Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets (Consumer Reports website). Each survey respondent is asked to rate a specified supermarket based on a variety of factors such as 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 factors. Sample data representative of independent samples of Publix and Trader Joe's customers are shown below. Excel File: data10-07.xlsx Publix Trader Joe's n1 = 250 #1= 86 na = 300 E - 85 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. Ho : 41 - Ha equal to 0 Ha: 41 - 2 not equal to 0 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. p-value - .998 O (to 3 decimals) At a 0.05 level of significance what is your conclusion? I. Reject Ho. There is not sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. II. Do not reject Họ. There is not sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. III. Reject Ho. There is sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. IV. Do not reject Họ. There is sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. III c. Which retailer, if either, appears to have the greater customer satisfaction? Publix Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. Enter negative values as negative numbers, if any. to O (to 2 decimals)
Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets (Consumer Reports website). Each survey respondent is asked to rate a specified supermarket based on a variety of factors such as 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 factors. Sample data representative of independent samples of Publix and Trader Joe's customers are shown below. Excel File: data10-07.xlsx Publix Trader Joe's n1 = 250 #1= 86 na = 300 E - 85 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. Ho : 41 - Ha equal to 0 Ha: 41 - 2 not equal to 0 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. p-value - .998 O (to 3 decimals) At a 0.05 level of significance what is your conclusion? I. Reject Ho. There is not sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. II. Do not reject Họ. There is not sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. III. Reject Ho. There is sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. IV. Do not reject Họ. There is sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. III c. Which retailer, if either, appears to have the greater customer satisfaction? Publix Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. Enter negative values as negative numbers, if any. to O (to 2 decimals)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 36PPS
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Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets (Consumer Reports website). Each survey respondent is asked to rate a specified supermarket based on a variety of
factors such as 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 factors. Sample data representative of independent samples of Publix and Trader Joe's customers are shown below.
Excel File: data10-07.xlsx
Publix
Trader Joe's
n1 = 250
n2 = 300
E = 86
E2 = 85
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.
Ho : 41 - H2 equal to 0
Ha : 41 - 42
not equal to 0
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.
p-value =
998 O (to 3 decimals)
At a 0.05 level of significance what is your conclusion?
I. Reject Ho. There is not sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers.
II. Do not reject Ho. There is not sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers.
III. Reject Hn. There is sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers.
IV. Do not reject Ho. There is sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers.
III
c. Which retailer, if either, appears to have the greater customer satisfaction?
Publix
Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. Enter negative values as negative numbers, if any.
to
O (to 2 decimals)
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