A recent study of 100 elementary school teachers in a southern state found that their mean salary was $24,700
with a population standard deviation of $2100. A similar study of 100 elementary school teachers in a western
state found that their mean salary was $35,100 with a population standard deviation of $3200. Test the claim
that the salaries of elementary school teachers in the western state is more than $10,000 greater than that of
elementary teachers in the southern state. Use $\alpha$ = 0.05. Assume the two samples are random and independent.

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The Answer of A recent study of 100 elementary school teachers in a southern state found that their mean salary was $24,700
with a population standard deviation of $2100. A similar study of 100 elementary school teachers in a western
state found that their mean salary was $35,100 with a population standard deviation of $3200. Test the claim
that the salaries of elementary school teachers in the western state is more than $10,000 greater than that of
elementary teachers in the southern state. Use $\alpha$ = 0.05. Assume the two samples are random and independent.

A Recent Study of 100 Elementary School Teachers in a Southern