Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. \[\begin{array} { l c c } & \text { Male } & \text { Female } \\ \text { Sample Size } & 64 & 36 \\ \text { Sample Mean Salary in } \$ 1,000) & 44 & 41 \\ \text { Population Variance } \sigma^{2} \text { ) } & 128 & 72 \end{array}\] -Refer to Exhibit 10-1. At 95% confidence, the conclusion is the

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) None of these alternatives is correct. 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) None of these alternatives is correct.

In order to determine whether or not a special tutoring service improves the scores of students in a Business Statistics examination, a sample of 6 students were given the exam before and after using the tutorial service. The results are shown below. Let d = Score After - Score Before. \[\begin{array} { | c | c | c | c | c| } \hline \text { Student } & \text { Scare Befora } & \text { Scare After } & & \\ \hline \text { A } & 80 & 84 \\ \hline \text { B } & 82 & 86 \\ \hline \text { C } & 75 & 82 \\ \hline \text { D } & 78 & 83 \\ \hline \text { E } & 90 & 95 \\ \hline \text { F } & 85 & 84 \\ \hline \end{array}\] At α = 0.10, test to see if the tutorial service actually increased scores on the examination.

Ho: μd ≤ 0 Ha: μd > 0 critical

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. \[\begin{array} { l c c } & \text { Male } & \text { Female } \\ \text { Sample Size } & 64 & 36 \\ \text { Sample Mean Salary in } \$ 1,000) & 44 & 41 \\ \text { Population Variance } \sigma^{2} \text { ) } & 128 & 72 \end{array}\] -Refer to Exhibit 10-1. The 95% confidence interval for the difference between the means of the two populations is

A) 0 to 6.92 B) -2 to 2 C) -1.96 to 1.96 D) -0.92 to 6.92 A) 0 to 6.92 B) -2 to 2 C) -1.96 to 1.96 D) -0.92 to 6.92

Exhibit 10-14 The following is part of an ANOVA table that was obtained from data regarding three treatments and a total of 15 observations. \[\begin{array} { l c c } \begin{array} { l } \text { Source of } \\ \text { Variation } \end{array} & \begin{array} { c } \text { Sum of } \\ \text { Squares } \end{array} & \begin{array} { c } \text { Degrees of } \\ \text { Freedom } \end{array} \\ \text { Between Treatments } & 64 & \\ \text { Error Within Treatments) } & 96 & \end{array}\] -Refer to Exhibit 10-14. The computed test statistics is

A) 32 B) 8 C) 0.667 D) 4 A) 32 B) 8 C) 0.667 D) 4

Exhibit 10-12 \[\begin{array} { l c c c c } \begin{array} { l } \text { Source of } \\ \text { Variation } \end{array} & \begin{array} { c } \text { Sum of } \\ \text { Squares } \end{array} & \begin{array} { c } \text { Degrees of } \\ \text { Freedom } \end{array} & \begin{array} { c } \text { Mean } \\ \text { Square } \end{array} & \text { F } \\ \begin{array} { l } \text { Setween Treatments } \\ \text { Within Treatments Error) } \end{array} & 180 & 3 & \\ \text { TOTAL } & 480 & 18 & \end{array}\] -Refer to Exhibit 10-12. The mean square within treatments MSE) is

A) 60 B) 15 C) 300 D) 20 A) 60 B) 15 C) 300 D) 20

MNM, Inc. has three stores located in three different areas. Random samples of the daily sales of the three stores in $1,000) are shown below. \[\begin{array} { c c c } \text { Store 1 } & \text { Store 2 } & \text { Store 3 } \\ 9 & 10 & 6 \\ 8 & 11 & 7 \\ 7 & 10 & 8 \\ 8 & 13 & 11 \end{array}\] At 95% confidence, test to see if there is a significant difference in the average sales of the three stores. Use both the critical and p-value approaches.

The answer of MNM, Inc. has three stores located in...

Exhibit 10-3 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. \[\begin{array}{l} & \text { Today } & \text { Five Years Ago } \\ \overline { \mathrm { x } } & 82.0 & 88 \\ \sigma ^ { 2 } & 112.5 & 54 \\ \mathrm { n } & 45.0 & 36 \end{array}\] \[\begin{array}{cc} \text { Today } & \text { Five Years Ago }\\ 82.0 & 88 \\ 112.5 & 54 \\ 45.0 & 36 \end{array}\] $\begin{array}{cc} \text { Today }&\text { Five Years Ago }\\ 82.0 & 88 \\ 112.5 & 54 \\ 45.0 & 36 \end{array}$ n -Refer to Exhibit 10-3. The point estimate for the difference between the means of the two populations is

A) 58.5 B) 9 C) -9 D) -6 A) 58.5 B) 9 C) -9 D) -6

Exam 10: Comparisons Involving Means, Experimental Design, and Analysis of Variance

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary in \ 1,000) 44 41 Population Variance ) 128 72 -Refer to Exhibit 10-1. At 95% confidence, the conclusion is the

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Question 61

In order to determine whether or not a special tutoring service improves the scores of students in a Business Statistics examination, a sample of 6 students were given the exam before and after using the tutorial service. The results are shown below. Let d = Score After - Score Before. Student Scare Befora Scare After A 80 84 B 82 86 C 75 82 D 78 83 E 90 95 F 85 84 At α = 0.10, test to see if the tutorial service actually increased scores on the examination.

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Question 62

A random sample of 89 tourists in Chattanooga showed that they spent an average of $2,860 in a week) with a standard deviation of $126; and a sample of 64 tourists in Orlando showed that they spent an average of $2,935 in a week) with a standard deviation of $138. We are interested in determining if there is any significant difference between the average expenditures of those who visited the two cities? a. Determine the degrees of freedom for this test. b. Compute the test statistic. c. Compute the p-value. d. What is your conclusion? Let α = .05.

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Question 63

Exhibit 10-6 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 -Refer to Exhibit 10-6. At 95% confidence, the margin of error is

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Question 64

In ANOVA, which of the following is not affected by whether or not the population means are equal?

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Question 65

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary in \ 1,000) 44 41 Population Variance ) 128 72 -Refer to Exhibit 10-1. The 95% confidence interval for the difference between the means of the two populations is

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Question 66

If a hypothesis is rejected at 95% confidence, it

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Question 67

Samples were taken from the morning AM) and the afternoon PM) shifts of a production process. The results are shown below. 1) AM Shift 2) PM Shift Sample Size 900 800 Sample Mean 810 600 Population Variance 144 196 Determine the following for the above data. a. Standard error of the mean b. Point estimate of the difference between the two means. c. Develop a 97% confidence interval estimate for the difference between the two means.

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Question 68

In an analysis of variance where the total sample size for the experiment is nT and the number of populations is K, the mean square within treatments is

(Multiple Choice)

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Question 69

In a one tail upper bound) hypothesis test, the critical value of Z has been 2 and the test statistic has been 1.96. In this situation,

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Question 70

Exhibit 10-14 The following is part of an ANOVA table that was obtained from data regarding three treatments and a total of 15 observations. Source of Variation Sum of Squares Degrees of Freedom Between Treatments 64 Error Within Treatments) 96 -Refer to Exhibit 10-14. The computed test statistics is

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Question 71

Exhibit 10-9 Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG miles per gallon) of the 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 show the results of the test. 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 -Refer to Exhibit 10-9. The mean for the differences is

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Question 72

In the ANOVA, treatment refers to

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Question 73

Exhibit 10-12 Source of Variation Sum of Squares Degrees of Freedom Mean Square F Setween Treatments Within Treatments Error) 180 3 TOTAL 480 18 -Refer to Exhibit 10-12. The mean square within treatments MSE) is

(Multiple Choice)

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Question 74

MNM, Inc. has three stores located in three different areas. Random samples of the daily sales of the three stores in $1,000) are shown below. Store 1 Store 2 Store 3 9 10 6 8 11 7 7 10 8 8 13 11 At 95% confidence, test to see if there is a significant difference in the average sales of the three stores. Use both the critical and p-value approaches.

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Question 75

An ANOVA procedure is used for data obtained from five populations. five samples, each comprised of 20 observations, were taken from the five populations. The numerator and denominator respectively) degrees of freedom for the critical value of F are

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Question 76

Exhibit 10-3 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 82.0 88 112.5 54 45.0 36 Today Five Years Ago 82.0 88 112.5 54 45.0 36 Today Five Years Ago 82.0 88 112.5 54 45.0 36 n -Refer to Exhibit 10-3. The point estimate for the difference between the means of the two populations is

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Question 77

A term that means the same as the term "variable" in an ANOVA procedure is

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Question 78

Independent random samples taken at two companies provided the following information regarding annual salaries of the employees. Company A Company B Sample Size 72 50 Sample Mean in \ 1,000) 48 43 Population Standard Deviation in \ 1,000) 12 10 a. We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies. Compute the test statistic. b. Compute the p-value; and at 95% confidence, test the hypotheses.

(Short Answer)

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Question 79

Exhibit 10-11 In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments a total of 65 observations). The following information is provided. SSTR = 200 Sum Square Between Treatments) SST = 800 Total Sum Square) -Refer to Exhibit 10-11. The mean square within treatments MSE) is

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Question 80

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary in \ 1,000) 44 41 Population Variance ) 128 72 -Refer to Exhibit 10-1. At 95% confidence, the conclusion is the

In ANOVA, which of the following is not affected by whether or not the population means are equal?

If a hypothesis is rejected at 95% confidence, it

In an analysis of variance where the total sample size for the experiment is nT and the number of populations is K, the mean square within treatments is

In a one tail upper bound) hypothesis test, the critical value of Z has been 2 and the test statistic has been 1.96. In this situation,

In the ANOVA, treatment refers to

Exhibit 10-12 Source of Variation Sum of Squares Degrees of Freedom Mean Square F Setween Treatments Within Treatments Error) 180 3 TOTAL 480 18 -Refer to Exhibit 10-12. The mean square within treatments MSE) is

An ANOVA procedure is used for data obtained from five populations. five samples, each comprised of 20 observations, were taken from the five populations. The numerator and denominator respectively) degrees of freedom for the critical value of F are

A term that means the same as the term "variable" in an ANOVA procedure is

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