Salary information regarding male and female employees of a large company is shown below. \[\begin{array} { l r r } & \text { Male } & \text { Female } \\ \text { Sample Size } & 64 & 36 \\ \text { Sample Mean Salary } ( \text { in } \$ 1000 ) & 44 & 41 \\ \text { Population Variance } \left( \sigma ^ { 2 } \right)& 128 & 72 \end{array}\] If you are interested in testing whether or not the population average salary of males is significantly greater than that of females, at $\alpha$ = .05, the conclusion is that the population

A) average salary of males is significantly greater than females. B) average salary of males is significantly lower than females. C) salaries of males and females are equal. D) average salary of males is greater than females cannot be proved. A) average salary of males is significantly greater than females. B) average salary of males is significantly lower than females. C) salaries of males and females are equal. D) average salary of males is greater than females cannot be proved.

Salary information regarding male and female employees of a large company is shown below. \[\begin{array} { l r r } & \text { Male } & \text { Female } \\ \text { Sample Size } & 64 & 36 \\ \text { Sample Mean Salary } ( \text { in } \$ 1000 ) & 44 & 41 \\ \text { Population Variance } \left( \sigma ^ { 2 } \right)& 128 & 72 \end{array}\] The point estimate of the difference between the means of the two populations is

A) -28. B) 3. C) 4. D) -4. A) -28. B) 3. C) 4. D) -4.

An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year.The results are shown below. $\begin{array}{ll} \text { Under Age of } 18 & \text { Over Age of } 18 \\ n_{1}=500 & n_{2}=600 \\ \text { Number of accidents }=180 & \text { Number of accidents }=150 \end{array}$ We are interested in determining if the accident proportions differ between the two age groups.Let pu represent the proportion under and po the proportion over the age of 18.The null hypothesis is

A) pu - po $\le$ 0. B) pu - po $\ge$ 0. C) pu - po $\neq$ 0. D) pu - po = 0. A) pu - po $\le$ 0. B) pu - po $\ge$ 0. C) pu - po $\neq$ 0. D) pu - po = 0.

The following information was obtained from matched samples taken from two populations.Assume the population of differences is normally distributed. $\begin{array}{lll} \text { Individual } & \text { Method 1 } & \text { Method 2 } \\ 1 & 7 & 5 \\ 2 & 5 & 9 \\ 3 & 6 & 8 \\ 4 & 7 & 7 \\ 5 & 5 & 6 \end{array}$ If the null hypothesis H0: $\mu$d = 0 is tested at the 5% level,

A) the null hypothesis should be rejected. B) the null hypothesis should not be rejected. C) the alternative hypothesis should be revised. D) the null hypothesis should be revised. A) the null hypothesis should be rejected. B) the null hypothesis should not be rejected. C) the alternative hypothesis should be revised. D) the null hypothesis should be revised.

Salary information regarding male and female employees of a large company is shown below. \[\begin{array} { l r r } & \text { Male } & \text { Female } \\ \text { Sample Size } & 64 & 36 \\ \text { Sample Mean Salary } ( \text { in } \$ 1000 ) & 44 & 41 \\ \text { Population Variance } \left( \sigma ^ { 2 } \right)& 128 & 72 \end{array}\] The standard error of the difference between the two sample means is

A) 4. B) 7.46. C) 4.24. D) 2.0. A) 4. B) 7.46. C) 4.24. D) 2.0.

The following information was obtained from matched samples taken from two populations.Assume the population of differences is normally distributed. $\begin{array}{lll} \text { Individual } & \text { Method 1 } & \text { Method 2 } \\ 1 & 7 & 5 \\ 2 & 5 & 9 \\ 3 & 6 & 8 \\ 4 & 7 & 7 \\ 5 & 5 & 6 \end{array}$ The null hypothesis tested is H0: $\mu$d = 0.The test statistic for the difference between the two population means is

A) 2. B) 0. C) -1. D) -2. A) 2. B) 0. C) -1. D) -2.

An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year.The results are shown below. $\begin{array}{ll} \text { Under Age of } 18 & \text { Over Age of } 18 \\ n_{1}=500 & n_{2}=600 \\ \text { Number of accidents }=180 & \text { Number of accidents }=150 \end{array}$ We are interested in determining if the accident proportions differ between the two age groups.The p-value is

A) less than .001. B) more than .10. C) .0228. D) .3. A) less than .001. B) more than .10. C) .0228. D) .3.

The results of a recent poll on the preference of shoppers regarding two products are shown below. \[\begin{array} { l l l } \text { Product } & \text { Shoppers Surveyed } & \text { Shoppers Favoring } \\ & & \text { This Product } \\ \text { A } & 800 & 560 \\ \text { B } &900 & 612 \end{array}\] The 95% confidence interval estimate for the difference between the populations favoring the products is

A) -.024 to .064. B) .6 to .7. C) -.024 to .7. D) .046 to .066. A) -.024 to .064. B) .6 to .7. C) -.024 to .7. D) .046 to .066.

Salary information regarding male and female employees of a large company is shown below. \[\begin{array} { l r r } & \text { Male } & \text { Female } \\ \text { Sample Size } & 64 & 36 \\ \text { Sample Mean Salary } ( \text { in } \$ 1000 ) & 44 & 41 \\ \text { Population Variance } \left( \sigma ^ { 2 } \right)& 128 & 72 \end{array}\] If you are interested in testing whether or not the population average salary of males is significantly greater than that of females, the p-value is

A) .0668. B) .0334. C) .1336. D) .9332. A) .0668. B) .0334. C) .1336. D) .9332.

The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below. $\begin{array}{lll} \text { Music Type } & \text { Teenagers Surveyed } & \text { Teenagers Favoring } \\ &&\text { Phis Typ e } \\ \text { Pop } & 800 & 384 \\ \text { Rap } & 900 & 450 \end{array}$ The point estimate of the difference between the two population proportions is

A) -.02. B) .048. C) .52. D) -.5. A) -.02. B) .048. C) .52. D) -.5.

The following information was obtained from independent random samples taken of two populations. Assume normally distributed populations with equal variances. \[\begin{array} { l l l } & \text { Sample 1 } & \text { Sample 2 } \\ \text { Sample Mean } & 45 & 42 \\ \text { Sample Variance } & 85 & 90 \\ \text { Sample Size } & 10 & 12 \end{array}\] The standard error of $\bar { x } _ { 1 }$ - $\bar { x } _ { 2 }$ is

A) 3.0. B) 4. C) 8.372. D) 19.48. A) 3.0. B) 4. C) 8.372. D) 19.48.

The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card.You are given the following information. \[\begin{array} { l l l } & \text { Store's Card } & \text { Major Credit Card } \\ \text { Sample size } & 64 & 49 \\ \text { Sample mean } & \$ 140 & \$ 125 \\ \text { Population standard deviation } & \$ 10 & \$ 8 \end{array}\] A point estimate for the difference between the mean purchases of all users of the two credit cards is

A) 2. B) 18. C) 265. D) 15. A) 2. B) 18. C) 265. D) 15.

Exam 10: Inference About Means and Proportions With Two Populations

Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary ( in \ 1000) 44 41 Population Variance 128 72 If you are interested in testing whether or not the population average salary of males is significantly greater than that of females, at $\alpha$ = .05, the conclusion is that the population

(Multiple Choice)

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Question 41

Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary ( in \ 1000) 44 41 Population Variance 128 72 The point estimate of the difference between the means of the two populations is

(Multiple Choice)

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Question 42

An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year.The results are shown below. Under Age of 18 Over Age of 18 =500 =600 Number of accidents =180 Number of accidents =150 We are interested in determining if the accident proportions differ between the two age groups.Let p_u represent the proportion under and p_o the proportion over the age of 18.The null hypothesis is

(Multiple Choice)

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Question 43

The following information was obtained from matched samples taken from two populations.Assume the population of differences is normally distributed. Individual Method 1 Method 2 1 7 5 2 5 9 3 6 8 4 7 7 5 5 6 If the null hypothesis H₀: $\mu$ d = 0 is tested at the 5% level,

(Multiple Choice)

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Question 44

Of the two production methods, a company wants to identify the method with the smaller population mean completion time.One sample of workers is selected and each worker first uses one method and then uses the other method.The sampling procedure being used to collect completion time data is based on

(Multiple Choice)

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Question 45

To compute an interval estimate for the difference between the means of two populations, the t distribution

(Multiple Choice)

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Question 46

Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary ( in \ 1000) 44 41 Population Variance 128 72 The standard error of the difference between the two sample means is

(Multiple Choice)

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Question 47

The following information was obtained from matched samples taken from two populations.Assume the population of differences is normally distributed. Individual Method 1 Method 2 1 7 5 2 5 9 3 6 8 4 7 7 5 5 6 The null hypothesis tested is H₀: $\mu$ d = 0.The test statistic for the difference between the two population means is

(Multiple Choice)

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Question 48

The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card.You are given the following information. Store's Card Major Credit Card Sample size 64 49 Sample mean \ 140 \ 125 Population standard deviation \ 10 \ 8 At 95% confidence, the margin of error is

(Multiple Choice)

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Question 49

An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year.The results are shown below. Under Age of 18 Over Age of 18 =500 =600 Number of accidents =180 Number of accidents =150 We are interested in determining if the accident proportions differ between the two age groups.The p-value is

(Multiple Choice)

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Question 50

To construct an interval estimate for the difference between the means of two populations when the standard deviations of the two populations are unknown and it can be assumed the two populations have equal variances, we must use a t distribution with (let n₁ be the size of sample 1 and n₂ the size of sample 2)

(Multiple Choice)

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Question 51

Two major automobile manufacturers have produced compact cars with engines of the same size.We are interested in determining whether or not there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance.The following data (in miles per gallon) show the results of the test.Assume the population of differences is normally distributed. Driver Manufacturer A Manufacturer B 1 32 28 2 27 22 3 26 27 4 26 24 5 25 24 6 29 25 7 31 28 8 25 27 The test statistic is

(Multiple Choice)

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Question 52

A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago.A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken.You are given the following information. Today Five Y ears Ago 82 88 112.5 54 45 36 The 95% confidence interval for the difference between the two population means is

(Multiple Choice)

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Question 53

The results of a recent poll on the preference of shoppers regarding two products are shown below. Product Shoppers Surveyed Shoppers Favoring This Product A 800 560 B 900 612 The 95% confidence interval estimate for the difference between the populations favoring the products is

(Multiple Choice)

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Question 54

Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary ( in \ 1000) 44 41 Population Variance 128 72 If you are interested in testing whether or not the population average salary of males is significantly greater than that of females, the p-value is

(Multiple Choice)

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Question 55

Two independent simple random samples are taken to test the difference between the means of two populations whose variances are not known, but are assumed to be equal.The sample sizes are n₁ = 32 and n₂ = 40.The correct distribution to use is the

(Multiple Choice)

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Question 56

The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below. Music Type Teenagers Surveyed Teenagers Favoring Phis Typ e Pop 800 384 Rap 900 450 The point estimate of the difference between the two population proportions is

(Multiple Choice)

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Question 57

A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago.A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken.You are given the following information. Today Five Years Ago 82 88 112.5 54 n 45 36 The test statistic for the difference between the two population means is

(Multiple Choice)

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Question 58

The following information was obtained from independent random samples taken of two populations. Assume normally distributed populations with equal variances. Sample 1 Sample 2 Sample Mean 45 42 Sample Variance 85 90 Sample Size 10 12 The standard error of $\bar { x } _ { 1 }$ - $\bar { x } _ { 2 }$ is

(Multiple Choice)

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Question 59

The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card.You are given the following information. Store's Card Major Credit Card Sample size 64 49 Sample mean \ 140 \ 125 Population standard deviation \ 10 \ 8 A point estimate for the difference between the mean purchases of all users of the two credit cards is

(Multiple Choice)

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Question 60

Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary ( in \ 1000) 44 41 Population Variance 128 72 The point estimate of the difference between the means of the two populations is

The following information was obtained from matched samples taken from two populations.Assume the population of differences is normally distributed. Individual Method 1 Method 2 1 7 5 2 5 9 3 6 8 4 7 7 5 5 6 If the null hypothesis H₀: $\mu$ d = 0 is tested at the 5% level,

Of the two production methods, a company wants to identify the method with the smaller population mean completion time.One sample of workers is selected and each worker first uses one method and then uses the other method.The sampling procedure being used to collect completion time data is based on

To compute an interval estimate for the difference between the means of two populations, the t distribution

Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary ( in \ 1000) 44 41 Population Variance 128 72 The standard error of the difference between the two sample means is

The results of a recent poll on the preference of shoppers regarding two products are shown below. Product Shoppers Surveyed Shoppers Favoring This Product A 800 560 B 900 612 The 95% confidence interval estimate for the difference between the populations favoring the products is

Two independent simple random samples are taken to test the difference between the means of two populations whose variances are not known, but are assumed to be equal.The sample sizes are n₁ = 32 and n₂ = 40.The correct distribution to use is the

The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below. Music Type Teenagers Surveyed Teenagers Favoring Phis Typ e Pop 800 384 Rap 900 450 The point estimate of the difference between the two population proportions is

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

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Exam 10: Inference About Means and Proportions With Two Populations

Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary ( in \ 1000) 44 41 Population Variance 128 72 The point estimate of the difference between the means of the two populations is

The following information was obtained from matched samples taken from two populations.Assume the population of differences is normally distributed. Individual Method 1 Method 2 1 7 5 2 5 9 3 6 8 4 7 7 5 5 6 If the null hypothesis H0: μ\muμ d = 0 is tested at the 5% level,

To compute an interval estimate for the difference between the means of two populations, the t distribution

Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary ( in \ 1000) 44 41 Population Variance 128 72 The standard error of the difference between the two sample means is

The results of a recent poll on the preference of shoppers regarding two products are shown below. Product Shoppers Surveyed Shoppers Favoring This Product A 800 560 B 900 612 The 95% confidence interval estimate for the difference between the populations favoring the products is

Two independent simple random samples are taken to test the difference between the means of two populations whose variances are not known, but are assumed to be equal.The sample sizes are n1 = 32 and n2 = 40.The correct distribution to use is the

The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below. Music Type Teenagers Surveyed Teenagers Favoring Phis Typ e Pop 800 384 Rap 900 450 The point estimate of the difference between the two population proportions is

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

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The following information was obtained from matched samples taken from two populations.Assume the population of differences is normally distributed. Individual Method 1 Method 2 1 7 5 2 5 9 3 6 8 4 7 7 5 5 6 If the null hypothesis H₀: $\mu$ d = 0 is tested at the 5% level,

Two independent simple random samples are taken to test the difference between the means of two populations whose variances are not known, but are assumed to be equal.The sample sizes are n₁ = 32 and n₂ = 40.The correct distribution to use is the