10.159 A manufacturer designed an experiment to compare the difference between men and women with respect to the times they require to assemble a product. A total of 15 men and 15 women were tested to determine the time they required, on average, to assemble the product. The time required by the men had a standard deviation of 4.5 minutes, and the time required by the women had a standard deviation of 2.8 minutes.

Do these data show that the amount of time needed by men is more variable than the amount of time needed by women? Use   0.05 and assume the times are approximately normally distributed.

a. Solve using the p-value approach.

b. Solve using the classical approach.