Suppose we want to know whether the mean length of unemployment differs among the residents of two local communities. Sample information is as follows:  Community A: sample mean =3.4 months  s = 1.1 month  n = 52 Community B: sample mean =2.8 months  s= 0.8 month  n = 62 Set up the null and alternative hypotheses. Use a= 0.05. choose a particular test, and show the rejection regions on a diagram. Calculate the test statistic, and decide whether to reject the null hypothesis (do not assume that the two standard deviations are equal to one another - therefor a pooled estimate of s should not be found)

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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Suppose we want to know whether the mean length of unemployment differs among the residents of two local communities. Sample information is as follows: 

Community A: sample mean =3.4 months 

s = 1.1 month 

n = 52

Community B: sample mean =2.8 months 

s= 0.8 month 

n = 62

Set up the null and alternative hypotheses. Use a= 0.05. choose a particular test, and show the rejection regions on a diagram. Calculate the test statistic, and decide whether to reject the null hypothesis (do not assume that the two standard deviations are equal to one another - therefor a pooled estimate of s should not be found)

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