Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers. Each survey respondent is asked to rate a specified retailer in terms of six factors: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all six factors. Sample data representative of independent samples of Target and Walmart customers are shown below. Target Walmart n, = 25 X = 79 n = 30 I, = 71 a. Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. b. Assume that experience with the Consumer Reports satisfaction rating scale indicates that a population standard deviation of 12 is a reasonable assumption for both retailers. Conduct the hypothesis test and report the p-value. At a 0.05 level of significance, what is your conclusion? c. Which retailer, if either, appears to have the greater customer satisfaction? Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers.
Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers. Each survey respondent is asked to rate a specified retailer in terms of six factors: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all six factors. Sample data representative of independent samples of Target and Walmart customers are shown below. Target Walmart n, = 25 X = 79 n = 30 I, = 71 a. Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. b. Assume that experience with the Consumer Reports satisfaction rating scale indicates that a population standard deviation of 12 is a reasonable assumption for both retailers. Conduct the hypothesis test and report the p-value. At a 0.05 level of significance, what is your conclusion? c. Which retailer, if either, appears to have the greater customer satisfaction? Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest
retailers. Each survey respondent is asked to rate a specified retailer in terms of six factors: quality of
products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score
summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in
terms of all six factors. Sample data representative of independent samples of Target and Walmart
customers are shown below.
Target
Walmart
n, = 25
x, = 79
n2 = 30
I, = 71
a. Formulate the null and alternative hypotheses to test whether there is a difference between the
population mean customer satisfaction scores for the two retailers.
b. Assume that experience with the Consumer Reports satisfaction rating scale indicates that a population
standard deviation of 12 is a reasonable assumption for both retailers. Conduct the hypothesis test and
report the p-value. At a 0.05 level of significance, what is your conclusion?
c. Which retailer, if either, appears to have the greater customer satisfaction? Provide a 95% confidence
interval for the difference between the population mean customer satisfaction scores for the two
retailers.
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