Two basketball players on a school team are working hard on consistency of their performance. In particular, they are hoping to bring down the variance of their scores. The coach believes that the players are not equally consistent in their games. Over a 10-game period, the scores of these two players are shown below. Assume that the two samples are drawn independently from normally distributed populations.

a. Develop the hypotheses to test whether the players differ in consistency.
b. Use the critical value approach to test the coach's claim at α = 0.05.

Player 1 Player 2 13 1512 18 14 15 11 13 1116 11 2118 9 20 11 13 11 198