TJX Companies, the parent company for Marshalls and Home Goods, wants to know if their managers are paid differently, on average. A random sample of 45 manager salaries from Marshalls finds that the average yearly salary is $44, 035 with a sample standard deviation of $3,500. A random sample of 50 manager salaries from Home Goods finds that the average yearly salary is $42,105 with a sample standard deviation of $3,500. Based on the samples, is there enough evidence to state that the managers at Marshalls and Home Goods are paid differently using a significance level of 1%?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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TJX Companies, the parent company for Marshalls and Home Goods, wants to know if their managers are paid differently, on average. A random sample of 45 manager salaries from Marshalls finds that the average yearly salary is $44, 035 with a sample standard deviation of $3,500. A random sample of 50 manager salaries from Home Goods finds that the average yearly salary is $42,105 with a sample standard deviation of $3,500. Based on the samples, is there enough evidence to state that the managers at Marshalls and Home Goods are paid differently using a significance level of 1%?

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