a baseball pitch is thrown with fewer than two strikes? Round your answer to four decimal places. $P(A$ baseball pitch thrown with fewer than two strikes $)=$ $\square$ Skip Part Chack

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Problem 1342

A pair of dice is rolled. What is the probability of getting a sum of $11 ?$
What is the probability of getting a sum of $11 ?$ $\square$ (Simplify your answer. Type a fraction.)

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Problem 1343

The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is $\frac{1}{6}$ . Use this information to answer the questions below. (A) What is the probability that the state will be hit by a major tornado two years in a row? 0.02778 (Simplify your answer. Round to five decimal places as needed.) (B) What is the probability that the state will be hit by a major tornado in three consecutive years? (Simplity your answer. Round to five decimal places as needed.)

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Problem 1344

\begin{problem} In a survey, 46,139 women were asked how many children they had. The results were as follows:
\begin{center} \begin{tabular}{|c|r|} \hline \textbf{Number of Children} & \textbf{Number of Women} \\ \hline 0 & 12,516 \\ 1 & 7,406 \\ 2 & 11,285 \\ 3 & 7,106 \\ 4 & 3,793 \\ 5 & 1,810 \\ 6 & 920 \\ 7 & 523 \\ 8 or more & 780 \\ \hline \textbf{Total} & 46,139 \\ \hline \end{tabular} \end{center}
What is the probability that a sampled woman has three children? Round your answer to four decimals.
The probability that a sampled woman has three children is $\square$ . \end{problem}

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Problem 1345

\text{The probability that a smoking-related death was the result of either chronic obstructive pulmonary disease or lung cancer is } \square \text{ - (Round the answer to four decimal places.)} \\
\text{The Centers for Disease Control and Prevention reported that there were 443,000 smoking-related deaths in the United States in a recent year. The numbers of deaths caused by various illnesses attributed to smoking are as follows:} \\
\begin{tabular}{lr} \hline \text{Illness} & \text{Number} \\ \hline \text{Lung cancer} & 128,900 \\ \text{Ischemic heart disease} & 126,000 \\ \text{Chronic obstructive pulmonary disease} & 92,900 \\ \text{Other} & 95,200 \\ \hline \text{Total} & 443,000 \\ \end{tabular} \\

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Problem 1346

According to one source, $52 \%$ of plane crashes are due at least in part to pilot error. Suppose that in a random sample of 100 separate airplane accidents, 67 of them were due at least in part to pilot error. Complete parts (a) and (b) below. $\begin{array}{l} H_{0}: p=0.52 \\ H_{a}: p \neq 0.52 \end{array}$ (Type integers or decimals. Do not round.) Determine the test statistic. $z=3.00$ (Round to two decimal places as needed.) Determine the p -value. $p \text {-value }=0.002$ (Round to three decimal places as needed.) What is the proper conclusion? Reject $\mathrm{H}_{0}$ . There is sufficient evidence to conclude that the population proportion is not 0.52 . (Type an integer or a decimal. Do not round.) b. Determine the correct interpretaction of the rejection decision.
The percentage of plane crashes due to pilot error $\square$ significantly different from $52 \%$ because the p-value is $\square$ the significance level.

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Problem 1347

Pepcid A study of 74 patients with ulcers was conducted in which they were prescribed 40 mg of Pepcid ${ }^{\mathrm{TM}}$ . After 8 weeks, 58 reported ulcer healing. (a) Obtain a point estimate for the proportion of patients with ulcers receiving Pepcid who will report ulcer healing. (b) Verify that the requirements for constructing a confidence interval about $p$ are satisfied. (c) Construct a $99 \%$ confidence interval for the proportion of patients with ulcers receiving Pepcid who will report ulcer healing. (d) Interpret the confidence interval.

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Problem 1348

A 2018 poll of 2236 randomly selected U.S. adults found that $36.58 \%$ planned to watch at least a "fair amount" of a particular sporting event in 2018. In 2014, 46\% of U.S. adults reported planning to watch at least a "fair amount." a. Does this sample give evidence that the proportion of U.S. adults who planned to watch the 2018 sporting event was less than the proportion who planned to do so in 2014? Use a 0.05 significance level. b. After conducting the hypothesis test, a further question one might ask is what proportion of all U.S. adults planned to watch at least a "fair amount" of the sporting event in 2018. Use the sample data to construct a $90 \%$ confidence interval for the population proportion. How does your confidence interval support your hypothesis test conclusion? a. State the null and alternative hypotheses. Let p be the proportion of U.S. adults that planned to watch at least a "fair amount" of the sporting event. $\begin{array}{l} H_{0}: p=0.46 \\ H_{a}: p<0.46 \end{array}$ (Type integers or decimals. Do not round.) Compute the z-test statistic. $z=-8.97$ (Round to two decimal places as needed.) Compute the p-value. $\mathrm{p} \text {-value }=$ $\square$ (Round to three decimal places as needed.)

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Problem 1349

Suppose that $9 \%$ of a certain batch of calculators have a defective case, and that $16 \%$ have defective batteries. Also, $2 \%$ have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.
The probability that the calculator has a good case and good batteries is $\square$ (Type an integer or a decimal.)

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Problem 1350

The Midtown Bank has found that most customers at the tellers' windows either cash a check or make a deposit. The given table indicates the transactions for one teller for one day. Letting C represent "cashing a check" and D represent "making a deposit," express $\mathrm{P}(\mathrm{C\mid D})$ in words and find its value. \begin{tabular}{|c|c|c|c|} \hline Transaction & Cash Check & No Check & Totals \\ \hline Make Deposit & 55 & 18 & 73 \\ No Deposit & 24 & 12 & 36 \\ Totals & 79 & 30 & 109 \\ \hline \end{tabular}
Express $\mathrm{P}(\mathrm{C\mid D})$ in words. Choose the correct answer below. A. The probability of a customer making a deposit, given that the customer did not cash a check B. The probability of a customer not cashing a check, given that the customer made a deposit C. The probability of a customer not making a deposit, given that the customer cashed a check D. The probability of a customer cashing a check, given that the customer did not make a deposit $\mathrm{P}(\mathrm{C\mid D})=\square$ (Tvpe an inteaer or decimal rounded to two decimal places as needed.)

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Problem 1351

According to an online source, the mean time spent on smartphones daily by adults in a country is 2.55 hours. Assume that this is correct and assume the standard deviation is 1.2 hours. Complete parts (a) and (b) below. a. Suppose 150 adults in the country are randomly surveyed and asked how long they spend on their smartphones daily. The mean of the sample is recorded. Then we repeat this process, taking 1000 surveys of 150 adults in the country. What will be the shape of the distribution of these sample means?
The distribution will be $\square$ because the values will be $\square$

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Problem 1352

Match each of the normal curves to its mean $\mu$ and standard deviation $\sigma$ .
Part 1 of 2 (a)
Normal curve with $\square$ (Choose one) $\begin{array}{ll} \mu=4, & \sigma=1 \\ \mu=4, & \sigma=3 \end{array}$

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Problem 1353

3. Consider the following summary for Gender and Preferred place to study \begin{tabular}{c|c|c|c|c} & Library & Home & Cafeteria & \\ \hline Male & 55 & 40 & 35 & \\ \hline Female & 100 & 50 & 20 & \\ \hline & & & & 300 \end{tabular} (a) If we select a student at random, what is the probability that the student is male and prefer library (b) If a student prefers to study at home, what is the probability that the student is Male (c) If $\mathrm{M}=\{$ student is male $\}, \mathrm{H}=\{$ student prefers to study at Home $\}$ , then are M and H independent? Explain

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Problem 1354

Consider the dataset: $12,18,18,19,20,22,23,23,23,23,25,30$
Find the lower quartile $\left(Q_{1}\right)$ . $3.25 \times 18.5$
Find the upper quartile $\left(Q_{3}\right)$ . $60.1 \times 23$
Find the interquartile range (IQR).

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Problem 1355

Selemtthe aorfect fiequency fistogrí and polyg

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Problem 1356

5. In der Warenausgabe einer Fabrik, die SIM-Karten fertigt, werden Kontrollmessungen durchgeführt. SIM-Karten, die nicht vollständig funktionstüchtig sind, werden zu $95 \%$ als solche erkannt, allerdings kommt es auch in $2 \%$ der Fälle vor, dass wegen eines Messfehlers brauchbare SIM-Karten irrtümlich als fehlerhaft angezeigt werden. Erfahrungsgemäß sind $90 \%$ der produzierten SIM-Karten in Ordnung. a) (1) Eine zufällig herausgegriffene SIM-Karte wird als fehlerhaft angezeigt.
Mit welcher Wahrscheinlichkeit ist sie tatsächlich nicht zu gebrauchen? (2) Eine zufällig herausgegriffene SIM-Karte wird als funktionstüchtig angezeigt.
Mit welcher Wahrscheinlichkeit ist sie tatsächlich zu gebrauchen? b) Wie verringert sich die Fehlerquote, wenn die Kontrollmessung zweifach durchgeführt wird?

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Problem 1357

6
A jar contains 27 balls. Twenty of the balls have a star on them and 10 of the balls have an elephant printed on them. Every ball has at least one of these symbols on it. a Draw a Venn diagram to illustrate this. $b$ If one ball is withdrawn at random, what is the probability of choosing: i a ball with an elephant printed on it? ii a ball with a star and an elephant printed on it? iii a ball with an elephant printed once but without a star?

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Problem 1358

For any set of data, what must be done to the data before percentiles can be determined?
Choose the correct answer below. A. The data must be summed. B. The data must be ranked. C. The quartiles of the data set must be found. D. The frequency of each piece of data must be found.

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Problem 1359

Give the names of two other statistics that have the same value as the 50 th percentile.
Choose the correct answer below. A. First quartile; midrange B. Third quartile; mode C. Second quartile; median D. Second quartile; mean

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Problem 1360

Suppose a student got the following grades on the exams in their mathematics course. Complete parts a) and b) below. $74,67,54,65,81,62,82$ a) Calculate the mean, median, mode, and midrange of the student's exam grades in their mathematics course.
The mean is 69.3 . (Round to the nearest tenth as needed.) The median is $\square$

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Problem 1361

The salaries of 10 employees of a small company are listed. Complete parts (a) through (f) below. \begin{tabular}{cc} $\$ 32000$ & $\$ 86000$ \\ 28000 & 27000 \\ 25000 & 26000 \\ 31000 & 70000 \\ 31000 & 30000 \end{tabular} b) Determine the median.
The median salary is $\$ 30500$ (Simplify your answer.) c) Determine the mode(s). Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The mode salary/salaries is/are \$ 31000 . (Use a comma to separate answers, but do not use commas in any individual numbers.) B. There is no mode. d) Determine the midrange.
The midrange of the data set is $\$$ $\square$ (Simplify your answer.)

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Problem 1362

The salaries of 10 employees of a small company are listed. Complete parts (a) through (f) below. \begin{tabular}{rr} $\$ 32000$ & $\$ 86000$ \\ 28000 & 27000 \\ 25000 & 26000 \\ 31000 & 70000 \\ 31000 & 30000 \end{tabular} c) Determine the mode(s). Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The mode salary/salaries is/are $\$ 31000$ . (Use a comma to separate answers, but do not use commas in any individual numbers.) B. There is no mode. d) Determine the midrange.
The midrange of the data set is $\$$ [ $\square$ (Simplify your answer.)

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Problem 1363

Determine the mean, median, mode and midrange of the set of data. $51,44,31,42,52,39,55$ $\qquad$
The mean is $\square$ (Round to the nearest tenth as needed.)

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Problem 1364

The table below defines the precedence relationships and element times for new assembled product. \begin{tabular}{rcccccccccc} Work element & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ Time $(\min )$ & 0.5 & 0.3 & 0.8 & 0.2 & 0.1 & 0.6 & 0.4 & 0.5 & 0.3 & 0.6 \\ Preceding & - & 1 & 1 & 2 & 2 & 3 & 4,5 & 3,5 & 7,8 & 6,9 \end{tabular} (a) Construct the precedence diagram.
Draw on a paper (b) If the ideal cycle time is 1.1 min and the repositioning time is 0.1 min , what the theoretical minimum number of workstations required to minimize the balance delay under the assumption that there will be one worker per station?
Total work content time in minutes $T_{w c}=4.3$ Theoretical minimum number of workstations $w^{*}=3.9$ (c) Using Killbridge \& Wester method, assign work elements to stations.
Element 1 Element 2 $\square$ Element 3 $\square$ Element 4 $\square$ Element 5 $\square$

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Problem 1365

STAT 2361 Quir W 3 A
Name $\qquad$ Number. . $\operatorname{Sec} 5$ $\qquad$
1. A methad of 3 sagning probabilities which assumes that the experimental outcomes are equally Likely is referred to ss the $\qquad$
2. If $P(A)=0.6, \mathrm{P}(\mathrm{B})=0.35, \mathrm{~A}$ and B are independent, then $P(A \cup B)=$ $\qquad$
3. If $P(A \cap B) \neq P(A), P(B)$ , then $A$ and $B$ are called $\qquad$
4. If the two events A and B are murually exclusive then $P(A \cap B)=$ $\qquad$
5. The counting rule that is used for counting the number of experimental outcomes when $n$ objects re selected from a set of N objects where order of selection is important is called. $\qquad$
6. Any process that generates well-defined outcomes is $\qquad$
7. The probability of passing an exam is 0.68 . What is the probability of not passing the exam? \&. In how many ways can you select four students to interview from a list of ten students?
A survey of a college seniors resulted in the following crosstabulation regarding their GPA and whether or not they plan to go to graduate school. \begin{tabular}{|l|c|c|c|c|} \hline \multicolumn{5}{c|}{ Undergraduate GPA } \\ \hline Graduate School & $70-74$ & $75-79$ & 80 or more & Total \\ \hline Yes & 115 & 68 & 15 & \\ \hline No & 70 & 50 & 22 & \\ \hline Total & & & & \\ \hline \end{tabular}
9. If a student is planning to go graduate school, what is the probability that he has a GPA of 70 - 74
10. What is the probability that a student is planning to go to graduate school or his GPA is 75 or more?
11. Are the variables Graduate School and Undergraduate GPA independent? Support your answer

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Problem 1366

Name $\qquad$ Number. $\qquad$
1. A methad of ansigning probabilities which thely is referred to ss the $\qquad$
2. If $\mathrm{P}(\mathrm{A})=0.6, \mathrm{P}(\mathrm{B})=0.35$ , A and B are independent, then $P(A \cup B)=$ $\qquad$
3. If $P(A \cap B) \neq P(A), P(B)$ , then $A$ and $B$ are called $\qquad$
Wrive then $P(A \cap B)=$ $\qquad$

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Problem 1367

A survey of a college seniors resulted in the following crosstabulation regarding their GPA and whether or not they plan to go to graduate school. \begin{tabular}{|l|c|c|c|c|} \hline \multicolumn{5}{|c|}{ Undergraduate GPA } \\ \hline Graduate School & $70-74$ & $75-79$ & 80 or more & Total \\ \hline Yes & 115 & 78 & 25 & \\ \hline No & 80 & 60 & 22 & \\ \hline Total & & & & \\ \hline \end{tabular}
9. If a student is planning to go graduate school, what is the probability that he has a GPA of 70 - 74
10. What is the probability that a student is planning to go to graduate school or his GPA is 75 or more?
11. Are the variables Graduate School and Undergraduate GPA independent? Support your answer

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Problem 1368

Consider the following information \begin{tabular}{|llll|} \hline ITEM & \multicolumn{2}{l|}{ SALES(Units) } & SALES \\ \hline A & 9000 & $\$ 54000$ & VARIABLE COST \\ \hline B & 12000 & 60000 & 5.95 \\ \hline C & 15000 & 60000 & 3.75 \\ \hline D & 25000 & 75000 & 3.50 \\ \hline \end{tabular}
Costs of the period are as follows: salaries $\$ 45000$ , rent $\$ 10000$ , depreciation $\$ 8000$ , insurance $\$ 5000$ , periodic maintenance $\$ 4000$ , interest expense $\$ 3000$ , utilities (fixed) $\$ 4000$ , property tax $\$ 3000$ , and advertising $\$ 9000$ (set at the beginning of the year What is the breakeven point for all items? How many units of item $A, B, C, \& D$ are needed to breakeven?

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Problem 1369

3 The table shows the golf scores of ten players over ten rounds. a) Use the information to complete the table. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & & \multicolumn{10}{|c|}{Round} & \multicolumn{4}{|c|}{Calculations} \\ \hline & & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & Mean & Median & Mode & Range \\ \hline & & 66 & 67 & 70 & 72 & 72 & 72 & 72 & 73 & 74 & 77 & & & & \\ \hline G & A & 63 & 65 & 68 & 70 & 72 & 72 & 73 & 73 & 73 & 74 & & & & \\ \hline & B & 65 & 65 & 69 & 70 & 70 & 70 & 72 & 72 & 74 & 75 & & & & \\ \hline & c & 66 & 66 & 70 & 70 & 70 & 70 & 71 & 71 & 72 & 74 & & & & \\ \hline & E & 67 & 67 & 67 & 68 & 73 & 75 & 75 & 76 & 76 & 80 & & & & \\ \hline & F & 68 & 68 & 70 & 70 & 70 & 70 & 71 & 71 & 72 & 75 & & & & \\ \hline \end{tabular} b) Use the values calculated to put the top three golfers in order, from best to worst. Remember that a low score is good in golf.

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Problem 1370

LE FONTI STATISTICHE HANNO TUTTE LE 5/30 SEGUENTI FUNZIONI, TRANNE UNA, QUALE:
1 Ridurre l'accesso ai contenuti multimediali 2 Produrre informazioni di qualità 3 Diffondere informazioni di qualità
4 Descrivere la condizione economica di un Paese

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Problem 1371

Which of the following pairs of events are independent? Select all correct answers.
Select all that apply:
You roll a die twice. Event $A$ is getting an even number on the first roll. Event $B$ is getting a 4 on the second roll.
You roll a die twice. Event $A$ is getting a 6 on the first roll. Event $B$ is getting a total of more than 7 .
You flip a coin and roll a die. Event $A$ is getting heads on the coin. Event $B$ is getting a 3 or more on the die.
You roll a die and flip a coin. Event $A$ is getting heads with the coin and getting 5 on the die. Event $B$ is getting 3 or more on the die.

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Problem 1372

Let's go back to the television question: According to the Buckert and Howell research firm the time spent by kids watching television per year can be modelled by a normal distribution with a mean of 1200 hours and a standard deviation of 180 hours.
What percent of children watch between 1000 and 1500 hours of television? Shade the distribution belon
1. The average reading score for BSHS students is 580 with a standard deviation of 50 points. What percent of students are: a) Between 500 and 600? d) More than 680 ? b) Between 650 and 750 ? c) Less than 450 ?

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Problem 1373

Find the mean (expected value) of the probability distribution. \begin{tabular}{|c|c|} \hline $x$ & $P(x)$ \\ \hline 75 & .12 \\ \hline 80 & .23 \\ \hline 85 & .42 \\ \hline 90 & .11 \\ \hline 95 & .12 \\ \hline \end{tabular} 85 83.2 87.1 84.4

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Problem 1374

4. En el gráfico adjunto se representa el volumen de petróleo existente en un estanque de 26 $\mathrm{m}^{3}$ , inicialmente vacio.
Según el enunciado y el gráfico, el estanque estará lleno: A) al cabo de 26 horas B) al cabo de 24 horas C) al cabo de 20 horas D) al cabo de 18 horas

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Problem 1375

A hotel manager assumes that $18 \%$ of the hotel rooms are booked. If the manager is correct, what is the probability that the proportion of rooms booked in a sample of 480 rooms would be less than $15 \%$ ? Round your answer to four decimal places.
Answer Tables Keypad
How to enter your answer (opens in new window) Keyboard Shortcuts

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Problem 1376

Question 3 20 pts
The table below shows the energy of a 10 kg ball as a function of velocity. How much energy will the ball have at $10 \mathrm{~m} / \mathrm{s}$ ? (Type the number, do not include units in your answer) \begin{tabular}{|c|c|} \hline Velocity $(\mathrm{m} / \mathrm{s})$ & Energy (Joules) \\ \hline 0 & 0 \\ \hline 2 & 12 \\ \hline 3 & 27 \\ \hline 6 & 108 \\ \hline 10 & $?$ \\ \hline \end{tabular} $\square$
Question 4

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Problem 1377

$v \sqrt{44(0.2)(0.8)}$
10. Suppose the probability of a major earthquake on a given day is 1 out of 15,000 . Use the Poisson distribution to approximate the probability that there will be at least one major earthquake in the next 2000 days. poissun 1

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Problem 1378

\begin{tabular}{|c|c|} \hline Price (x) & Profit (y) \\ \hline 11.00 & 1944 \\ \hline 14.25 & 3077 \\ \hline 19.50 & 4455 \\ \hline 27.50 & 5505 \\ \hline 32.25 & 5179 \\ \hline 35.50 & 4248 \\ \hline \end{tabular}
Copy Values for Calculator
Open Statistics Calculator
Attempt 1 out of 3 ession Equation: $\square$

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Problem 1379

The Venn diagram below represents the number of freshmen enrolled in Math, Biology, and Psychology. How many freshmen are enrolled in both Biology and Psychology? A. 7 B. 3 C. 4 D. 5

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Problem 1380

A large bag of marbles contains equal amounts of each of 10 colors. Milo selects 1 marble, looks at it, puts it back, and then selects another. Find the probability of Milo selecting the same color both times. A. 0.01 B. 0.2 C. 0.5 D. 0.1

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Problem 1381

Weekly Hours and Grade Average \begin{tabular}{|c|c|} \hline Hours Worked & Overall Grade Average \\ \hline 15 & 86 \\ \hline 30 & 72 \\ \hline 27 & 77 \\ \hline 25 & 83 \\ \hline 16 & 87 \\ \hline 20 & 90 \\ \hline 12 & 94 \\ \hline \end{tabular}
Based on the correlation coefficient for the data, what type of linear association exists between hours worked and overall grade average? (A) Strong negative (B) Weak nenative

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Problem 1382

The length of human pregnancies is approximately normal with mean $\mu=266$ days and standard deviation $\sigma=16$ days. Complete parts (a) through (f).
Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected pregnancy lasts less than 258 days?
The probability that a randomly selected pregnancy lasts less than 258 days is approximately . $\square$ (Round to four decimal places as needed.)

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Problem 1383

The army of a certain country fired 1500 missiles. The probability that a fired missile will hit a critical infrastructure target is 2.9 per mille. Determine the (exact!) probability that at least two missiles will hit critical infrastructure targets. Please provide the result rounded to at least FOUR decimal digits.
Answer: $\square$ $\qquad$
Continuing the calculations from the previous problem please approximate the calculated probability using the Poisson theorem. Provide the approximation result rounded to FOUR decimal places.

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Problem 1384

The Venn diagram shows how many of the employees at a Spanish, Chinese, and Russian. How many of the employees do not speak Chinese? A. 22 B. 29 C. 19 D. 18

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Problem 1385

In a single fight in his category, a certain boxer wins with probability 0.31 , loses with probability 0.37 , and draws the remaining fights. Calculate the probability that in 12 fights, he will have 3 wins and 2 draws. Provide the result rounded to THREE decimal places.

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Problem 1386

5 The distance traveled by the red car is represented by the graph below. Click Here for Help Video.
The distance traveled by the blue car was monitored by a table. Click Here for Help Video. \begin{tabular}{|l|l|l|} \hline Number of Hours & Miles Traveled \\ \hline 6 & 324 \\ \hline 7 & 378 \\ \hline 8 & 432 \\ \hline \end{tabular}
The speed of the red car is $\square$ miles per hour.
The speed of the blue car is $\square$ miles per hour.
The $\square$ car is faster.

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Problem 1387

Suds \& Cuts is a local pet grooming shop owned by Collin Bark. Collin has prepared the following standard cost card for each dog bath given: \begin{tabular}{|lccc|} \hline & Standard Quantity & Standard Rate & Standard Unit Cost \\ \hline Shampoo & 2 oz. & $\$ 0.10$ per oz. & $\$ 0.20$ \\ Water & 20 gal. & $\$ 0.05$ per gal. & 1.00 \\ Direct labor & 0.75 hr. & $\$ 9.00$ per hr. & 6.75 \\ \hline \end{tabular}
During the month of July, Collin's employees gave 360 baths. The actual results were 725 ounces of Page 4 shampoo used (cost of \ $116), 6,500 gallons of water used (cost of \$455), and labor costs for 230 hours (cost of$ \ $2,300$ ).
Required:
1. Calculate Suds \& Cuts, direct materials variances for both shampoo and water for the month of July.
2. Calculate Suds \& Cuts, direct labor variances for the month of July.
3. Identify a possible cause of each variance.

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Problem 1388

Suppose $A$ and $B$ are dependent events. If $P(A)=0.3$ and $P(B \mid A)=0.9$ , what is $P(A \cap B)$ ? A. 0.6 B. 0.3 C. 0.9 D. 0.27

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Problem 1389

Which of the following is true if the given tree diagram represents independent events? A. The probability of buying nonfiction is larger than buying fiction. B. The probability of buying fiction versus nonfiction is not the sam regardless of whether or not the person buys a hardcover or paperback. C. The probability of buying a hardcover is less than buying a paperback D. The probability of buying fiction versus nonfiction is the same regardless of whether or not the person buys a hardcover or paperback.

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Problem 1390

Which of the following is the appropriate notation when calculating conditional probabilities? A. $P(E \mid F)=\frac{P(E \cap F)}{P(F)}$ B. $P(E \mid F)=\frac{P(E \cap F)}{P(E)}$ C. $P(E \cap F)=P(E)+P(F)-P(E \cup F)$ D. $P(E \cup F)=P(E)+P(F)-P(E \cap F)$

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Problem 1391

1. (8 marks) Brock University is studying student midterm grades in a particular Canadian geography course. They randomly select 8 students from the course and document their scores from the midterm, which are given below (in percentages): $81,72,79,48,61,68,84,91$
Assuming the population is approximately normal and using a 0.10 significance level, test the claim that the mean test score for the entire class is greater than 70. a) State the null and alternative hypotheses. b) Calculate the test statistic (round it to 3 dechmal places). c) Find the critical value (round it to 3 decimal places). d) Make a decision and write a conclusion based on your answers from parts b) and c).

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Problem 1392

Which of the following is an example of a random event? A. Sherman going to the grocery store every Tuesday B. Holly's planned vacation to the beach this summer C. The number of children that will be born in the United States next year D. The age a person will be 6 years from now

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Problem 1393

Which of the following best describes the type of probability used in the scenario below?
A bag has 6 red marbles, 8 blue marbles, and 4 yellow marbles. The probability of drawing a blue at random is $\frac{4}{9}$ . A. Unpredictable B. Random C. Theoretical D. Empirical

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Problem 1394

Which of the following is an example of the compliment rule being applied to mutally exclusive events? A. The probability of drawing a spade or ace from a deck of cards. B. The probability of not drawing a spade or ace from a deck of cards. C. The probability of rolling a 5 or 9 on a die. D. The probability of not rolling a 5 or 9 on a die.

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Problem 1395

6. Metabolic rate, the rate at which the body consumes energy, is important in studies of weight gain, dieting, and exercise. We have data on lean body mass and resting metabolic rate for 12 women who are subjects in a dieting study. Lean body mass, given in kilograms, is a person's weight leaving out all fat. Metabolic rate is measured in calories burned per 24 hours. The scatterplot shows the relationship between metabolic rate and lean body mass. The correlation is $r=0.88$ a) What would be the value of the correlation if metabolic rate was plotted on the horizontal axis and lean body mass was plotted on the vertical axis. The direction woulo be regat b) What would be the value of the correlation if lean body mass was measured in pounds instead of kilograms? c) Howard claims that the correlation between metabolic rate and lean body mass is $r=0.88 \mathrm{cal} / \mathrm{kg}$ .
Is this correct?

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Problem 1396

8. One of the major attractions in Yellowstone National Park is the Old Faithful geyser. The scatterplot shows the relationship between $x=$ the duration of the previous eruption (in minutes) and $y=$ wait time until the next eruption (in minutes). The equation of the regression line relating these variables is $\hat{y}=13.29 x+33.35$ . b) In one cycle, it took 62 minutes between eruptions, and the duration of the previous eruption was 2 minutes. Calculate the residual for this cycle. c) Interpret the slope of the regression line d) In the context of this problem, interpret the $y$ intercept. e) Does the $y$ intercept have meaning in the context of this problem. Explain. f) Predict the wait time $(\mathrm{min})$ if the duration was 7 min . Show work! g) Is this an interpolated or extrapolated value? Explain.

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Problem 1397

\begin{tabular}{|l|l|l|l|l|l|l} \hline 45 & 15 & 67 & 42 & 45 & 21 & 17 \\ \hline 17 & 67 & 25 & & \\ \hline \end{tabular} reate a stem and leaf plot of this data. (4 points) \begin{tabular}{l|ll} SHEM & LEAF \\ 0 & 77 \\ 1 & 5777 V \\ 2 & 1259 V \\ 3 & 2 & \\ 4 & 2557 V & \\ & & \end{tabular}
That is the range of the data? (4 points) Formula: RANGE = Maxir $\text { ANGE }=47-7=40$ $\max -\min$ . Minimum 2 2
What is the mean of the data? (4 points) For mula: Mean=(sum of all) here are 15 values. Therefore, the mean is 40 $15+29+17+47+32+22+17+7+25+42+45+21+17$
What is the median of these data? ( 3 points) Since we have is data points (an odd number), th is the 8th value. 2 .
Median is: 25 $27=\frac{25+29}{2}$
What is the mode of this dataset? (3 points) The number apps 17 appears three times, mo any other value.
MODE: 17

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Problem 1398

13. Extrapolation: Pick two $x$ values that are outside of your data. One that isn't too far from your first or last point and one that is far away. Write the points you selected here: $\qquad$ -1 and 11 $\qquad$
14. Find the PREDICTED $y$ value for your extrapolated $x$ values. Show work
15. Do the predicted values make sense in the context of your problem? Explain
16. What is the slope of your regression line? $\qquad$ Interpret the slope of your regression line in the context of your experiment.
17. What is the $y$ intercept of your regression line? $\qquad$ Interpret the $y$ intercept in the context of your experiment. Does it make sense? $\square$ \begin{tabular}{|l|l|} \hline $\mathrm{X}:$ \# of m\&ms & Yweight \\ \hline 10 & .019 \\ \hline 9 & .017 \\ \hline 8 & .015 \\ \hline 7 & .013 \\ \hline 6 & .011 \\ \hline 5 & .009 \\ \hline 4 & .007 \\ \hline 3 & .005 \\ \hline 2 & .003 \\ \hline \end{tabular}

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Problem 1399

Using the graph, estimate the death rate for 60 - to 65 -year-olds. Assuming there were about 23.4 million 60 -to 65 -year-olds, how many people in this bracket could be expected to die in a year? U.S. Death Rate by Age (0 to 80 )
The estimated death rate for 60 - to 65 -year-year-olds is 11 deaths per 1000 people. (Round to the nearest whole number as needed.) Assuming that there were about 23.4 million 60 - to 65 -year-year-olds, $\square$ people of this age bracket could be expected to die in a year (Simplify your answer) an example Get more help - clearall

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Problem 1400

What is the ratio of Mesa's supporters to 1). Stothard's supporters? A. $9: 11$ B. 11:20 D. 20:11
11. What is the ratio of voters who prefer Mesa to the total number surveyed? A. 3 to 7 B. 3 to 10 C. 3 to 13 D. 11 to 30

See Solution

1 ...11 12 13 14 15 16 17 ...63

Data & Statistics

Problem 1301

Problem 1302

Problem 1303

Problem 1304

Problem 1305

Problem 1306

Problem 1307

Problem 1308

Problem 1309

Problem 1310

Problem 1311

Problem 1312

Problem 1313

Problem 1314

Problem 1315

Problem 1316

Problem 1317

Problem 1318

arváMetropolis Here's the neighborhood you created and a neighborhood in Metropolis.Metropolis requires a ratio of 7:27: 27:2 market-rate housing to affordable housing units.How does your neighborhood compare to Metropolis's requirement?Metropolis Neighborhood ±\sqrt{ \pm}±​ Share With Class

Problem 1319

Problem 1320

Problem 1321

Problem 1322

QUESTION 10For a standard normal distribution, find the percentage of data that are between 2 standard deviations below the mean and 3 standard deviations above the mean. (Please enjoy my hand-drawn visual hint!) A. 95.49%95.49 \%95.49% B. 99.74\% C. 97.59%97.59 \%97.59% D. 102.15%102.15 \%102.15%

Problem 1323

Find the zzz-score that corresponds to the shaded area: A. -0.22 B. -0.41 C. -0.29 D. -0.33 t

Problem 1324

Problem 1325

Problem 1326

Problem 1327

Problem 1328

Problem 1329

Problem 1330

Problem 1331

A coin is tossed and a die is rolled. Find the probability of getting a head and a number greater than 2.

Problem 1332

Problem 1333

Determine the outliers in the following data set. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline 79 & 60 & 76 & 94 & 93 & 92 & 99 & 39 \\ \hline \end{tabular}Data value outside the range □\square□ □\square□

Problem 1334

Problem 1335

Problem 1336

Problem 1337

A study showed that 8%\mathbf{8 \%}8% of American teenagers have tattoos. 28\mathbf{2 8}28 teenagers are randomly selected. What is the probability that exactly 2\mathbf{2}2 will have a tattoo? (Round the answer up to 4 decimal places) □\square□ Done

Problem 1338

Problem 1339

A fair coin is tossed six times. Find the mean, variance and standard deviations of number of heads obtained. (Round the answers upto 3 decimal places)Click here to enter an

Problem 1340

Problem 1341

Problem 1342

A pair of dice is rolled. What is the probability of getting a sum of 11?11 ?11?What is the probability of getting a sum of 11?11 ?11? □\square□ (Simplify your answer. Type a fraction.)

Problem 1343

Problem 1344

Problem 1345

Problem 1346

Problem 1347

Problem 1348

Problem 1349

Problem 1350

Problem 1351

Problem 1352

Match each of the normal curves to its mean μ\muμ and standard deviation σ\sigmaσ.Part 1 of 2 (a)Normal curve with □\square□ (Choose one) μ=4,σ=1μ=4,σ=3\begin{array}{ll} \mu=4, & \sigma=1 \\ \mu=4, & \sigma=3 \end{array}μ=4,μ=4,​σ=1σ=3​

Problem 1353

Problem 1354

Problem 1355

Selemtthe aorfect fiequency fistogrí and polyg

Problem 1356

Problem 1357

Problem 1358

For any set of data, what must be done to the data before percentiles can be determined?Choose the correct answer below. A. The data must be summed. B. The data must be ranked. C. The quartiles of the data set must be found. D. The frequency of each piece of data must be found.

Problem 1359

Give the names of two other statistics that have the same value as the 50 th percentile.Choose the correct answer below. A. First quartile; midrange B. Third quartile; mode C. Second quartile; median D. Second quartile; mean

Problem 1360

Problem 1361

Problem 1362

Problem 1363

Determine the mean, median, mode and midrange of the set of data. 51,44,31,42,52,39,5551,44,31,42,52,39,5551,44,31,42,52,39,55 \qquadThe mean is □\square□ (Round to the nearest tenth as needed.)

Problem 1364

Problem 1365

Problem 1366

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Metropolis Here's the neighborhood you created and a neighborhood in Metropolis.
Metropolis requires a ratio of $7: 2$ market-rate housing to affordable housing units.
How does your neighborhood compare to Metropolis's requirement?
Metropolis Neighborhood $\sqrt{ \pm}$ Share With Class

QUESTION 10
For a standard normal distribution, find the percentage of data that are between 2 standard deviations below the mean and 3 standard deviations above the mean. (Please enjoy my hand-drawn visual hint!) A. $95.49 \%$ B. 99.74\% C. $97.59 \%$ D. $102.15 \%$

Find the $z$ -score that corresponds to the shaded area: A. -0.22 B. -0.41 C. -0.29 D. -0.33 t

Determine the outliers in the following data set. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline 79 & 60 & 76 & 94 & 93 & 92 & 99 & 39 \\ \hline \end{tabular}
Data value outside the range $\square$ $\square$

A study showed that $\mathbf{8 \%}$ of American teenagers have tattoos. $\mathbf{2 8}$ teenagers are randomly selected. What is the probability that exactly $\mathbf{2}$ will have a tattoo? (Round the answer up to 4 decimal places) $\square$ Done

A fair coin is tossed six times. Find the mean, variance and standard deviations of number of heads obtained. (Round the answers upto 3 decimal places)
Click here to enter an

A pair of dice is rolled. What is the probability of getting a sum of $11 ?$
What is the probability of getting a sum of $11 ?$ $\square$ (Simplify your answer. Type a fraction.)

Match each of the normal curves to its mean $\mu$ and standard deviation $\sigma$ .
Part 1 of 2 (a)
Normal curve with $\square$ (Choose one) $\begin{array}{ll} \mu=4, & \sigma=1 \\ \mu=4, & \sigma=3 \end{array}$

For any set of data, what must be done to the data before percentiles can be determined?
Choose the correct answer below. A. The data must be summed. B. The data must be ranked. C. The quartiles of the data set must be found. D. The frequency of each piece of data must be found.

Give the names of two other statistics that have the same value as the 50 th percentile.
Choose the correct answer below. A. First quartile; midrange B. Third quartile; mode C. Second quartile; median D. Second quartile; mean

Determine the mean, median, mode and midrange of the set of data. $51,44,31,42,52,39,55$ $\qquad$
The mean is $\square$ (Round to the nearest tenth as needed.)

LE FONTI STATISTICHE HANNO TUTTE LE 5/30 SEGUENTI FUNZIONI, TRANNE UNA, QUALE:
1 Ridurre l'accesso ai contenuti multimediali 2 Produrre informazioni di qualità 3 Diffondere informazioni di qualità
4 Descrivere la condizione economica di un Paese

Find the mean (expected value) of the probability distribution. \begin{tabular}{|c|c|} \hline $x$ & $P(x)$ \\ \hline 75 & .12 \\ \hline 80 & .23 \\ \hline 85 & .42 \\ \hline 90 & .11 \\ \hline 95 & .12 \\ \hline \end{tabular} 85 83.2 87.1 84.4

4. En el gráfico adjunto se representa el volumen de petróleo existente en un estanque de 26 $\mathrm{m}^{3}$ , inicialmente vacio.
Según el enunciado y el gráfico, el estanque estará lleno: A) al cabo de 26 horas B) al cabo de 24 horas C) al cabo de 20 horas D) al cabo de 18 horas