(a) What test should be used?  (b) Calculate: p-value = , and d.f. =  (c) At 5% significance level, your decision is:   (d) Is there sufficient evidence to conclude that the mean salary of younger employees is less than the mean salary of older employees at this company?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A Human Resources director was interested in comparing the salaries of younger (age 22-30) and older (age 31-40)  employees at her company. A random samples of 8 younger employees and 9 older employees yielded the following hourly salaries (in $).

Younger  35  25  28  37  23  18  41  32
Older      22  29  40  24  36  34  33  28  31

At the 5% significance level, do the data provide sufficient evidence to conclude that the mean salary of younger employees is less than the mean salary of older employees at this company? Assume that the variances are the same.

(a) What test should be used? 

(b) Calculate: p-value = , and d.f. = 

(c) At 5% significance level, your decision is:  

(d) Is there sufficient evidence to conclude that the mean salary of younger employees is less than the mean salary of older employees at this company? 

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