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.

At a local county collectors’ meeting, fourteen numismatists presented an average of 12.7 items with a standard deviation of 2.4. Nine philatelists presented an average of 10.9 items each with a standard deviation of 4.6. At the 0.05 level of significance, can a difference in variances be concluded?