The average per capita income for Wisconsin is reported to be $37,314, and for South Dakota it is $37,375€”almost the same thing. A random sample of 50 workers from each state indicated the following sample statistics.

At α = 0.05 can we conclude a difference in means of the personal incomes?
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.

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South Wisconsin Dakota Size Mean Population standard deviation $10,500 $12,500 50 S40,275 $38,750 50