Data & Statistics

Problem 3101

Is there a link between liking a TV show and viewer age? (a) Find expected adults who dislike: $20.13$ . (b) Calculate $\chi^{2}$ test statistic: $\chi^{2}=\sum \frac{(observed - expected)^{2}}{expected}$ .

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Problem 3102

Fill in the missing prefix or exponent in the following conversions: $1 \mathrm{nN} = 10 \square \mathrm{N}$ , $1 \square \mathrm{N} = 10^{6} \mathrm{~N}$ , $1 \square \mathrm{N} = 10^{3} \mathrm{~N}$ , $1 \mathrm{c} \mathrm{N} = 10^{\mathrm{N}}$ .

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Problem 3103

For a Standard Normal Variable, find $P(0.58<z<1.74)$ using the provided tables.

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Problem 3104

Given heights of 200 fir trees, create a cumulative frequency table, curve, and estimate median, IQR, mean, SD, and variance.

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Problem 3105

Count the significant digits in these measurements: $-8.0 \times 10^{-1} \mathrm{~kJ/mol}$ , $0.007500 \mathrm{~J}$ , $3.3 \times 10^{-3} \mathrm{~mL}$ , $40400 \mathrm{~kg}$ .

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Problem 3106

Calculate the probability $\mathrm{P}(0.58<\mathrm{z}<1.74)$ for a Standard Normal Random Variable using the provided tables.

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Problem 3107

Practice: Probability and Distributions
1. Determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial. If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied. a. In a Pew Research Center survey of 50 subjects, the ages of the respondents are recorded. b. A basketball player who makes $71 \%$ of his free throws is asked to shoot free throws until he misses. The number of free throws attempted is recorded.

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Problem 3108

webassign.net/web/Student/Assignment-Responses/submit?pos=1\&dep=358210028tags=autosave\#question3170019_1 ur best submission for each question part is used for your score. [-/1.5 Points] DETAILS MY NOTES JMODD8 4.2.004.
Find the mean, median, and mode of the given set of raw data. (If more than one mode exists, separate your answers with commas. If an answer does not exist, enter DNE.)
Need Help? Read It Submit Answer View Previous Question Question 3 of 12 View Next Question Home My Assignments Request Extension

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Problem 3109

Question The graph below shows the graphs of several normal distributions, labeled $A, B$ , and $C$ , on the same axis. Determine which normal distribution has the largest standard deviation.
Select the correct answer below: A B C

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Problem 3110

The histogram shows the starting salaries (rounded to the nearest thousand dollars) for college graduates based on a random sample of recent graduates. Determine whether the following statement is true or false according to the graph.
More college graduates had starting salaries in the $\$ 61,000-\$ 65,000$ range than
Starting Salaries of Recent College in the $\$ 46,000-\$ 50,000$ range.
Choose the correct answer below. A. False, because the bar for 61-65 has the same height as the bar for 46-50. B. False, because the bar for 61-65 is shorter than the bar for 46-50. C. True, because the sum of the heights of the first two bars in the graph is greater than the sum of the heights of the last two bars. D. True, because the bar for 61-65 is taller than the bar for $46-50$ .

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Problem 3111

Suppose currency held outside banks is $\$ 230$ billion, and M1 is $\$ 500$ billion.
Do we know for sure how much checkable deposits equal? Yes, because to calculate checkable deposits, we simply need to add $\$ 230$ billion to $\$ 500$ billion. Yes, because to calculate checkable deposits, we simply need to subtract $\$ 230$ billion from $\$ 500$ billion. No, because to calculate checkable deposits, we also need to know the amount in traveler's checks. No, because to calculate checkable deposits, we also need to know the amount in money market mutual funds.

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Problem 3112

1. We wish to improve yearling weight (YW) in our cow herd. $h^{2}$ for $\mathrm{WW}=.42$ mean of the selected bulls $=1130 \mathrm{lb}$ mean of all bulls $=1097 \mathrm{lb}$ mean of selected cows $=820 \mathrm{lb}$ mean of all cows $=813 \mathrm{lb}$ overall herd mean $=955 \mathrm{lb}$
Calculate: - Selection differential for: o Males - Females - Overall - Response to selection - New herd mean for YW

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Problem 3113

\begin{enumerate} \item An office manager wants to determine if there is a relationship between the number of hours each week employees exercise and the number of sick days that they take each year. The data for the number of hours of exercise and sick days is given as follows: \begin{itemize} \item Hours of exercise: 1.5, 3, 2, 3.5, 2, 3.5, 4, 4.5, 2.5 \item Sick days: 16, 5, 9, 4, 12, 3, 2, 2, 11 \end{itemize} \item Find the correlation coefficient, $r$ . Round values to the nearest thousandth. \item Use the correlation coefficient and the scatter plot to determine if a relationship exists between these variables. Interpret this relationship. \item Can it be determined that this relationship is a cause-and-effect relationship? Why or why not? Are there other reasons this relationship might exist? If so, list some of these reasons. \end{enumerate}

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Problem 3114

The average production cost for major movies is 67 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 11 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of $X$ ? $X \sim \mathrm{~N}($ $\square$ $\square$ ) b. What is the distribution of $\bar{x} ? \bar{x} \sim N($ $\square$ , $\square$ ) c. For a single randomly selected movie, find the probability that this movie's production cost is between 68 and 71 million dollars. $\square$ d. For the group of 11 movies, find the probability that the average production cost is between 68 and 71 million dollars. $\square$ e. For part d), is the assumption of normal necessary? Yes
No

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Problem 3115

The average production cost for major movies is 67 million dollars and the standard deviation is 21 million dollars. Assume the production cost distribution is normal. Suppose that 11 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of $X$ ? $X \sim \mathrm{~N}($ 67 $\square$ 0 s) $\square$ $\checkmark$ , $\square$ , $\square$ 0 b. What is the distribution of $\bar{x} ? \bar{x}-\mathrm{N}($ 67 , c. For a single randomly selected movie, find the probability that this movie's production cost is between 68 and 71 million dollars. $\square$ d. For the group of 11 movies, find the probability that the average production cost is between 68 and 71 million dollars. $\square$ e. For part d), is the assumption of normal necessary? O Yes No

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Problem 3116

Find the standard deviation for the following group of data items. $6,11,11,19$
The standard deviation is approximately $\square$ (Round to two decimal

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Problem 3117

2. We wish to improve weaning weight (WW) in our cow herd. $h^{2}$ for $W W=.38$ herd mean for $W \mathrm{~W}=587 \mathrm{lb}$ \% saved (males) = 1 \% saved (females) = 15 Standard deviation for WW = 23 lb Calculate: - Overall selection intensity - Response to selection - Generation interval for: - Males - Females o Overall - Generation interval - Response per year
Assume we keep our cows for 9 calf crops starting at 2 years of age and we use our bulls for 3 calf crops starting at 2 years of age.

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Problem 3118

Fill in the blank so that the resulting statement is true. The measure of central tendency that is the data item in the middle of ranked, or ordered, data is called the $\qquad$ .
The measure of central tendency that is the data item in the middle of ranked, or ordered, data is called the $\square$

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Problem 3119

Fill in the blank so that the resulting statement is true. A data value that occurs most often in a data set is the measure of central tendency called the $\qquad$ .
A data value that occurs most often in a data set is the measure of central tendency called the $\square$

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Problem 3120

ACCT 210 - Cost and Management Accounting Cash Budgeting Practice Question
Venus Ltd decided to approached the bank for a short term loan for financing a new project. The bank requested a cash budget. The following table represents the financial dat a projected for the coming 6 months based on the previous year's operations, plus the incremental increase in revenue expected based on the new project.
Financial data: \begin{tabular}{|l|l|r|r|r|r|r|r|} \hline & \multicolumn{1}{l|}{ July } & August & September & October & November & December \\ \hline Sales & 100,000 & 125,000 & 200,000 & 230,000 & 280,000 & 325,000 \\ \hline Purchases & 60,000 & 75,000 & 120,000 & 138,000 & 168,000 & 195,000 \\ \hline Expenses & 25,000 & 30,000 & 45,000 & 60,000 & 73,000 & 82,000 \\ \hline 4 & Taxation & 2,500 & 2,500 & 2,500 & 2,500 & 2,500 & 2,500 \\ \hline 15 & Loan Proceeds & 60,000 & & & & & \\ \hline 16 & Project Expenses & 30,000 & 30,000 & & & & \\ \hline 17 & Loan Interest & 500 & 500 & 500 & 500 & 500 & \\ \hline 18 & Loan Principal Payment & 10,000 & 10,000 & 10,000 & 10,000 & 10,000 & 10,000 \\ \hline \end{tabular}
Further information: $2180 \%$ of sales are received in the month of sale $2220 \%$ of sales are collected in the month after the sale. June sales were $\$ 200,000$ . 23 Purchases are paid for one month after the purchase is made. Purchases for June were $\$ 55,000$ . 24 Expenses are paid for in the month in which they are incurred. 25 Estimated monthly taxation charges are paid for at the end of every quarter. 26 Opening cash and cash equivalents balance is $\$ 50,000$ . 27 Loan principal and interest are payable monthly. 28
29 Required: 30 Prepare the Cash Budget for the 6 month period from July to December. 31 32

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Problem 3121

Confidence Intervals and Hypothesis Testing Confidence interval for the population standard deviation
The following data were randomly drawn from an approximately normal population. $48,50,55,62,66,69$ Send data to calculator
Based on these data, find a $90 \%$ confidence interval for the pepulation standard deviation. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult formulas.)
Lower limit: Upper limit:

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Problem 3122

Video: How to Find T-Value from a T-Table? t-table.pdf $\square$ What is the $t$ value with a $95 \%$ confidence interval for the true population mean if the sample size $\mathrm{n}=23$ ? (Please keep three decimal places) t value = $\square$ Submit Question

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Problem 3123

MISSED THIS? Watch KCV 16.5; Read Section 16.5. You can click on the Review link to access the section in your eText. \begin{tabular}{|c|l|l|} \hline Name & \multicolumn{1}{|c|}{ Formula } & \multicolumn{1}{c|}{ $K_{\mathrm{a}_{1}}$ } \\ \hline Acetic & $\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}$ & $1.8 \times 10^{-5}$ \\ \hline Benzoic & $\mathrm{HC}_{7} \mathrm{H}_{5} \mathrm{O}_{2}$ & $6.5 \times 10^{-5}$ \\ \hline Chloric & $\mathrm{HClO}_{3}$ & $>1$ \\ \hline Chlorous & $\mathrm{HClO}_{2}$ & $1.1 \times 10^{-2}$ \\ \hline Hydrochloric & HCl & $>1$ \\ \hline Hydrocyanic & HCN & $4.9 \times 10^{-10}$ \\ \hline Hydrobromic & HBr & $>1$ \\ \hline Hydrofluoric & HF & $6.8 \times 10^{-4}$ \\ \hline Hydroiodic & HI & $>1$ \\ \hline Hypochlorous & $\mathrm{HClO}_{10}$ & $2.9 \times 10^{-8}$ \\ \hline Nitric & $\mathrm{HNO}_{3}$ & $>1$ \\ \hline Nitrous & $\mathrm{HNO}_{2}$ & $4.6 \times 10^{-4}$ \\ \hline Perchloric & $\mathrm{HClO}_{4}$ & $>1$ \\ \hline Phenol & $\mathrm{HC}_{6} \mathrm{H}_{5} \mathrm{O}$ & $1.3 \times 10^{-10}$ \\ \hline \end{tabular}
Part A
Rank the solutions in order of decreasing $\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]$ . Rank solutions from largest to smallest hydronium irin concentration. To rank items as equivalent, overlap them. View Available Hint(s) \begin{tabular}{|l|l|l|l|l|} \hline \multicolumn{5}{|c|}{ Largest concentration } \\ & & & Smallest concentration \\ & & & \\ \hline \end{tabular}
The correct ranking cannot be determined. Submit Previous Answers

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Problem 3124

3) According to a study done by the Pew Research Center, 39\% of adult Americans believe that marriage is now obsolete. Suppose a random sample of 500 adult Americans is asked whether marriage is obsolete. When calculating a probability, draw the graph of the normal curve and shade the appropriate area. a. (3 points) Verify the three conditions for the distribution of the sample proportion to be normally distributed. b. (1 point) Calculate the mean and standard deviation for the distribution of the sample proportion. Page 3 of 4
Name: $\qquad$ Score: $\qquad$ /20 pts c. (1 point) What is the probability that in a random sample of 500 adult Americans less than $38 \%$ believe that marriage is obsolete? d. (1 point) What is the probability that in a random sample of 500 adult Americans between $40 \%$ and $45 \%$ believe that marriage is obsolete? e. (1 point) Would it be unusual for a random sample of 500 adult Americans to result in 210 or more who believe marriage is obsolete? Show your work.

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Problem 3125

Give the degrees of freedom for the chi-square test based on the two-way table. \begin{tabular}{l|llll|l} \hline & D & E & F & G & Total \\ \hline A & 39 & 34 & 43 & 34 & 150 \\ B & 78 & 89 & 70 & 93 & 330 \\ C & 23 & 37 & 27 & 33 & 120 \\ \hline Total & 140 & 160 & 140 & 160 & 600 \\ \hline \end{tabular}
Degrees of freedom $=$ $\square$

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Problem 3126

\begin{tabular}{l|ccc|c} & HS & Some & College & Total \\ \hline Agree & 364 & 164 & 197 & 725 \\ Disagree & 558 & 471 & 787 & 1816 \\ \begin{tabular}{l} Don't \\ know \end{tabular} & 15 & 28 & 30 & 73 \\ \hline Total & 937 & 663 & 1014 & 2614 \\ \hline \end{tabular}
Table 1 Educational level and belief in One True Love
Round your answer for the chi-square statistic to one decimal place, and your answer for the $p$ -value to three decimal places. chi-square statistic $=$ $\square$ $p$ -value $=$ $\square$
Conclusion: $\square$ $H_{0}$ 。

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Problem 3127

\text{A graduate student majoring in linguistics is interested in studying the number of students in her college who are bilingual. Of the 2,489 students at the college, 466 of them are bilingual.}
\text{If the graduate student conducts a study and samples 40 students at the college, use the graph below to determine the probability that 9 or fewer of them are bilingual.} \begin{enumerate} \item \text{Drag and move the blue dot to select the appropriate probability graph area from the four options on the left. (Note - there are four graphs available to choose from. Only select between less than, greater than, and area between graphs.)} \item \text{Use the Central Limit Theorem to find $\hat{p}$ and $q^{\wedge} p$ .} \item \text{Calculate the $z$ -score for $\hat{p}$ and move the slider along the $x$ -axis to the appropriate $z$ -score.} \item \text{The purple area under the curve represents the probability of the event occurring. Interpret the purple area under the curve.} \end{enumerate}
\text{Remember, do not round any values or change fractions to approximated decimals during calculations. Only round the calculated zscore to two places and all other final answers to three decimal places.}
\text{Provide your answer below:} $\begin{array}{l} p=\square \\ \hat{p}=\square \end{array}$ $\sigma_{\hat{p}}=\square$ $z=\square$ $P(X \leq 9)=\square$

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Problem 3128

A coin collector sells III-Vth century Roman sesterces (a silver coin of ancient Rome) via an internet link. Her last week's sales are shown in the spreadsheet table below. (Hint: she sold each sesterce for \27.00) \begin{tabular}{||c|c|c|c|} \hline \mathbf{4} & A & B & C \\ \hline 1 & Week Day & \# sold & Amount (\$) \\ \hline 2 & Solis & 3 & 81 \\ \hline 3 & Lunae & 4 & 108 \\ \hline 4 & Martis & 2 & 54 \\ \hline 5 & Mercurii & 2 & 54 \\ \hline 6 & Iovis & 7 & 189 \\ \hline 7 & Veneris & 4 & 108 \\ \hline 8 & Saturni & 5 & 135 \\ \hline 9 & Total =$ & 27 & 729 \\ \hline & & & \\ \hline \end{tabular}
What formula is needed to calculate the amount, in dollars, she earned on Mercurii (latin for Wednesday)? $=27^{} B 5$ =B5 sum(27:B5) =sum(27:B5) $27^{}$ B5

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Problem 3129

A biologist is studying how water temperature affects feeding habits of a certain species of fish. She collects measurements from several days, collecting data on the water temperature and the quantity of live food the fish has consumed per day (in kg ). The data appear in the table. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|} \hline Temperature $\left({ }^{\circ} \mathrm{C}\right)$ & 15 & 34 & 26 & 15 & 20 & 22 & 35 & 19 & 31 & 25 & 30 \\ \hline Consumption rate (kg/day) & 0.1 & 1.7 & 0.7 & 0.2 & 0.6 & 0.5 & 1.6 & 0.4 & 1.4 & 0.6 & 0.8 \\ \hline \end{tabular}
Identify the independent and dependent variable.

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Problem 3130

1. En la siguiente tabla de se muestran los años de servicio de una muestra de 100 empleados de un banco. Completa la tabla como en los ejemplos de la guía. Luego, calcula la desviación estándar y la varianza. \begin{tabular}{|c|c|} \hline Años & $N^{\circ}$ Empleados \\ \hline $0-2$ & 40 \\ \hline $3-5$ & 25 \\ \hline $6-8$ & 20 \\ \hline $9-11$ & 10 \\ \hline $12-14$ & 5 \\ \hline \end{tabular}

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Problem 3131

Determine la media aritmética, la mediana y la moda de la siguiente serie de úmeros: $5,3,6,5,4,5,2,8,6,5,4,8,3,4,5,4,8,2,5,4$ .
Las puntuaciones obtenidas por un grupo en una prueba han sido: 15, 13, 16, 15, $19,18,15,14,18$ . Determine la moda, la mediana y la media aritmética
4. Dada la siguiente tabla de frecuencias: Calcular la desviación estándar y la varianza. \begin{tabular}{|c|c|c|} \hline \multicolumn{2}{|c|}{ Inter vall } \\ \hline $[10,15)$ & 12,5 & 3 \\ \hline $[15,20)$ & 17,5 & 5 \\ \hline $[20,25)$ & 22,5 & 7 \\ \hline $[25,30)$ & 27,5 & 4 \\ \hline $[30,35)$ & 32,5 & 2 \\ \hline \multicolumn{2}{|l|}{} & $n=21$ \\ \hline \end{tabular}

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Problem 3132

MOTIVACIÓN Se realizó una encuesta a un grupo de 26 personas, preguntándoles cuál era su lugar preferido para pasear en familia, por lo que respondieron: Ahora, responde: a. ¿Cuántos votos hay del zoológico como lugar preferido? b. ¿Cuál fue el lugar que más votos tuvo como lugar preferido? \begin{tabular}{|c|c|} \hline & Lugares preferidos para pasear \\ \hline zoologico & \\ \hline parque & A 4 \\ \hline cine & $\Delta 4 \Delta \Delta$ \\ \hline circo & $\Delta$ a \\ \hline museo & A A $A$ \\ \hline \multicolumn{2}{|l|}{ $\operatorname{coda} \Delta=1$ voto} \\ \hline \end{tabular}

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Problem 3133

1. Clasifica las siguientes variables en: cuantitativa (continua, discreto) o cualitativa (nominal, ordinal)
2. Realizamos un estudio para conocer el número de televisores que hay en cada vivienda en una determinada zona de la ciudad y obtenemos los siguientes datos: $\begin{array}{l} 1,1,2,2,2,2,0,0,4,3,2,3,4,3,4,1,1,1,2,0,3,4,2,2,4 \\ 4,2,1,4,1,1,1,2,2,2,2,1,1,1,2,2,1,1,3,3,1,1,2,2,1 \end{array}$
Construye el diagrama de barras, histograma y circular

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Problem 3134

1. Clasifica las siguientes variables en: cuantitativa (continua, discreto) o cualitativa (nominal, ordinal)
2. Realizamos un estudio para conocer el número de televisores que hay en cada vivienda en una determinada zona de la ciudad y obtenemos los siguientes datos: $\begin{array}{l} 1,1,2,2,2,2,0,0,4,3,2,3,4,3,4,1,1,1,2,0,3,4,2,2,4 \\ 4,2,1,4,1,1,1,2,2,2,2,1,1,1,2,2,1,1,3,3,1,1,2,2,1 \end{array}$
Construye el diagrama de barras, histograma y circular

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Problem 3135

Your flight has been delayed: At Denver International Airport, $82 \%$ of recent flights have arrived on time. A sample of 11 flights is studied.
Round the probabilities to at least four decimal places.
Part 1 of 4 (a) Find the probability that all 11 of the flights were on time.

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Problem 3136

Using the areas in Figure (the Empirical Rule), find the areas between $z=\mathbf{1}$ and $z=\mathbf{2}$ Done

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Problem 3137

$1 \mathrm{R} \times 8 \mathrm{C}$ Accessibility tab summary: Financial information Adam's corporation is presented in rows 2 to 17.
1 $\square$ A B c D E F
2 Adams Corporation evaluates divisional managers based on ROI. Operating results for the company's Northern Division for last year are given below: 3 \begin{tabular}{|l|r|} \hline Sales & \\ \hline Variable expenses & $\$ 27,000,000$ \\ \hline Contribution margin & $16,200,000$ \\ \hline Fixed expenses & $10,800,000$ \\ \hline Net operating income & $8,805,000$ \\ \hline & $\$ 1,995,000$ \\ \hline Divisional operating assets & \\ \hline \end{tabular}
10 Divisional operating assets 11 12 The Northern Division has an opportunity to add a new product line as follows: 13 \begin{tabular}{|lr|} \hline Required investment & $\$ 2,500,000$ \\ Net operating income & $\$ 400,000$ \\ \hline \end{tabular}
14 Required investment 15 16 \begin{tabular}{|c|c|c|c|c|} \hline \multirow[t]{2}{}{Adams Corporation's minimum acceptable rate of return} & \multirow[t]{2}{}{15\%} & & & \\ \hline & & & & \\ \hline Required: & & & & \\ \hline Compute the following: & & & & \\ \hline \end{tabular}
Compute the following: (Use cells $\mathbf{A 4}$ to $\mathbf{B 1 7}$ from the given information to complete this question.) ``` 23 24 1. Northern Division ROI for last year 25 26 2. Northern Division ROI if new product line is added 27 28 3. Determine whether the Northern Division manager will ACCEPT or REJECT the new product line based on ROI. 29 30 4. Northern Division residual income for last year 31 325.Northern Division residual income if the new product line is added 33 ```
34 6. Determine whether the Northern Division manager will ACCEPT or REJECT the new product line based on residual income.

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Problem 3138

Suppose that $80 \%$ of all voters prefer Candidate A. If 7 people are chosen at random for a poll, what is the probability that fewer than 5 of them favor Candidate A?
Probability = $\square$ (Please show your answer to 4 decimal places)

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Problem 3139

We say that the design of a study is biased if which of the following is true? (2) A racial or sexual preference is suspected. (b) Random placebos have been used. (c) Certain outcomes are systematically favored. (d) The correlation is greater than 1 or less than -1 . (e) An observational study was used when an experiment would have been feasible.

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Problem 3140

5. A recent survey by a Canadian magazine on the contribution of universities to the economy was circulated to 394 people who the magazine decided "are the most likely to know how important universities are to the Canadian economy." Which of the following is the main problem with using these results to draw conclusions about the general public's perception? (a) Insufficient attention to the placebo effect. (b) $X 0$ control group. (c) Lack of random assignment. (d) Lack of random selection. (e) Response bias.

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Problem 3141

Here are some facts about units of volume. \begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline fluid ounce & fl oz & \\ \hline cup & c & $1 \mathrm{c}=8 \mathrm{fl} \mathrm{oz}$ \\ \hline pint & pt & $1 \mathrm{pt}=2 \mathrm{c}$ \\ \hline quart & qt & $1 \mathrm{qt}=2 \mathrm{pt}$ \\ \hline gallon & gal & $1 \mathrm{gal}=4 \mathrm{qt}$ \\ \hline \end{tabular}
Fill in the blanks. $\begin{aligned} 8 \mathrm{pt} & =\llbracket \mathrm{qt} \\ 7 \mathrm{c} & =\square \mathrm{floz} \end{aligned}$

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Problem 3142

The table shows how many cousins each of 30 students in Class A has. \begin{tabular}{cc} Number of cousins & Frequency \\ 0 & 3 \\ 1 & 7 \\ 2 & 6 \\ 3 & 11 \\ 4 & 1 \\ 5 & 2 \end{tabular}
Write down the mode of the number of cousins. (1 mark) 5 Submit Answer

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Problem 3143

The table shows information about the weekly earnings of 20 peop who work in a shop. \begin{tabular}{|c|c|} \hline Weekly earnings ( $\mathbf{f} \boldsymbol{x}$ ) & Frequency \\ \hline $150<x \leqslant 250$ & 1 \\ \hline $250<x \leqslant 350$ & 11 \\ \hline $350<x \leqslant 450$ & 5 \\ \hline $450<x \leqslant 550$ & 0 \\ \hline $550<x \leqslant 650$ & 3 \\ \hline \end{tabular}
Work out an estimate for the mean of the weekly earnings.

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Problem 3144

The table gives information about the times taken by 80 people to run a race. $\begin{array}{cc} \text { Time taken ( } t \text { minutes) } & \text { Cumulative Frequency } \\ 50<t \leq 60 & 15 \\ 50<t \leq 70 & 31 \\ 50<t \leq 80 & 52 \\ 50<t \leq 90 & 66 \\ 50<t \leq 100 & 74 \\ 50<t \leq 110 & 80 \end{array}$
This information is shown on the cumulative frequency graph below.
Use this graph to find an estimate for the median time taken.

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Problem 3145

9. Nach Angaben der Post erreichen $90 \%$ aller Inlandsbriefe den Empfänger am nächsten Tag. Johanna verschickt acht Einladungen zu ihrem Geburtstag. Mit welcher Wahrscheinlichkeit a) sind alle Briefe am nächsten Tag zugestellt? b) sind mindestens sechs Briefe am nächsten Tag zugestellt?

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Problem 3146

The table gives information about the times taken by 80 people to run a race.
Time taken ( $t$ minutes) Cumulative Frequency $\begin{array}{ll} 50<t \leq 60 & 15 \\ 50<t \leq 70 & 31 \\ 50<t \leq 80 & 52 \\ 50<t \leq 90 & 66 \\ 50<t \leq 100 & 74 \\ 50<t \leq 110 & 80 \end{array}$
This information is shown on the cumulative frequency graph below.
Use this graph to find an estimate for the interquartile range of the times taken.

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Problem 3147

The table gives information about the times taken by 80 people to run a race.
Time taken ( $t$ minutes) Cumulative Frequency $\begin{array}{ll} 50<t \leq 60 & 15 \\ 50<t \leq 70 & 31 \\ 50<t \leq 80 & 52 \\ 50<t \leq 90 & 66 \\ 50<t \leq 100 & 74 \\ 50<t \leq 110 & 80 \end{array}$
This information is shown on the cumulative frequency graph below.
Use this graph to find an estimate for the interquartile range of the times taken.

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Problem 3148

The table gives information about the times taken by 80 people to run a race.
Time taken ( $t$ minutes) Cumulative Frequency $\begin{array}{ll} 50<t \leq 60 & 15 \\ 50<t \leq 70 & 31 \\ 50<t \leq 80 & 52 \\ 50<t \leq 90 & 66 \\ 50<t \leq 100 & 74 \\ 50<t \leq 110 & 80 \end{array}$
This information is shown on the cumulative frequency graph below.
Use this graph to find an estimate for the interquartile range of the times taken.

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Problem 3149

Joan measured the heights of students in four different classes. She drew a cumulative frequency graph and a box plot for each class.
Match each cumulative frequency graph to its box plot. (2 marks) $A=$ $\square$ o $B=$ $\square$ - $C=$ $\square$ $8 D=$ $\square$

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Problem 3150

The weekly incomes, rounded to the nearest pound, of households on a certain street in Belfast are given below: $\begin{array}{lllllllllll} 221 & 248 & 251 & 255 & 259 & 263 & 264 & 272 & 291 & 297 & 374 \end{array}$
Calculate the mean and standard deviation of these weekly incomes. Give your answers to 3 significant figures. (4 marks) Q Mean, $\bar{x}=$ $\square$ 0 Standard deviation, $\sigma_{x}=$ $\square$

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Problem 3151

The weekly incomes, rounded to the nearest pound, of households on a certain street in Belfast are given below: $\begin{array}{lllllllllll} 221 & 248 & 251 & 255 & 259 & 263 & 264 & 272 & 291 & 297 & 374 \end{array}$
Calculate the mean and standard deviation of these weekly incomes. Give your answers to 3 significant figures. (4 marks) Q Mean, $\bar{x}=$ $\square$ 0 Standard deviation, $\sigma_{x}=$ $\square$

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Problem 3152

Simon plans to make gloves. One morning, Simon decided to carry out a survey to find the mean hand span of people in Wales.
He decided to sample systematically. He decided to sample from the first 240 people who pass him in the street during the morning.
He wanted to take 20 people's hand span measurements. Explain how Simon could use systematic sampling to obtain 20 measurements.

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Problem 3153

Simon plans to make gloves. One morning, Simon decided to carry out a survey to find the mean hand span of people in Wales.
He decided to sample systematically. He decided to sample from the first 240 people who pass him in the street during the morning.
He wanted to take 20 people's hand span measurements. Explain how Simon could use systematic sampling to obtain 20 measurements.

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Problem 3154

A group of students took some tests. A teacher is analysing the average mark for each student. Each student obtained a different average mark.
For these average marks, the lower quartile is 24 , the median is 30 and the interquartile range (IQR) is 10
The three lowest average marks are 8,10 and 15.5 and the three highest average marks are 45, 52.5 and 56
The teacher defines an outlier to be a value that is either more than $1.5 \times$ IQR below the lower quartile or more than $1.5 \times$ IQR above the upper quartile
The outliers have been determined to be $8,52.5$ and 56 On the grid below draw a box plot for these data, ignoring any outliers. (3 marks)

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Problem 3155

A group of students took some tests. A teacher is analysing the average mark for each student. Each student obtained a different average mark.
For these average marks, the lower quartile is 24 , the median is 30 and the interquartile range (IQR) is 10
The three lowest average marks are 8, 10 and 15.5 and the three highest average marks are 45, 52.5 and 56
The teacher defines an outlier to be a value that is either more than $1.5 \times$ IQR below the lower quartile or more than $1.5 \times$ IQR above the upper quartile
The outliers have been determined to be 8, 52.5 and 56 A box plot for these data is shown below.
Two more students also took the tests. Their average marks, which were both less than 45 , are added to the data and the box plot redrawn.
The median and the upper quartile are the same but the lower quartile is now 26
Redraw the box plot on the grid below, ignoring any outliers. (3 marks)

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Problem 3156

22. In einer Sendung von 80 Batterien befinden sich 10 defekte. Mit welcher Wahrscheinlichkeit enthält eine Stichprobe von 5 Batterien genau eine $\qquad$ defekte Batterie? höchstens 4, $\qquad$

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Problem 3157

Time left 0:26:
Find the mode(s) for the given sample data: 20, 21, 46, 21, 49, 21, 49 32.4 49 21 46

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Problem 3158

estion 16 Time left 0:13:34
Given that $S_{x}^{2}=400, S_{y}^{2}=484, S_{x y}=350$ , and $n=10$ , the correlation coefficient is: 0.50 0.181 0.141 0.70 0.80 Next question

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Problem 3159

The following map shows the job growth rates for each state in the US. Use the map to determine how many states had between $2.5 \%$ and $6.9 \%$ job growth.
Job Growth By State

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Problem 3160

The grades on the second statistics test for Mrs. Sweeney's class are in the following list. Find the frequency distribution for the grades. $A, D, D, C, B, D, D, F, B, B, B, B, D, D, D, F, B, B, D, B, B$
Answer
Grade A frequency $=$ $\square$ Grade B lequency = Grade D frequency = $\square$
Grade C frequency $=$ $\square$ $\square$ $\square$

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Problem 3161

Entry-level salaries for a variety of professions are shown in the pie chart. What percentage of salaries were below $\$ 21,000$ ?
Entry-Level Salaries

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Problem 3162

You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to spin a spinner with two outcomes, blue and red, on it. She will give you $\$ 2$ if the spinner lands on blue and $\$ 18$ if the spinner lands on red. Your mother says she wants you to roll a six-sided die. She will give you $\$ 2$ times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.

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Problem 3163

A football club published on its website the number of entrance tickets sold in 2018 and in 2019. 30. \begin{tabular}{|c|c|c|c|c|c|} \hline & \multicolumn{3}{|l|}{Average number of tickets sold at the entrance door per game} & \multicolumn{2}{|l|}{Seasonal tickets} \\ \hline & Male & Female & Child & Male & Female \\ \hline 2018 & 4521 & 1254 & 759 & 1122 & 780 \\ \hline 2019 & 4668 & 1102 & 884 & 1088 & 794 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|} \hline & \multicolumn{3}{|l|}{Ticket revenue from selling them at the entrance door per game (\$)} & \multicolumn{2}{|l|}{Seasonal ticket revenue (\$)} \\ \hline & Male & Female & Child & Male & Female \\ \hline 2018 & 72336 & 16552.8 & 4402.2 & 78540 & 47970 \\ \hline 2019 & 79822.8 & 15428 & 4420 & 80512 & 47640 \\ \hline \end{tabular}
What is the average revenue ticket from selling them at the entrance door per game in 2019?

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Problem 3164

2. The random variable $X$ has a distribution with density $g(x)=\left\{\begin{array}{ll} 0 & x<0 \\ \frac{x}{8} & x \in[0,2) \\ \frac{1}{3}-\frac{x}{24} & x \in[2,8) \\ 0 & x>8 \end{array} .\right.$
Calculate $\mathbb{E} X, \operatorname{Var} X$ , the skewness coefficient of $X$ , and the kurtosis of $X$ .

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Problem 3165

zmianie dla innego poziomu istotności? i? \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline Poziom cholesterolu przed kuracja & 225 & 236 & 312 & 238 & 241 & 196 & 205 & 259 & 218 \\ \hline Zad. 4. Warszawscy radni & 216 & 195 & 245 & 235 & 221 & 170 & 180 & 265 & 179 \\ \hline \end{tabular}

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Problem 3166

An unfair coin has probability 0.4 of landing heads. The coin is tossed five times. What is the probability that it lands heads at least once? Round the answer to four decimal places. $P($ Lands heads at least once $)=$ $\square$

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Problem 3167

Below, $n$ is the sample size, $p$ is the population proportion and $\hat{p}$ is the sample proportion. Use the Central Limit Theorem and the $71-84$ calculator to find the probability. Round the answer to at least four decimal places. $\begin{array}{c} p=0.24 \\ P(\hat{p}<0.22)= \end{array}$ $\square$

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Problem 3168

A sample of size 23 will be drawn from a population with mean 6 and standard deviation 5 . (a) Is it appropriate to use the normal distribution to find probabilities for $\bar{x}$ ? (b) If appropriate find the probability that $\bar{x}$ will be greater than 4. (c) If appropriate find the $20^{\text {th }}$ percentile of $\bar{x}$ . It is appropriate to use the normal distribution to find probabilities for $\bar{x}$ . The probability that $\bar{x}$ will be greater than 4 is $\square$ The $20^{\text {th }}$ percentile of $\bar{x}$ is $\square$ . It is not appropriate to use the normal distribution to find probabilities for $\bar{x}$ .

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Problem 3169

Smartphones: A poll agency reports that $37 \%$ of teenagers aged $12-17$ own smartphones. A random sample of 101 teenagers is drawn. Round your answers to at least four decimal places as needed.
Part: $0 / 6$
Part 1 of 6 (a) Find the mean $\mu_{\hat{p}}$ .
The mean $\mu_{\hat{p}}$ is 0.37
Part: $1 / 6$
Part 2 of 6
Find the standard deviation $\sigma_{\hat{p}}$ . The standard deviation $\sigma_{\hat{p}}$ is $\square$ .

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Problem 3170

Part A: Ontario's Alpine Skiers An alpine ski coach in Ontario wants insight on how alpine skiers from the province are performing in the Slalom, Giant Slalom, and Super G events in national competitions. A random sample of 74 Ontario alpine skiers who completed in the Canada Winter Games between 1983 and 2015 is selected. The following table summarizes the places in which alpine skiers finish in each of the three events. This table can be found in the Excel sheet Ontario and Quebec. \begin{tabular}{|c|c|c|c|} \hline & Place \#1 to.\#3 (Medals) & Place \#4 to \#10 & Remaining Places \\ \hline Slalom & 3 & 10 & 11 \\ \hline Giant Slalom & 5 & 9 & 16 \\ \hline Super G & 4 & 8 & 8 \\ \hline \end{tabular} (i) If an Chtarian alpine skier is chosen at random, what is the probability that they received a medal in their event?

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Problem 3171

DEIAILS MY NOTES SCOLALG7 2.4.032.MI. 1/100 Submissions Used PREVIOUS ANSWERS
A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner's time at the end of each lap, obtaining the data in the following table. \begin{tabular}{|c|c|} \hline Time (s) & Distance (m.) \\ \hline 30 & 200 \\ 65 & 400 \\ 102 & 600 \\ 140 & 800 \\ 180 & 1000 \\ 228 & 1200 \\ 304 & 1400 \\ 384 & 1600 \\ \hline \end{tabular} (a) What was the man's average speed (rate) between 65 s and 140 s ? (Round your answer to two decimal places.) 5.33 $\square$ $\mathrm{m} / \mathrm{s}$ (b) What was the man's average speed between 228 s and 384 s ? (Round your answer to two decimal places.) $\square$ $\mathrm{m} / \mathrm{s}$ (c) Calculate the man's speed for each lap. Is he slowing down, speeding up, or neither? slowing down speeding up neither

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Problem 3172

Interpreting calculator display: The following TI-84 Plus display presents the results of a hypothesis test. ``` Z-Test \mu> > $5 z=2.872551059 P=.0020359269 \overline{x}}=48.7 n=71 ```
Part: $0 / 5$
Part 1 of 5
What are the null and alternate hypotheses? $\begin{array}{l|ll} H_{0}: \square & \square<\square & \square>\square \\ H_{1}: \square=\square \\ \square \neq \square & \mu \end{array}$

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Problem 3173

Interpreting calculator display: The following TI-84 Plus display presents the results of a hypothesis test. ``` Z-Test \mu> $45 z}=2.87255105 P=.0020359269 \}=48.7 n=71 ```
Part: $0 / 5$ $\square$
Part 1 of 5 What are the null and alternate hypotheses? $\begin{array}{l} H_{0}: \mu=45 \\ H_{1}: \mu>45 \end{array}$
$\square$ $\square$ $1 \neq 1$ $\square$ $\mu$ $\square$ 0 lo $\square$ \%
Part: $1 / 5$
Part 2 of 5 What is the value of the test statistic? Enter the value to the full accuracy shown (do not round). $z=\square$

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Problem 3174

Select the domain and range of the function. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 1 & 4 \\ \hline 3 & 1 \\ \hline 5 & -2 \\ \hline-1 & 7 \\ \hline \end{tabular} domain: Choose... range: Choose...

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Problem 3175

Interpreting calculator display: The following TI-84 Plus display presents the results of a hypothesis test. \begin{tabular}{|l|} \hline \multicolumn{1}{|c|}{ z-Test } \\ $\mu>45$ \\ $z=2.872551059$ \\ $P=.0020359269$ \\ $\bar{x}=48.75$ \\ $n=71$ \end{tabular}
Part: $0 / 5$
Part 1 of 5
What are the null and alternate hypotheses? $\begin{array}{l} H_{0}: \mu=45 \\ H_{1}: \mu>45 \end{array}$ $\square$ $\infty$ do 탕
Part: $1 / 5$
Part 2 of 5
What is the value of the test statistic? Enter the value to the full accuracy shown (do not round). $z=2.87255105$ $\square$
Part: $2 / 5$
Part 3 of 5
What is the $P$ -value? Enter the value to the full accuracy shown (do not round). $P$ -value $=$ $\square$

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Problem 3176

Free dessert: In an attempt to increase business on Monday nights, a restaurant offers a free dessert with every dinner order. Before the offer, the mean number of dinner customers on Monday was 150 . Following are the numbers of diners on a random sample of 12 days while the offer was in effect. Can you conclude that the mean number of diners decreased while the free dessert offer was in effect? Use the $\alpha=0.01$ level of significance and the $P$ -value method with the * Critical Values for the Student's t Distribution Table. \begin{tabular}{llllll} \hline 170 & 133 & 150 & 111 & 171 & 103 \\ 101 & 110 & 133 & 179 & 151 & 112 \\ \hline \end{tabular} Send data to Excel
Part: $0 / 6$
Part 1 of 6
Following is a boxplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
The boxplot shows that there (Choose one) $\boldsymbol{\nabla}$ outliers. The boxplot shows that there (Choose one) $\boldsymbol{\nabla}$ evidence of strong skewness. We (Choose one) $\boldsymbol{\nabla}$ assume that the population is approximately normal. It (Choose one) $\nabla$ reasonable to assume that the conditions are satisfied.

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Problem 3177

Free dessert: In an attempt to increase business on Monday nights, a restaurant offers a free dessert with every dinner order. Before the offer, the mean number of dinner customers on Monday was 150 . Following are the numbers of diners on a random sample of 12 days while the offer was in effect. Can you conclude that the mean number of diners decreased while the free dessert offer was in effect? Use the $\alpha=0.01$ level of significance and the $P$ -value method with the - ${ }^{-1}$ Critical Values for the Student's t Distribution Table. \begin{tabular}{llllll} \hline 170 & 133 & 150 & 111 & 171 & 103 \\ 101 & 110 & 133 & 179 & 151 & 112 \\ \hline \end{tabular} Send dáta to Excel
Part 1 of 6
Following is a boxplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
The boxplot shows that there $\square$ outliers.
The boxplot shows that there $\square$ (Choose one) evidence of strong skewness. We (Choose one) $\square$ assume that the population is approximately normal. It $\square$ (Choose one) reasonable to assume that the conditions are satisfied. Part: 1 / 6 Part 2 of 6
State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}$
This hypothesis test is a $\square$ (Choose one) test.

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Problem 3178

Free dessert: In an attempt to increase business on Monday nights, a restaurant offers a free dessert with every dinner order. Before the offer, the mean number of dinner customers on Monday was 150. Following are the numbers of diners on a random sample of 12 days while the offer was in effect. Can you conclude that the mean number of diners decreased while the free dessert offer was in effect? Use the $\alpha=0.01$ level of significance and the $P$ -value method with the
Critical Values for the Student's $t$ Distribution Table. \begin{tabular}{llllll} \hline 170 & 133 & 150 & 111 & 171 & 103 \\ 101 & 110 & 133 & 179 & 151 & 112 \\ \hline \end{tabular} Send data to Excel
Part 1 of 6
Following is a boxplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
The boxplot shows that there are outliers. The boxplot shows that there is no evidence of strong skewness.
We can $\square$ assume that the population is approximately normal.
It $\square$ reasonable to assume that the conditions are satisfied.
Part 2 of 6
State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}=\mu=150 \\ H_{1}: \mu<150 \end{array}$
This hypothesis test is a left-tailed $\square$ test. 5

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Problem 3179

Free dessert: In an attempt to increase business on Monday nights, a restaurant offers a free dessert with every dinner order. Before the offer, the mean number of dinner customers on Monday was 150. Following are the numbers of diners on a random sample of 12 days while the offer was in effect. Can you conclude that the mean number of diners decreased while the free dessert offer was in effect? Use the $\alpha=0.01$ level of significance and the $P$ -value method with the - Critical Values for the Student's t Distribution Table. \begin{tabular}{llllll} \hline 170 & 133 & 150 & 111 & 171 & 103 \\ 101 & 110 & 133 & 179 & 151 & 112 \\ \hline \end{tabular} Send data to Excel Part 1 of 6
Following is a boxplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfled? Explain.
The boxplot shows that there $\square$ outliers.
The boxplot shows that there $\square$ is no evidence of strong skewness.
We $\square$ assume that the population is approximately normal.
It $\square$ reasonable to assume that the conditions are satisfied.
Part 2 of 6
State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \mu=150 \\ H_{1}: \mu<150 \end{array}$ $\text { This hypothesis test is a left-tailed } \quad \nabla \text { test. }$
Part: $2 / 6$
Part 3 of 6
Compute the value of the test statistic. Round the answer to three decimal places. $t=-1.801$ $\square$ $\times$ 5 $\times$ 5 $\square$ $\infty$ (2) 目４） $\square$ alo 탕 I $\square$ $\begin{array}{l} 00 \quad 120 \quad 140 \quad 160 \quad 180 \\ 10 \end{array}$ $\qquad$

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Problem 3180

Big babies: The National Health Statistics Reports described a study in which a sample of 322 one-year-old baby boys were weighed. Their mean weight was 25.1 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the $\alpha=0.05$ level of significance and $P$ -value method with the (3) Critical Values for the Student's t Distribution Table.
Part: $0 / 5$ $\square$
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}$
This hypothesis test is a (Choose one) $\nabla$ test. $\square$

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Problem 3181

Patients arrive at an emergency department according to a poisson process with a mean of 6 per hour. What is the probability that more than 30 minutes is required for the third arrival?

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Problem 3182

A company has been monitoring their sales, and based on the history of data collected, they can provide the following probability distribution for the number of sales per week per salesperson. What is the sales per week per person standard deviation? (Round to the nearest two decimal places) \begin{tabular}{cc} \hline Number of sales per week & Probability $\mathrm{f}(\mathrm{x}$ \\ \hline 0 & 0.09 \\ 10 & 0.15 \\ 20 & 0.42 \\ 30 & 0.26 \\ 40 & 0.08 \\ \hline \end{tabular}

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Problem 3183

Heights ( cm ) and weights ( kg ) are measured for 100 randomly selected adult males, and range from heights of 139 to 193 cm and weights of 38 to 150 kg . Let the predictor variable x be the first variable given. The 100 paired measurements yield $\bar{x}=167.54 \mathrm{~cm}, \bar{y}=81.44 \mathrm{~kg}, \mathrm{r}=0.185, P$ -value $=0.065$ , and $\hat{y}=-107+1.05 x$ . Find the best predicted value of $\hat{y}$ (weight) given an adult male who is 161 cm tall. Use a 0.05 significance level.
Click the icon to view the critical values of the Pearson correlation coefficient $r$ .
The best predicted value of $\hat{y}$ for an adult male who is 161 cm tall is $\square$ kg . (Round to two decimal places as needed.)

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Problem 3184

1C. chap.3.10. Source : Actimath à l'infini. Livre-cahier. Editions Van In 20 (2) Le tableau ci-dessous contient la répartition des 160 licenciés des clubs sportifs d'un village wallon en fonction de leur discipline sportive. Complète-le et illustre cette répartition par un diagramme circulaire. \begin{tabular}{|c|c|c|c|c|} \hline \multirow{2}{}{ Sport } & \multirow{2}{}{\begin{tabular}{c} Nombre \\ d'affiliés \end{tabular}} & \multirow{2}{*}{ $\%$ } & \multicolumn{2}{|c|}{ Amplitude } \\ \cline { 4 - 5 } & & Degrés & \begin{tabular}{c} Degrés \\ arrondis \end{tabular} \\ \hline Basket & 17 & & & \\ \hline Football & 66 & & & \\ \hline Tennis & 20 & & & \\ \hline Volley & 19 & & & \\ \hline Natation & 38 & & & \\ \hline Totaux & 160 & 100 & $360^{\circ}$ & \\ \hline \end{tabular}
Répartition des sports

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Problem 3185

Übungsaufgaben: 1.
Berechnen Sie für folgende Spiele den Gewinn pro Spiel auf lange Sicht, d. h. den Erwartungswert des Gewinns, und beurteilen Sie, ob das Spiel fair ist. Geben Sie ggf. zusätzlich gesuchte Werte an, falls durch „?" verlangt. a)
Einsatz 2 €. \begin{tabular}{|l|l|l|l|} \hline Auszahlung X & 0 & 1 & 2 \\ \hline $\mathrm{P}[\mathrm{X}=\mathrm{x}]$ & $\frac{1}{2}$ & & $\frac{1}{4}$ \\ \hline \end{tabular} b)
Einsatz 5 € \begin{tabular}{|l|l|l|l|} \hline Auszahlung X & 1 & 12 & 23 \\ \hline $\mathrm{P}[\mathrm{X}=\mathrm{x}]$ & $\frac{1}{2}$ & $\frac{3}{8}$ & $\frac{1}{8}$ \\ \hline \end{tabular} c)
Einsatz 5 € \begin{tabular}{|l|l|l|l|} \hline Auszahlung & $?$ & $?$ & $?$ \\ \hline Gewinn X & -5 & 0 & 10 \\ \hline $\mathrm{P}[\mathrm{X}=\mathrm{x}]$ & 0,4 & 0,4 & 0,2 \\ \hline \end{tabular} d)
Einsatz ? € \begin{tabular}{|l|l|l|l|l|l|} \hline Auszahlung & 4 & 0 & 3 & 1 \\ \hline Gewinn X & 2 & & -2 & 1 & -1 \\ \hline $\mathrm{P}[\mathrm{X}=\mathrm{x}]$ & \multirow{2}{6}{} & \multicolumn{1}{c|}{ $\frac{1}{6}$ } & & 0 & \\ \hline \end{tabular}

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Problem 3186

Example: If the Quiz scores in a class with 10 students are: $3,5,5,6,4,3,2,1,5,6$ , find the arithmetic mean, median, mode, and range for these scores.

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Problem 3187

Al-Quds Company, a manufacturer of wool cloth, uses the weighted-average method for its process costing system. Each unit passes through the assembly department and the testing department. This problem focuses on the assembly department. The information for March is as follows:
Beginning work in process was half converted as to labor and overhead. Direct materials are added at the beginning of the process. All conversion costs are incurred evenly throughout the process. Ending work in process was $60 \%$ complete.
Required:
1. What is the total cost to account for?
Tockefor Bey wip Dm + Beg curp CC + Dm added + CCC (DL + MOH) $\begin{array}{l} =6,000+2600+30,000+(12,000+5000) \\ =55,600 \end{array}$
2. What are the equivalent units for direct materials? $\begin{array}{l} \begin{array}{ll} \text { Dm } \\ \text { Comptetel } \\ 25,000 \end{array} \quad \begin{array}{c} \text { Bey }+ \text { started }=\text { complete tend } \\ 10,000+20,000=25,000+\text { end } \end{array} \\ \text { end } 5,000 \text { end }=5000 \text { units. } \end{array}$
3. What is the equivalent unit for conversion costs? $\begin{array}{ll} \text { complete } & 25,000 \\ \text { end } & 3000(0,60 \times 5000) \end{array} \quad \text { e.U CC }=28,000$
4. Journalize the required entry to record the direct materials purchased and used in production during March.

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Problem 3188

Do students perform the same when they take an exam alone as when they take an exam in a classroom setting? Eight students were given two tests of equal difficulty. They took one test in a solitary room and they took the other in a room filled with other students. The results are shown below.
Exam Scores \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline Alone & 89 & 90 & 83 & 74 & 83 & 77 & 69 & 69 \\ \hline Classroom & 98 & 98 & 92 & 80 & 81 & 81 & 72 & 72 \\ \hline \end{tabular}
Assume a Normal distribution. What can be concluded at the the $\alpha=0.01$ level of significance level of significance?
For this study, we should use Select an answer a. The null and alternative hypotheses would be: $H_{0}$ : Select an answer Select an answer Select an answer $\square$ (please enter a decimal) $H_{1}$ : Select an answer Select an answer Select an answer (Please enter a decimal) b. The test statistic ? $=$ $\square$ (please show your answer to 3 decimal places.) c. The $p$ -value $=$ $\square$ (Please show your answer to 4 decimal places.) d. The $p$ -value is $\square$ $\alpha$ e. Based on this, we should Select an answer $\square$ t... f. Thus, the final conclusion is that the null hypothesis. The results are statistically insignificant at $\alpha=0.01$ , so there is insufficient evidence to conclude that the population mean test score taking the exam alone is not the same as the population mean test score taking the exam in a classroom setting. The results are statistically significant at $\alpha=0.01$ , so there is sufficient evidence to conclude that the population mean test score taking the exam alone is not the same as the population mean test score taking the exam in a classroom setting. The results are statistically significant at $\alpha=0.01$ , so there is sufficient evidence to conclude that the eight students scored the same on average taking the exam alone compared to the classroom setting. The results are statistically insignificant at $\alpha=0.01$ , so there is statistically significant evidence to conclude that the population mean test score taking the exam alone is equal to the population mean test score taking the exam in a classroom setting.

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Problem 3189

You wish to test the following claim $\left(H_{a}\right)$ at a significance level of $\alpha=0.02$ . $\begin{array}{c} H_{o}: \mu=82.2 \\ H_{a}: \mu<82.2 \end{array}$
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size $n=18$ with mean $M=78.3$ and a standard deviation of $S D=18.2$ .
What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = $\square$ What is the p-value for this sample? (Report answer accurate to four decimal places.) p -value $=$ $\square$

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Problem 3190

1. A method of assigning probabilities which assumes that the experimental outcomes are equally likely is referred to as the $\qquad$
2. If $\mathrm{P}(\mathrm{A})=0.6, \mathrm{P}(\mathrm{B})=0.35, \mathrm{~A}$ and B are independent, then $P(A \cup B)=$ $\qquad$
3. If $P(A \cap B) \neq P(A) \cdot P(B)$ , then A and B are called $\qquad$
4. If the two events A and B are mutually exclusive then $P(A \cap B)=$ $\qquad$
5. The counting rule that is used for counting the number of experimental outcomes when n objects are 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?
8. In how many ways can you select four students to interview from a list of ten students?

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Problem 3191

You wish to test the following claim $\left(H_{a}\right)$ at a significance level of $\alpha=0.02$ . $\begin{array}{l} H_{o}: \mu=50.3 \\ H_{a}: \mu<50.3 \end{array}$
You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: \begin{tabular}{|r|r|r|r|r|} \hline 56.1 & 21.7 & 24 & 61.8 & 55.5 \\ \hline 59.4 & 5.2 & 58 & 12.5 & 53.7 \\ \hline 69.4 & 18.9 & 54.3 & 36.8 & 45.3 \\ \hline 53.7 & 8.3 & 60.2 & 43.1 & 66.8 \\ \hline 40.8 & 44.9 & 69.4 & 20.8 & 32.4 \\ \hline 35.8 & 50.1 & 43.1 & 34.4 & 40.8 \\ \hline 35.8 & 39.1 & 28 & 44.9 & 40.4 \\ \hline 56.7 & 20.8 & 36.8 & 39.1 & 35.8 \\ \hline 39.1 & 31.4 & 12.5 & 31.4 & 71 \\ \hline 60.2 & 41.7 & 48.6 & 49.1 & 48.6 \\ \hline \end{tabular}
What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = $\square$ What is the $p$ -value for this sample? (Report answer accurate to four decimal places.) p -value $=$ $\square$

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Problem 3192

The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg ) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). September $57 \quad 63 \quad 60$ 70 52 65 $\begin{array}{lll}74 & 92 & 57\end{array}$ April 58 65 64 68 53 82 92 59
Identify the P -value. P -value $=0.027^{7}$ (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P -value is less than the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is $\square$ $\mathrm{kg}<\mu_{\mathrm{d}}<$ $\square$ kg. (Type integers or decimals roundeध to one decimal place as needed.)

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Problem 3193

Test the claim that the mean GPA of night students is smaller than 3.4 at the 0.025 significance level. The null and alternative hypothesis would be: $\begin{array}{cccccc} H_{0}: \mu \geq 3.4 & H_{0}: p=0.85 & H_{0}: p \leq 0.85 & H_{0}: p \geq 0.85 & H_{0}: \mu=3.4 & H_{0}: \mu \leq 3.4 \\ H_{1}: \mu<3.4 & H_{1}: p \neq 0.85 & H_{1}: p>0.85 & H_{1}: p<0.85 & H_{1}: \mu \neq 3.4 & H_{1}: \mu>3.4 \\ & & & & & \end{array}$
The test is: $\qquad$
Based on a sample of 80 people, the sample mean GPA was 3.37 with a standard deviation of 0.06 The test statistic is: $\square$ (to 2 decimals)
The $p$ -value is: $\square$ (to 2 decimals)

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Problem 3194

```latex \text{Daytona Company has three employees who are paid on an hourly basis, plus time and a half for hours in excess of 44 hours per week. Payroll information for the week ending December 16, 2021 is listed below.}
\begin{tabular}{|l|c|c|c|c|c|c|c|} \hline \text{Employee} & \text{Hours Worked} & \text{Hourly Rate} & \text{Income Tax} & \text{CPP} & \text{EI} & \text{Union Dues} \\ \hline \text{J. Michelle} & 48 & \$16.80 & \$161.28 & \$42.11 & \$13.27 & \$30.00 \\ \hline \text{A. Knopf} & 45 & \$17.90 & \$161.10 & \$40.72 & \$12.87 & \$30.00 \\ \hline \text{C. Tatum} & 42 & \$16.40 & \$137.76 & \$33.87 & \$10.88 & \$30.00 \\ \hline \end{tabular}
\text{Do not enter dollar signs or commas in the input boxes.} \text{Round your answers to 2 decimal places.}
\begin{enumerate} \item[(a)] Calculate gross pay for each employee and the amount the employer will have to pay for CPP and EI. \begin{tabular}{|l|l|l|l|} \hline \text{Employee} & \multicolumn{1}{c|}{\text{Gross}} & \text{Employer CPP} & \multicolumn{1}{c|}{\text{Employer EI}} \\ \hline \text{J. Michelle} & & & \$4 \\ \hline \end{tabular} \item[(b)] Prepare the journal entries for the December 16 payroll and the employer's portion of payroll. Employees will not be paid until next week. \text{For transactions with more than one debit or more than one credit, enter the debit accounts in alphabetical order followed by credit.} \end{enumerate}
\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.}
\text{Dialogue Transcript:}
\text{Hello! It seems like you're working on a payroll calculation problem for Daytona Company, but some critical information is missing. To help you with this, I'll need:}
\begin{enumerate} \item \text{The hourly wage rate for each employee.} \item \text{The number of hours worked by each employee for the week ending December 16, 2021.} \item \text{The rates applicable for CPP and EI deductions.} \end{enumerate}
\text{Once you provide this information, I can help you calculate the gross pay for each employee, the employer's contributions, and assist you with the required journal entries. Feel free to provide these details, and we'll get started right away!}

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Problem 3195

2. If $P(A)=0.6, P(A \cup B)=0.8$ , and the events $A$ and $B$ are independent, then compute the probability of $B$
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 $M=\{$ student is male\}, $H=\{$ student prefers to study at Home $\}$ , then are $M$ and $H$ independent Explain

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Problem 3196

$\begin{array}{c} H_{o}: \mu_{d}=0 \\ H_{a}: \mu_{d} \neq 0 \end{array}$
You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: \begin{tabular}{|r|r|} \hline pre-test & post-test \\ \hline 28.9 & 30.1 \\ \hline 55.1 & 61.1 \\ \hline 39.6 & 37.4 \\ \hline 35.6 & -0.9 \\ \hline 52.5 & 49.6 \\ \hline 47.8 & 36.9 \\ \hline 45.3 & 31 \\ \hline 39.2 & 40.8 \\ \hline 36.5 & 37.3 \\ \hline 26.3 & 24.5 \\ \hline 44.5 & 8 \\ \hline 34.1 & 42.3 \\ \hline 35.1 & 61.3 \\ \hline 60.5 & 52.6 \\ \hline 50.7 & 49.3 \\ \hline 44.2 & 60.7 \\ \hline 52.1 & 80.9 \\ \hline \end{tabular}
What is the test statistic for this sample? test statistic $=$ $\square$ (Report answer accurate to 4 decimal places.)
What is the $p$ -value for this sample? p -value $=$ $\square$ (Report answer accurate to 4 decimal places.)

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Problem 3197

Question 2 of 33 This les, : $\quad$ : 1 in This (uevioni: a If a riflernan's gursight is acjusted incorrectly, he might shoot bullets consistently close to 2 leet left of the bull's-eye target. Dram a sket this show lack of precision or bias? b. Drasn a second sketch of the target it the shots are both unbiased and precise (have little variation). The riflernan's aim is not parlect, so one bullethole. a. Drawn a sketch of the target with the bullet holes consistently close to 2 feet left of the bull's-eye target. Choose the correct target below feet. A. B. c.
Does this show lack of precision or bias?

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Problem 3198

he U.S. Department of Health has suggested that a healthy total cholesterol measurement should be $200 \frac{\mathrm{mg}}{\mathrm{dL}}$ or less. Records from 50 randomly and independently selected eople from a study conducted by the agency showed the results in the technology output given below. Test the hypothesis that the mean cholesterol level is more than 200 using a ignificance level of 0.05 . Assume that conditions are met.
One-Sample T Test of $\mu=200$ vs $>200$ \begin{tabular}{rrrrcc} N & Mean & StDev & SE Mean & T & P \\ 50 & 208.17 & 40.78 & 5.77 & 1.42 & 0.081 \\ \hline \end{tabular}
Determine the null and alternative hypotheses. Choose the correct answer below. A. $H_{0}: \mu=200$ B. $H_{0}: \mu=200$ C. $H_{0}: \mu<200$ $H_{a}: \mu>200$ $\mathrm{H}_{\mathrm{a}}: \mu \neq 200$ $H_{a}: \mu \geq 200$ D. $H_{0}: \mu>200$ E. $H_{0}: \mu=200$ F. $H_{0}: \mu \neq 200$ H. . 1 < mn H. . 1 < $20 n$ H. $"=2 \mathrm{mn}$ (1) Time Remaining: 01:25:23 Next

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Problem 3199

A 2003 study of dreaming found that out of a random sample of 114 people, 85 reported drearning in color. However, the rate of reported drearning in color that was established in the 1940s was 0.28 . Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to test to see if the proportion dreaming in color had changed since the 1940s.
Are the conditions met? A. No, the observations are not independent. B. No, the sample size is not large enough to produce at least 10 successes and 10 failures. C. No, the population is not more than 10 times bigger than the sample size. D. Yes, all the conditions are met.

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Problem 3200

Suppose that, when taking a random sample of three students' GPAs, you get a sample mean of 3.90 . This sample mean is far higher than the college-wide (population) mean. Does this prove that your sample is biased? Explain. What else could have caused this high mean?
Choose the correct answer below. A. Nothing other than bias could have caused this small mean. B. The sample may not be biased. The measurements may not have been precise. C. One or more of the students could have lied about their GPAs. D. The sample may not be biased. The high mean might have occurred by chance, since the sample size is very small.

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Data & Statistics

Problem 3101

Is there a link between liking a TV show and viewer age? (a) Find expected adults who dislike: 20.1320.1320.13. (b) Calculate χ2\chi^{2}χ2 test statistic: χ2=∑(observed−expected)2expected\chi^{2}=\sum \frac{(observed - expected)^{2}}{expected}χ2=∑expected(observed−expected)2​.

Problem 3102

Problem 3103

For a Standard Normal Variable, find P(0.58<z<1.74)P(0.58<z<1.74)P(0.58<z<1.74) using the provided tables.

Problem 3104

Given heights of 200 fir trees, create a cumulative frequency table, curve, and estimate median, IQR, mean, SD, and variance.

Problem 3105

Count the significant digits in these measurements: −8.0×10−1 kJ/mol-8.0 \times 10^{-1} \mathrm{~kJ/mol}−8.0×10−1 kJ/mol, 0.007500 J0.007500 \mathrm{~J}0.007500 J, 3.3×10−3 mL3.3 \times 10^{-3} \mathrm{~mL}3.3×10−3 mL, 40400 kg40400 \mathrm{~kg}40400 kg.

Problem 3106

Calculate the probability P(0.58<z<1.74)\mathrm{P}(0.58<\mathrm{z}<1.74)P(0.58<z<1.74) for a Standard Normal Random Variable using the provided tables.

Problem 3107

Problem 3108

Problem 3109

Question The graph below shows the graphs of several normal distributions, labeled A,BA, BA,B, and CCC, on the same axis. Determine which normal distribution has the largest standard deviation.Select the correct answer below: A B C

Problem 3110

Problem 3111

Problem 3112

Problem 3113

Problem 3114

Problem 3115

Problem 3116

Find the standard deviation for the following group of data items. 6,11,11,196,11,11,196,11,11,19The standard deviation is approximately □\square□ (Round to two decimal

Problem 3117

Problem 3118

Problem 3119

Fill in the blank so that the resulting statement is true. A data value that occurs most often in a data set is the measure of central tendency called the \qquad .A data value that occurs most often in a data set is the measure of central tendency called the □\square□

Problem 3120

Problem 3121

Problem 3122

Video: How to Find T-Value from a T-Table? t-table.pdf □\square□ What is the ttt value with a 95%95 \%95% confidence interval for the true population mean if the sample size n=23\mathrm{n}=23n=23 ? (Please keep three decimal places) t value = □\square□ Submit Question

Problem 3123

Problem 3124

Problem 3125

Problem 3126

Problem 3127

Problem 3128

Problem 3129

Problem 3130

Problem 3131

Problem 3132

Problem 3133

Problem 3134

Problem 3135

Your flight has been delayed: At Denver International Airport, 82%82 \%82% of recent flights have arrived on time. A sample of 11 flights is studied.Round the probabilities to at least four decimal places.Part 1 of 4 (a) Find the probability that all 11 of the flights were on time.

Problem 3136

Using the areas in Figure (the Empirical Rule), find the areas between z=1z=\mathbf{1}z=1 and z=2z=\mathbf{2}z=2 Done

Problem 3137

Problem 3138

Suppose that 80%80 \%80% of all voters prefer Candidate A. If 7 people are chosen at random for a poll, what is the probability that fewer than 5 of them favor Candidate A?Probability = □\square□ (Please show your answer to 4 decimal places)

Problem 3139

Problem 3140

Problem 3141

Problem 3142

The table shows how many cousins each of 30 students in Class A has. \begin{tabular}{cc} Number of cousins & Frequency \\ 0 & 3 \\ 1 & 7 \\ 2 & 6 \\ 3 & 11 \\ 4 & 1 \\ 5 & 2 \end{tabular}Write down the mode of the number of cousins. (1 mark) 5 Submit Answer

Problem 3143

Problem 3144

Problem 3145

9. Nach Angaben der Post erreichen 90%90 \%90% aller Inlandsbriefe den Empfänger am nächsten Tag. Johanna verschickt acht Einladungen zu ihrem Geburtstag. Mit welcher Wahrscheinlichkeit a) sind alle Briefe am nächsten Tag zugestellt? b) sind mindestens sechs Briefe am nächsten Tag zugestellt?

Problem 3146

Problem 3147

Problem 3148

Problem 3149

Joan measured the heights of students in four different classes. She drew a cumulative frequency graph and a box plot for each class.Match each cumulative frequency graph to its box plot. (2 marks) A=A=A= □\square□ o B=B=B= □\square□ - C=C=C= □\square□ 8D=8 D=8D= □\square□

Problem 3150

Problem 3151

Problem 3152

Problem 3153

Problem 3154

Problem 3155

Problem 3156

22. In einer Sendung von 80 Batterien befinden sich 10 defekte. Mit welcher Wahrscheinlichkeit enthält eine Stichprobe von 5 Batterien genau eine \qquad defekte Batterie? höchstens 4, \qquad

Problem 3157

Time left 0:26:Find the mode(s) for the given sample data: 20, 21, 46, 21, 49, 21, 49 32.4 49 21 46

Problem 3158

estion 16 Time left 0:13:34Given that Sx2=400,Sy2=484,Sxy=350S_{x}^{2}=400, S_{y}^{2}=484, S_{x y}=350Sx2​=400,Sy2​=484,Sxy​=350, and n=10n=10n=10, the correlation coefficient is: 0.50 0.181 0.141 0.70 0.80 Next question

Problem 3159

The following map shows the job growth rates for each state in the US. Use the map to determine how many states had between 2.5%2.5 \%2.5% and 6.9%6.9 \%6.9% job growth.Job Growth By State

Problem 3160

Is there a link between liking a TV show and viewer age? (a) Find expected adults who dislike: $20.13$ . (b) Calculate $\chi^{2}$ test statistic: $\chi^{2}=\sum \frac{(observed - expected)^{2}}{expected}$ .

For a Standard Normal Variable, find $P(0.58<z<1.74)$ using the provided tables.

Count the significant digits in these measurements: $-8.0 \times 10^{-1} \mathrm{~kJ/mol}$ , $0.007500 \mathrm{~J}$ , $3.3 \times 10^{-3} \mathrm{~mL}$ , $40400 \mathrm{~kg}$ .

Calculate the probability $\mathrm{P}(0.58<\mathrm{z}<1.74)$ for a Standard Normal Random Variable using the provided tables.

Question The graph below shows the graphs of several normal distributions, labeled $A, B$ , and $C$ , on the same axis. Determine which normal distribution has the largest standard deviation.
Select the correct answer below: A B C

Find the standard deviation for the following group of data items. $6,11,11,19$
The standard deviation is approximately $\square$ (Round to two decimal

Fill in the blank so that the resulting statement is true. A data value that occurs most often in a data set is the measure of central tendency called the $\qquad$ .
A data value that occurs most often in a data set is the measure of central tendency called the $\square$

Video: How to Find T-Value from a T-Table? t-table.pdf $\square$ What is the $t$ value with a $95 \%$ confidence interval for the true population mean if the sample size $\mathrm{n}=23$ ? (Please keep three decimal places) t value = $\square$ Submit Question

Your flight has been delayed: At Denver International Airport, $82 \%$ of recent flights have arrived on time. A sample of 11 flights is studied.
Round the probabilities to at least four decimal places.
Part 1 of 4 (a) Find the probability that all 11 of the flights were on time.

Using the areas in Figure (the Empirical Rule), find the areas between $z=\mathbf{1}$ and $z=\mathbf{2}$ Done

Suppose that $80 \%$ of all voters prefer Candidate A. If 7 people are chosen at random for a poll, what is the probability that fewer than 5 of them favor Candidate A?
Probability = $\square$ (Please show your answer to 4 decimal places)

The table shows how many cousins each of 30 students in Class A has. \begin{tabular}{cc} Number of cousins & Frequency \\ 0 & 3 \\ 1 & 7 \\ 2 & 6 \\ 3 & 11 \\ 4 & 1 \\ 5 & 2 \end{tabular}
Write down the mode of the number of cousins. (1 mark) 5 Submit Answer

9. Nach Angaben der Post erreichen $90 \%$ aller Inlandsbriefe den Empfänger am nächsten Tag. Johanna verschickt acht Einladungen zu ihrem Geburtstag. Mit welcher Wahrscheinlichkeit a) sind alle Briefe am nächsten Tag zugestellt? b) sind mindestens sechs Briefe am nächsten Tag zugestellt?

Joan measured the heights of students in four different classes. She drew a cumulative frequency graph and a box plot for each class.
Match each cumulative frequency graph to its box plot. (2 marks) $A=$ $\square$ o $B=$ $\square$ - $C=$ $\square$ $8 D=$ $\square$

22. In einer Sendung von 80 Batterien befinden sich 10 defekte. Mit welcher Wahrscheinlichkeit enthält eine Stichprobe von 5 Batterien genau eine $\qquad$ defekte Batterie? höchstens 4, $\qquad$

Time left 0:26:
Find the mode(s) for the given sample data: 20, 21, 46, 21, 49, 21, 49 32.4 49 21 46

estion 16 Time left 0:13:34
Given that $S_{x}^{2}=400, S_{y}^{2}=484, S_{x y}=350$ , and $n=10$ , the correlation coefficient is: 0.50 0.181 0.141 0.70 0.80 Next question

The following map shows the job growth rates for each state in the US. Use the map to determine how many states had between $2.5 \%$ and $6.9 \%$ job growth.
Job Growth By State

Entry-level salaries for a variety of professions are shown in the pie chart. What percentage of salaries were below $\$ 21,000$ ?
Entry-Level Salaries

An unfair coin has probability 0.4 of landing heads. The coin is tossed five times. What is the probability that it lands heads at least once? Round the answer to four decimal places. $P($ Lands heads at least once $)=$ $\square$

Select the domain and range of the function. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 1 & 4 \\ \hline 3 & 1 \\ \hline 5 & -2 \\ \hline-1 & 7 \\ \hline \end{tabular} domain: Choose... range: Choose...