Consumer report 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 factor: quality of products, selection, value, check out efficiency, service and store layout . Any 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 respresentative of independeent samples of Target and Walmart customers are show below. Target Walmart n - 25 n = 30 mean = 79 mean = 71 part a Formulate the null and alternative hypoteses to test whether there is a difference between the population mean customer satisfactions scores for the two retailers part b Assume that experience with the Consumer Reports satisfaction rating scale indicates that a sample standard deviation of 12 is a reasonable assumption for both retailers. Conduct hypothesis test and report the p-values. At a 0.05 level of significance what is your conclusion? part c Which retailer, if either, appears to have the greater customer satisfaction? Provide a 95% confidence interval for

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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Consumer report 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 factor: quality of products, selection, value, check out efficiency, service and store layout . Any 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 respresentative of independeent samples of Target and Walmart customers are show below.


Target	Walmart
n - 25	n = 30
mean = 79	mean = 71

part a
Formulate the null and alternative hypoteses to test whether there is a difference between the population mean customer satisfactions scores for the two retailers


part b
Assume that experience with the Consumer Reports satisfaction rating scale indicates that a sample standard deviation of 12 is a reasonable assumption for both retailers. Conduct hypothesis test and report the p-values. At a 0.05 level of significance what is your conclusion?




part c
Which retailer, if either, appears to have the greater customer satisfaction? Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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