For Exercises perform the following steps. Assume that all variables are normally distributed.

a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

Cities were randomly selected from the list of the 50 largest cities in the United States (based on population). The areas of each in square miles are shown. Is there sufficient evidence to conclude that the variance in area is greater for eastern cities than for western cities at α = 0.05? At α = 0.01?

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Eastern Atlanta, GA Columbus, OH Louisville, KY New York, NY 132 210 385 303 Philadelphia, PA 135 Washington, DC Charlotte, NC 61 242 Western Albuquerque, NM Denver, CO Fresno, CA Las Vegas, NV Portland, OR Seattle, WA 181 155 104 113 134 84