SCENARIO 10-13 The amount of time required to reach a customer service representative has a huge impact on customer satisfaction.Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels.Assume that the population variances in the amount of time for the two hotels are not equal. \[\begin{array}{l} \text { t-Test: Two-Sample Assuming Unequal Variances }\\ \begin{array} { l r r } \hline & \text { Hotel 1 } & \text { Hotel 2 } \\ \hline \text { Mean } & 2.214 & 2.0115 \\ \text { Variance } & 2.951657 & 3.57855 \\ \text { Observations } & 20 & 20 \\ \text { Hypothesized Mean Difference } & 0 & \\ \text { df } & 38 & \\ \text { t Stat } & 0.354386 & \\ \text { P } ( T < = t ) \text { one-tail } & 0.362504 & \\ \text { t Critical one-tail } & 1.685953 & \\ \text { P } ( \text { T } < \text { t) two-tail } & 0.725009 & \\ \text { t Critical two-tail } & 2.024394 & \\ \hline \end{array} \end{array}\] -Referring to Scenario 10-13, what is the value of the test statistic?

A) 0.2025 B) 0.3544 C) 2.0115 D) 2.2140 A) 0.2025 B) 0.3544 C) 2.0115 D) 2.2140

SCENARIO 10-2 A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries.Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below. $\begin{array}{|l|r|} \hline \text { Hypothesized Difference } & 0 \\ \hline \text { Level of Significance } & 0.05 \\ \hline\text { Population 1 Sample }\\ \hline \text { Sample Size } & 18 \\ \hline \text { Sample Mean } & 99210 \\ \hline \text { Sample Standard Deviation } & 13577 \\ \text { Population 2 Sample } \\ \hline \text { Sample Size } & 12 \\ \hline \text { Sample Mean } & 105820 \\ \hline \text { Sample Standard Deviation } & 11741 \\\hline\\\hline \text { Difference in Sample Means } & -6610 \\ \hline t \text { Test Statistic } & -1.37631 \\\hline\\\hline {\text { Lower-Tail Test }} \\ \hline \text { Lower Critical Value } & -1.70113 \\ \hline \text { p-Value } & 0.089816 \\ \hline \end{array}$ -Referring to Scenario 10-2, the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.What assumptions were necessary to conduct this hypothesis test?

A) Both populations of salaries (male and female)must have approximate normal distributions. B) The population variances are approximately equal. C) The samples were randomly and independently selected. D) All of the above assumptions were necessary. A) Both populations of salaries (male and female)must have approximate normal distributions. B) The population variances are approximately equal. C) The samples were randomly and independently selected. D) All of the above assumptions were necessary.

SCENARIO 10-5 A hotel chain has identically small sized resorts in 5 locations in different small islands.The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations. \[\begin{array}{l} \begin{array} { l c c c c c } \text { ROW } & \text { Location A } & \text { Location B } & \text { Location C } & \text { Location D } & \text { Location E } \\ \hline 1& 28 & 40 & 21 & 37 & 22 \\ 2 & 33 & 35 & 21 & 47 & 19 \\ 3 & 41 & 33 & 27 & 45 & 25 \end{array}\\ \text { Analysis of Variance }\\ \begin{array} { l r r r c c } \hline \text { Source } & d f & \text { SS } & \text { MS } & F & p \\ \hline \text { Location } & 4 & 963.6 & & 11.47 & 0.001 \\ \text { Error } & 10 & 210.0 & & & \\ \text { Total } & & & & & \\ \hline \end{array} \end{array}\] -Referring to SCENARIO 10-5, the numerator and denominator degrees of freedom of the test ratio are and _, respectively.

The answer of SCENARIO 10-5 A hotel chain has identically small...

SCENARIO 10-4 An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants 15 fields, 5 with each variety.She then measures the crop yield in bushels per acre.Treating this as a completely randomized design, the results are presented in the table that follows. $\begin{array}{rrrr} \text { Trial}&\text { Smith}&\text { Walsh}&\text { Trevor }\\ 1 & 11.1 & 19.0 & 14.6 \\ 2 & 13.5 & 18.0 & 15.7 \\ 3 & 15.3 & 19.8 & 16.8 \\ 4 & 14.6 & 19.6 & 16.7 \\ 5 & 9.8 & 16.6 & 15.2 \end{array}$ -Referring to SCENARIO 10-4, the null hypothesis will be rejected at a level of significance of0.01 if the value of the test statistic is greater than .

The answer of SCENARIO 10-4 An agronomist wants to compare the...

SCENARIO 10-5 A hotel chain has identically small sized resorts in 5 locations in different small islands.The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations. \[\begin{array}{l} \begin{array} { l c c c c c } \text { ROW } & \text { Location A } & \text { Location B } & \text { Location C } & \text { Location D } & \text { Location E } \\ \hline 1& 28 & 40 & 21 & 37 & 22 \\ 2 & 33 & 35 & 21 & 47 & 19 \\ 3 & 41 & 33 & 27 & 45 & 25 \end{array}\\ \text { Analysis of Variance }\\ \begin{array} { l r r r c c } \hline \text { Source } & d f & \text { SS } & \text { MS } & F & p \\ \hline \text { Location } & 4 & 963.6 & & 11.47 & 0.001 \\ \text { Error } & 10 & 210.0 & & & \\ \text { Total } & & & & & \\ \hline \end{array} \end{array}\] -Referring to SCENARIO 10-5, the total variation or SST is .

The answer of SCENARIO 10-5 A hotel chain has identically small...

SCENARIO 10-9 The following EXCEL output contains the results of a test to determine whether the proportions of satisfied customers at two resorts are the same or different. \[\begin{array} { | l | r | } \hline \text { Hypothesized Difference } & 0 \\ \hline \text { Level of Significance } & 0.05 \\ \hline { \text { Group 1 } } \\ \hline \text { Number of Items of Interest } & 160 \\ \hline \text { Sample Size } & \mathbf { 2 0 0 } \\ \hline { \text { Group 2 } } \\ \hline \text { Number of Items of Interest } & 172 \\ \hline \text { Sample Size }&250 \\ \hline \\ \hline { \text { Intermediate Calculations } } \\ \hline \text { Group 1 Proportion } & 0.8 \\ \hline \text { Group 2 Proportion } &0.688\\ \hline \text { Difference in Two Proportions } &0.112 \\ \hline \text { Average Proportion } &0.737777778 \\ \hline \text { Z Test Statistic } & 2.684103363 \\ \hline \\\hline { \text { Two-Tail Test } } \\ \hline \text { Lower Critical Value } & - 1.959963985 \\ \hline \text { Upper Critical Value } & 1.959963985 \\ \hline \text { 2-tailed p-Value } & 0.007272462 \\ \hline \end{array}\] -Referring to Scenario 10-9, allowing for 1% probability of committing a Type I error, what are the decision and conclusion on testing whether there is any difference in the proportions of satisfied customers in the two resorts?

A) Do not reject the null hypothesis; there is enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two resorts. B) Do not reject the null hypothesis; there is not enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two resorts. C) Reject the null hypothesis; there is enough evidence to conclude that there is a significant difference in the proportions of satisfied guests at the two resorts. D) Reject the null hypothesis; there is not enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two resorts. A) Do not reject the null hypothesis; there is enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two resorts. B) Do not reject the null hypothesis; there is not enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two resorts. C) Reject the null hypothesis; there is enough evidence to conclude that there is a significant difference in the proportions of satisfied guests at the two resorts. D) Reject the null hypothesis; there is not enough evidence to conclude that there is significant difference in the proportions of satisfied guests at the two resorts.

SCENARIO 10-9 The following EXCEL output contains the results of a test to determine whether the proportions of satisfied customers at two resorts are the same or different. \[\begin{array} { | l | r | } \hline \text { Hypothesized Difference } & 0 \\ \hline \text { Level of Significance } & 0.05 \\ \hline { \text { Group 1 } } \\ \hline \text { Number of Items of Interest } & 160 \\ \hline \text { Sample Size } & \mathbf { 2 0 0 } \\ \hline { \text { Group 2 } } \\ \hline \text { Number of Items of Interest } & 172 \\ \hline \text { Sample Size }&250 \\ \hline \\ \hline { \text { Intermediate Calculations } } \\ \hline \text { Group 1 Proportion } & 0.8 \\ \hline \text { Group 2 Proportion } &0.688\\ \hline \text { Difference in Two Proportions } &0.112 \\ \hline \text { Average Proportion } &0.737777778 \\ \hline \text { Z Test Statistic } & 2.684103363 \\ \hline \\\hline { \text { Two-Tail Test } } \\ \hline \text { Lower Critical Value } & - 1.959963985 \\ \hline \text { Upper Critical Value } & 1.959963985 \\ \hline \text { 2-tailed p-Value } & 0.007272462 \\ \hline \end{array}\] -Referring to Scenario 10-9, if you want to test the claim that "Resort 1 (Group 1) has a higherproportion of satisfied customers compared to Resort 2 (Group 2)", the p-value of the test will be

A) 0.007272 B) 0.00727/2 C) 2*(0.00727) D) 1-(0.00727/2) A) 0.007272 B) 0.00727/2 C) 2*(0.00727) D) 1-(0.00727/2)

SCENARIO 10-1 Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures motivation for upward mobility.The SSATL scores are summarized below. \[\begin{array} { l l l } & \text { American } & \text { Japanese } \\ \text { Sample Size } & 211 & 100 \\ \text { Sample Mean SSATL Score } & 65.75 & 79.83 \\ \text { Sample Std. Dev. } & 11.07 & 6.41 \end{array}\] -Referring to Scenario 10-1, judging from the way the data were collected, which test would likely be most appropriate to employ?

A) Paired t test B) Pooled-variance t test for the difference between two means C) F test for the ratio of two variances D) Z test for the difference between two proportions A) Paired t test B) Pooled-variance t test for the difference between two means C) F test for the ratio of two variances D) Z test for the difference between two proportions

SCENARIO 10-13 The amount of time required to reach a customer service representative has a huge impact on customer satisfaction.Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels.Assume that the population variances in the amount of time for the two hotels are not equal. \[\begin{array}{l} \text { t-Test: Two-Sample Assuming Unequal Variances }\\ \begin{array} { l r r } \hline & \text { Hotel 1 } & \text { Hotel 2 } \\ \hline \text { Mean } & 2.214 & 2.0115 \\ \text { Variance } & 2.951657 & 3.57855 \\ \text { Observations } & 20 & 20 \\ \text { Hypothesized Mean Difference } & 0 & \\ \text { df } & 38 & \\ \text { t Stat } & 0.354386 & \\ \text { P } ( T < = t ) \text { one-tail } & 0.362504 & \\ \text { t Critical one-tail } & 1.685953 & \\ \text { P } ( \text { T } < \text { t) two-tail } & 0.725009 & \\ \text { t Critical two-tail } & 2.024394 & \\ \hline \end{array} \end{array}\] -Referring to Scenario 10-13, what is(are) the critical value(s) of the relevant hypothesis test if the level of significance is 0.05?

A) 1.6860 B) $\pm$ 1.6860 C) 2.0244 D) $\pm$ 2.0244 A) 1.6860 B) $\pm$ 1.6860 C) 2.0244 D) $\pm$ 2.0244

Exam 10: Two-Sample Tests

SCENARIO 10-13 The amount of time required to reach a customer service representative has a huge impact on customer satisfaction.Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels.Assume that the population variances in the amount of time for the two hotels are not equal. t-Test: Two-Sample Assuming Unequal Variances Hotel 1 Hotel 2 Mean 2.214 2.0115 Variance 2.951657 3.57855 Observations 20 20 Hypothesized Mean Difference 0 df 38 t Stat 0.354386 P (T<=t) one-tail 0.362504 t Critical one-tail 1.685953 P ( T < t) two-tail 0.725009 t Critical two-tail 2.024394 -Referring to Scenario 10-13, what is the value of the test statistic?

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Question 81

SCENARIO 10-15 The table below presents the summary statistics for the starting annual salaries (in thousands of dollars) for individuals entering the public accounting and financial planning professions. Sample I (public accounting): $\bar { X } _ { 1 } = 60.35 , S _ { 1 } = 3.25 , n _ { 1 } = 12$ Sample II (financial planning): $\bar { X } _ { 2 } = 58.20 , S _ { 2 } = 2.48 , n _ { 2 } = 14$ Test whether the mean starting annual salaries for individuals entering the public accounting professions is higher than that of financial planning assuming that the two population variances are the same. -Referring to Scenario 10-15, what is(are) the critical value(s) of the relevant hypothesis test if the level of significance is 0.10?

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Question 82

SCENARIO 10-4 Two samples each of size 25 are taken from independent populations assumed to be normally distributed with equal variances.The first sample has a mean of 35.5 and standard deviation of 3.0 while the second sample has a mean of 33.0 and standard deviation of 4.0. -Referring to Scenario 10-4, what is the 95% confidence interval estimate for the difference in the two means?

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Question 83

SCENARIO 10-2 A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries.Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below. Hypothesized Difference 0 Level of Significance 0.05 Population 1 Sample Sample Size 18 Sample Mean 99210 Sample Standard Deviation 13577 Population 2 Sample Sample Size 12 Sample Mean 105820 Sample Standard Deviation 11741 Difference in Sample Means -6610 t Test Statistic -1.37631 Lower-Tail Test Lower Critical Value -1.70113 p-Value 0.089816 -Referring to Scenario 10-2, the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates.What assumptions were necessary to conduct this hypothesis test?

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Question 84

SCENARIO 10-2 A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D).Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below. $\mathrm{A}: 1.2,1.1,0.9,0.4$ $\quad C: 1.0,1.5,1.1,1.3$ B: $2.5,2.1,1.9,1.6$ $\quad \mathrm{D}: 0.8,1.3,1.1,0.7$ Interpret the results of the analysis summarized in the following table: Source df SS MS F PR > F Neighborhoods 3.1819 1.0606 10.76 0.001 Error 12 Total 4.3644 -Referring to SCENARIO 10-2, the numerator and denominator degrees of freedom for Levene's test for homogeneity of variances at a 5% level of significance are, respectively,

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Question 85

SCENARIO 10-4 An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants 15 fields, 5 with each variety.She then measures the crop yield in bushels per acre.Treating this as a completely randomized design, the results are presented in the table that follows. Trial Smith Walsh Trevor 1 11.1 19.0 14.6 2 13.5 18.0 15.7 3 15.3 19.8 16.8 4 14.6 19.6 16.7 5 9.8 16.6 15.2 -Referring to SCENARIO 10-4, the test is valid only if the population of crop yields is normally distributed for the 3 varieties.

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Question 86

SCENARIO 10-5 A hotel chain has identically small sized resorts in 5 locations in different small islands.The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations. ROW Location A Location B Location C Location D Location E 1 28 40 21 37 22 2 33 35 21 47 19 3 41 33 27 45 25 Analysis of Variance Source df SS MS F p Location 4 963.6 11.47 0.001 Error 10 210.0 Total -Referring to SCENARIO 10-5, the numerator and denominator degrees of freedom of the test ratio are and _, respectively.

(Short Answer)

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Question 87

SCENARIO 10-15 The table below presents the summary statistics for the starting annual salaries (in thousands of dollars) for individuals entering the public accounting and financial planning professions. Sample I (public accounting): $\bar { X } _ { 1 } = 60.35 , S _ { 1 } = 3.25 , n _ { 1 } = 12$ Sample II (financial planning): $\bar { X } _ { 2 } = 58.20 , S _ { 2 } = 2.48 , n _ { 2 } = 14$ Test whether the mean starting annual salaries for individuals entering the public accounting professions is higher than that of financial planning assuming that the two population variances are the same. -Referring to Scenario 10-15, what is(are) the critical value(s) of the relevant hypothesis test if the level of significance is 0.05?

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Question 88

SCENARIO 10-3 A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis.Assume that the two population variances are equal.A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes. $SCENARIO 10-3 A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis.Assume that the two population variances are equal.A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes. Gotham: \bar { X } _ { \mathrm { G } } = 35 \text { months, } \quad S _ { \mathrm { G } } { } ^ { 2 } = 900 \quad \text { Metropolis: } \quad \bar { X } _ { \mathrm { M } } = 50 \text { months, } \mathrm { S } _ { \mathrm { M } } { } ^ { 2 } = 1050 -Referring to Scenario 10-3, what is the estimated standard error of the difference between the 2- sample means?$ Gotham: $\bar { X } _ { \mathrm { G } } = 35 \text { months, } \quad S _ { \mathrm { G } } { } ^ { 2 } = 900 \quad \text { Metropolis: } \quad \bar { X } _ { \mathrm { M } } = 50 \text { months, } \mathrm { S } _ { \mathrm { M } } { } ^ { 2 } = 1050$ $SCENARIO 10-3 A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis.Assume that the two population variances are equal.A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes. Gotham: \bar { X } _ { \mathrm { G } } = 35 \text { months, } \quad S _ { \mathrm { G } } { } ^ { 2 } = 900 \quad \text { Metropolis: } \quad \bar { X } _ { \mathrm { M } } = 50 \text { months, } \mathrm { S } _ { \mathrm { M } } { } ^ { 2 } = 1050 -Referring to Scenario 10-3, what is the estimated standard error of the difference between the 2- sample means?$ -Referring to Scenario 10-3, what is the estimated standard error of the difference between the 2- sample means?

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Question 89

SCENARIO 10-7 A buyer for a manufacturing plant suspects that his primary supplier of raw materials is overcharging.In order to determine if his suspicion is correct, he contacts a second supplier and asks for the prices on various identical materials.He wants to compare these prices with those of his primary supplier.The data collected is presented in the table below, with some summary statistics presented (all of these might not be necessary to answer the questions which follow).The buyer believes that the differences are normally distributed and will use this sample to perform an appropriate test at a level of significance of 0.01. Material Primary Supplier Secondary Supplier Difference 1 \ 55 \ 45 \ 10 2 \ 48 \ 47 \ 1 3 \ 31 \ 32 -\ 1 4 \ 83 \ 77 \ 6 5 \ 37 \ 37 \ 0 6 \ 55 \ 54 \ 1 Sum: \ 309 \ 292 \ 17 Sum of Squares: \ 17,573 \ 15,472 \ 139 -Referring to Scenario 10-7, the calculated value of the test statistic is _.

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Question 90

A statistics professor wanted to test whether the grades on a statistics test were the same for upper and lower classmen.The professor took a random sample of size 10 from each, conducted a test and found out that the variances were equal.For this situation, the professor should use a t test with related samples.

(True/False)

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Question 91

SCENARIO 10-4 An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants 15 fields, 5 with each variety.She then measures the crop yield in bushels per acre.Treating this as a completely randomized design, the results are presented in the table that follows. Trial Smith Walsh Trevor 1 11.1 19.0 14.6 2 13.5 18.0 15.7 3 15.3 19.8 16.8 4 14.6 19.6 16.7 5 9.8 16.6 15.2 -Referring to SCENARIO 10-4, the null hypothesis will be rejected at a level of significance of0.01 if the value of the test statistic is greater than .

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Question 92

SCENARIO 10-7 A buyer for a manufacturing plant suspects that his primary supplier of raw materials is overcharging.In order to determine if his suspicion is correct, he contacts a second supplier and asks for the prices on various identical materials.He wants to compare these prices with those of his primary supplier.The data collected is presented in the table below, with some summary statistics presented (all of these might not be necessary to answer the questions which follow).The buyer believes that the differences are normally distributed and will use this sample to perform an appropriate test at a level of significance of 0.01. Material Primary Supplier Secondary Supplier Difference 1 \ 55 \ 45 \ 10 2 \ 48 \ 47 \ 1 3 \ 31 \ 32 -\ 1 4 \ 83 \ 77 \ 6 5 \ 37 \ 37 \ 0 6 \ 55 \ 54 \ 1 Sum: \ 309 \ 292 \ 17 Sum of Squares: \ 17,573 \ 15,472 \ 139 -Referring to Scenario 10-7, the null hypothesis should be rejected.

(True/False)

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Question 93

SCENARIO 10-5 A hotel chain has identically small sized resorts in 5 locations in different small islands.The data that follow resulted from analyzing the hotel occupancies on randomly selected days in the 5 locations. ROW Location A Location B Location C Location D Location E 1 28 40 21 37 22 2 33 35 21 47 19 3 41 33 27 45 25 Analysis of Variance Source df SS MS F p Location 4 963.6 11.47 0.001 Error 10 210.0 Total -Referring to SCENARIO 10-5, the total variation or SST is .

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Question 94

In a one-way ANOVA, the null hypothesis is always

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Question 95

SCENARIO 10-9 The following EXCEL output contains the results of a test to determine whether the proportions of satisfied customers at two resorts are the same or different. Hypothesized Difference 0 Level of Significance 0.05 Group 1 Number of Items of Interest 160 Sample Size Group 2 Number of Items of Interest 172 Sample Size 250 Intermediate Calculations Group 1 Proportion 0.8 Group 2 Proportion 0.688 Difference in Two Proportions 0.112 Average Proportion 0.737777778 Z Test Statistic 2.684103363 Two-Tail Test Lower Critical Value -1.959963985 Upper Critical Value 1.959963985 2-tailed p-Value 0.007272462 -Referring to Scenario 10-9, allowing for 1% probability of committing a Type I error, what are the decision and conclusion on testing whether there is any difference in the proportions of satisfied customers in the two resorts?

(Multiple Choice)

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Question 96

SCENARIO 10-9 The following EXCEL output contains the results of a test to determine whether the proportions of satisfied customers at two resorts are the same or different. Hypothesized Difference 0 Level of Significance 0.05 Group 1 Number of Items of Interest 160 Sample Size Group 2 Number of Items of Interest 172 Sample Size 250 Intermediate Calculations Group 1 Proportion 0.8 Group 2 Proportion 0.688 Difference in Two Proportions 0.112 Average Proportion 0.737777778 Z Test Statistic 2.684103363 Two-Tail Test Lower Critical Value -1.959963985 Upper Critical Value 1.959963985 2-tailed p-Value 0.007272462 -Referring to Scenario 10-9, if you want to test the claim that "Resort 1 (Group 1) has a higherproportion of satisfied customers compared to Resort 2 (Group 2)", the p-value of the test will be

(Multiple Choice)

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Question 97

SCENARIO 10-2 A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D).Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below. $\mathrm{A}: 1.2,1.1,0.9,0.4$ $\quad C: 1.0,1.5,1.1,1.3$ B: $2.5,2.1,1.9,1.6$ $\quad \mathrm{D}: 0.8,1.3,1.1,0.7$ Interpret the results of the analysis summarized in the following table: Source df SS MS F PR > F Neighborhoods 3.1819 1.0606 10.76 0.001 Error 12 Total 4.3644 -Referring to SCENARIO 10-2, the among group degrees of freedom is

(Multiple Choice)

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Question 98

SCENARIO 10-1 Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures motivation for upward mobility.The SSATL scores are summarized below. American Japanese Sample Size 211 100 Sample Mean SSATL Score 65.75 79.83 Sample Std. Dev. 11.07 6.41 -Referring to Scenario 10-1, judging from the way the data were collected, which test would likely be most appropriate to employ?

(Multiple Choice)

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Question 99

SCENARIO 10-13 The amount of time required to reach a customer service representative has a huge impact on customer satisfaction.Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels.Assume that the population variances in the amount of time for the two hotels are not equal. t-Test: Two-Sample Assuming Unequal Variances Hotel 1 Hotel 2 Mean 2.214 2.0115 Variance 2.951657 3.57855 Observations 20 20 Hypothesized Mean Difference 0 df 38 t Stat 0.354386 P (T<=t) one-tail 0.362504 t Critical one-tail 1.685953 P ( T < t) two-tail 0.725009 t Critical two-tail 2.024394 -Referring to Scenario 10-13, what is(are) the critical value(s) of the relevant hypothesis test if the level of significance is 0.05?

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Question 100

In a one-way ANOVA, the null hypothesis is always

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