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# Western-Southern State Salary Differences in Teachers

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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.

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https://brainmass.com/statistics/hypothesis-testing/western-southern-state-salary-differences-teachers-159716

#### 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 is discussed in the solution.

\$2.49