Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers (Consumer Reports, March 2012). 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 size n1 = 25 for Target and size n2 = 30 for Walmart customers give the following customer satisfaction scores' sample averages: = 79 for Target and = 71 for Walmart. You formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. Experience with the Consumer Reports satisfaction rating scale indicates that a population standard deviation of 12 is a reasonable assumption for both retailers. Use = .05. You compute the value of the test statistic. You compute the p-value and find it is equal to???. Your conclusion is to reject or not reject H0?

Name: Consumer Reports uses a survey of readers to obtain customer satisfact
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers (Consumer Reports, March 2012). Each survey respondent is asked to rate a specified retailer in terms of six factors: quality of prod

Given n1=25n2=30x¯1=79x¯2=71 Null and alternate hypothesis is- H0:μ1-μ2=0Ha:μ1-μ2≠0 Z statistic is given as- Z=(x¯1-x¯2)-(μ1-μ2)σ12n1+σ22n2Putting all the values in the formula, we get; Z=(79-71)12225+12230=85.76+4.8=810.56=83.2496=2.46184 p-value=0.0069 (using z table) Since p-value is less than 0.05, we will reject the null hypothesis(H0) and we can conclude that there is difference between population mean.

Answered: Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers (Consumer Reports, March 2012). Each survey…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

See similar textbooks

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers (Consumer Reports, March 2012). 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 size n₁ = 25 for Target and size n₂ = 30 for Walmart customers give the following customer satisfaction scores' sample averages: = 79 for Target and = 71 for Walmart. You formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. Experience with the Consumer Reports satisfaction rating scale indicates that a population standard deviation of 12 is a reasonable assumption for both retailers. Use = .05. You compute the value of the test statistic. You compute the p-value and find it is equal to???. Your conclusion is to reject or not reject H_0?

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 + ...

Expert Solution