You may need to use the appropriate appendix table or technology to answer this question. A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. 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 n terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below. Supermarket 2 n₂ = 300 x₂ = 82 (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 , the population mean satisfaction score for Supermarket 1's customers, and let #₂ = the population mean satisfaction score for Supermarket 2's customers. Enter != for as needed.) μl μ2=0 ul! = μ? Ho Supermarket 1 n₁ = 280 x₁ = 83 H: X X (b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test. Calculate the test statistic. (Use #₂ - #₂. Round your answer to two decimal places.) 1.16 x Report the p-value. (Round your answer to four decimal places.) p-value 2460 x At a 0.05 level of significance what is your conclusion? O Reject Ho is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Do not reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. O Reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. O Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. 415 PM
You may need to use the appropriate appendix table or technology to answer this question. A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. 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 n terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below. Supermarket 2 n₂ = 300 x₂ = 82 (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 , the population mean satisfaction score for Supermarket 1's customers, and let #₂ = the population mean satisfaction score for Supermarket 2's customers. Enter != for as needed.) μl μ2=0 ul! = μ? Ho Supermarket 1 n₁ = 280 x₁ = 83 H: X X (b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test. Calculate the test statistic. (Use #₂ - #₂. Round your answer to two decimal places.) 1.16 x Report the p-value. (Round your answer to four decimal places.) p-value 2460 x At a 0.05 level of significance what is your conclusion? O Reject Ho is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Do not reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. O Reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. O Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. 415 PM
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question.
A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. 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. Suppose sample data representative of independent samples of two supermarkets' customers are shown below.
esc
Ho:
Ha
Supermarket 1
n1 = 280
66°F
Partly sunny
X1
?
=
(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 μ₁
Supermarket 1's customers, and let μ₂ = the population mean satisfaction score for Supermarket 2's customers. Enter != for # as needed.)
= 83
μ1 – μ2 = 0
μ1! = μ2
Supermarket 2
f2
X
(b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test.
Calculate the test statistic. (Use µ₁-₂. Round your answer to two decimal places.)
1.16
x
Report the p-value. (Round your answer to four decimal places.)
p-value = 2460
X
At a 0.05 level of significance what is your conclusion?
Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.
Do not reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.
O Reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.
Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.
f3
X
#
= 300
n2=
x₂ = = 82
Which rataller if either appears to have the prostor customer C
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11
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4:15 PM
10/9/2022
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