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. Supermarket 1 n₁ = 280 x₁ = 83 (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 = 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 Ho: H: Supermarket 2 n₂ = 300 x₂ = 82 μ1!= µ2 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 H, H₂. 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?
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. Supermarket 1 n₁ = 280 x₁ = 83 (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 = 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 Ho: H: Supermarket 2 n₂ = 300 x₂ = 82 μ1!= µ2 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 H, H₂. 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?
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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The sample size for supermarket 1 is 280, sample mean is 83 and sample size for supermarket 2 is 300 and sample mean is 82.
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