For Exercises perform these steps.

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.
Use the traditional method of hypothesis testing unless otherwise specified.

The U.S. median annual income for men in 2010 (in constant dollars) was $32,137. A random sample of recent male college graduates indicated the following incomes. At the 0.05 level of significance, test the claim that the median is more than $32,137.

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35,000 37,682 39,800 32,500 30,000 29,650 35,800 41,050 36,198 31,500 34,500 38,850 39,750