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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 #₁ - #₂. Round your answer to two decimal places.) 86 Report the p-value. (Round your answer to four decimal places.) p-value = 3900 At a 0.05 level of significance what is your conclusion? O 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 He: There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.

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 #₁ - #₂. Round your answer to two decimal places.) 86 Report the p-value. (Round your answer to four decimal places.) p-value = 3900 At a 0.05 level of significance what is your conclusion? O 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 He: There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.

MATLAB: An Introduction with Applications
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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Part c please 

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 57°F Clear Ho: Ha fi Supermarket 1 n₁ = 280 X1 P (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 the population mean satisfaction score for Supermarket 1's customers, and let μ₂ = the population mean satisfaction score for Supermarket 2's customers. Enter != for ‡ as needed.) μl ? = 83 μl! = 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 ₁-2. Round your answer to two decimal places.) 86 @ 2 X f3 7₂ Report the p-value. (Round your answer to four decimal places.) p-value .3900 = 300 At a 0.05 level of significance what is your conclusion? O 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. O Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. (c) Which retailer, if either, appears to have the greater customer satisfaction? # = 82 x₂ = 3 20 $ 4 f5 40 % 5 f6 4- 6 f7 4+ & 7 18 IAA * 8 wa DII hp f10 DDI f12 insert 4 prt sc .. ← 8 . S ● delete backspace C 404 1.8 home num lock end 8:37 PM 10/9/2022 pg up *** *** SE SUGE pg dn
Transcribed Image Text: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 57°F Clear Ho: Ha fi Supermarket 1 n₁ = 280 X1 P (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 the population mean satisfaction score for Supermarket 1's customers, and let μ₂ = the population mean satisfaction score for Supermarket 2's customers. Enter != for ‡ as needed.) μl ? = 83 μl! = 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 ₁-2. Round your answer to two decimal places.) 86 @ 2 X f3 7₂ Report the p-value. (Round your answer to four decimal places.) p-value .3900 = 300 At a 0.05 level of significance what is your conclusion? O 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. O Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. (c) Which retailer, if either, appears to have the greater customer satisfaction? # = 82 x₂ = 3 20 $ 4 f5 40 % 5 f6 4- 6 f7 4+ & 7 18 IAA * 8 wa DII hp f10 DDI f12 insert 4 prt sc .. ← 8 . S ● delete backspace C 404 1.8 home num lock end 8:37 PM 10/9/2022 pg up *** *** SE SUGE pg dn
(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 = the population mean satisfaction score for Supermarket 1's customers, and let 1₂ = the population mean satisfaction score for Supermarket 2's customers. Enter != for # as needed.) Ho: 57°F Clear Ha μl μ1! = μ2 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 - H2. Round your answer to two decimal places.) 86 X Report the p-value. (Round your answer to four decimal places.) p-value = 3900 At a 0.05 level of significance what is your conclusion? O 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. O Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. (c) Which retailer, if either, appears to have the greater customer satisfaction? O Supermarket 1 O Supermarket 2 neither to Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. (Use X₁ X₂. Round your answers to two decimal places.) M hp f11 f12 - W prt sc R C 4 delete 434 home *** end 8:37 PM 10/9/2022 pg up
Transcribed Image Text:(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 = the population mean satisfaction score for Supermarket 1's customers, and let 1₂ = the population mean satisfaction score for Supermarket 2's customers. Enter != for # as needed.) Ho: 57°F Clear Ha μl μ1! = μ2 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 - H2. Round your answer to two decimal places.) 86 X Report the p-value. (Round your answer to four decimal places.) p-value = 3900 At a 0.05 level of significance what is your conclusion? O 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. O Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. (c) Which retailer, if either, appears to have the greater customer satisfaction? O Supermarket 1 O Supermarket 2 neither to Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. (Use X₁ X₂. Round your answers to two decimal places.) M hp f11 f12 - W prt sc R C 4 delete 434 home *** end 8:37 PM 10/9/2022 pg up
Expert Solution
Step 1

Given

n1=280, n2=300 

Level of significance ɑ=0.05 

 x̄1=83, x̄2=82 

Standard deviations σ=14

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