The median age for the total population of the state of Maine is 41.2, the highest in the nation. The mayor of a particular city believes that his population is considerably €œyounger€ and that the median age there is 36 years. At α = 0.05, is there sufficient evidence to reject his claim? The data here represent a random selection of persons from the household population of the city.

Follow this procedure:
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.

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