A magazine 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 Retailer A and Retailer B customers are shown below. Retailer A Retailer B n1 = 25 n2 = 30 x1 = 79 x2 = 71 s1 = 13 s2 = 13.5 (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. (Let ?1 = population mean satisfaction score for Retailer A customers and ?2 = population mean satisfaction score for Retailer B customers.) H0: ?1 − ?2 ≠ 0 Ha: ?1 − ?2 = 0 H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 ≤ 0 Ha: ?1 − ?2 > 0 H0: ?1 − ?2 ≥ 0 Ha: ?1 − ?2 < 0 H0: ?1 − ?2 < 0 Ha: ?1 − ?2 = 0 (b) Conduct the hypothesis test. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = At a 0.05 level of significance what is your conclusion? Do not reject H0. There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.Reject H0. There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Do not Reject H0. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.Reject H0. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. (c) Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. (Round your answers to two decimal places.) to Which retailer, if either, appears to have the greater customer satisfaction? The 95% confidence interval zero. This suggests that the Retailer A has a population mean customer satisfaction score than Retailer B.
A magazine 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 Retailer A and Retailer B customers are shown below. Retailer A Retailer B n1 = 25 n2 = 30 x1 = 79 x2 = 71 s1 = 13 s2 = 13.5 (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. (Let ?1 = population mean satisfaction score for Retailer A customers and ?2 = population mean satisfaction score for Retailer B customers.) H0: ?1 − ?2 ≠ 0 Ha: ?1 − ?2 = 0 H0: ?1 − ?2 = 0 Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 ≤ 0 Ha: ?1 − ?2 > 0 H0: ?1 − ?2 ≥ 0 Ha: ?1 − ?2 < 0 H0: ?1 − ?2 < 0 Ha: ?1 − ?2 = 0 (b) Conduct the hypothesis test. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = At a 0.05 level of significance what is your conclusion? Do not reject H0. There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.Reject H0. There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Do not Reject H0. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.Reject H0. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. (c) Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. (Round your answers to two decimal places.) to Which retailer, if either, appears to have the greater customer satisfaction? The 95% confidence interval zero. This suggests that the Retailer A has a population mean customer satisfaction score than Retailer B.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A magazine 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 Retailer A and Retailer B customers are shown below.
Retailer A | Retailer B |
---|---|
n1 = 25
|
n2 = 30
|
x1 = 79
|
x2 = 71
|
s1 = 13
|
s2 = 13.5
|
(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. (Let ?1 = population mean satisfaction score for Retailer A customers and ?2 = population mean satisfaction score for Retailer B customers.)
H0: ?1 − ?2 ≠ 0
Ha: ?1 − ?2 = 0
H0: ?1 − ?2 = 0
Ha: ?1 − ?2 ≠ 0
H0: ?1 − ?2 ≤ 0
Ha: ?1 − ?2 > 0
H0: ?1 − ?2 ≥ 0
Ha: ?1 − ?2 < 0
H0: ?1 − ?2 < 0
Ha: ?1 − ?2 = 0
(b)
Conduct the hypothesis test.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
At a 0.05 level of significance what is your conclusion?
Do not reject H0. There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.Reject H0. There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Do not Reject H0. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.Reject H0. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.
(c)
Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. (Round your answers to two decimal places.)
to
Which retailer, if either, appears to have the greater customer satisfaction?
The 95% confidence interval zero. This suggests that the Retailer A has a population mean customer satisfaction score than Retailer B.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman