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Western-Southern State Salary Differences in Teachers

A recent study of 100 elementary school teachers in a southern state found that their mean salary was $32,100 with a standard deviation of $3,500. A similar study of 100 elementary school teachers in a western state found that their mean salary was $ 34,500 with a standard deviation of $3,200 Test the claim that the salaries of elementary school teachers in the western state is more than that of elementary teachers in the southern state. Use 0.05 significance.

Solution Preview

We need to test

Null hypothesis H0: mu1=mu2
Alternative hypothesis H1: mu1>mu2.

Given xbar1=34500, s1=3200, xbar2=32100, s2=3500, ...

Solution Summary

72 words set up and execute the relevant hypothesis test at the 0.05 significance level.

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