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.

The weights in ounces of a random sample of running shoes for men and women are shown. Calculate the variances for each sample, and test the claim that the variances are equal at α = 0.05. Use the P-value method.

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Men 11.9 10.4 12.6 12.3 11.1 14.7 12.9 13.3 14.5 9.2 10.8 11.2 11.7 13.8 12.8 10.6 9.6 10.1 9.4 9.8 Women 10.2 9.5 11.2 10.3 10.3 8.8 9.5 9.3 9.5 11.0