Question:4. You are the chief statistician for the Lakers, and the general manager has narrowed his

Question:4. You are the chief statistician for the Lakers, and the general manager has narrowed his draft pickdown to two players, Player A and Player B. After taking a simple random sample of 15 of playerA’s games, you found that he scored an average of 18.3 points per game, with a sample variance of19.7 points per game. After taking a random sample of 15 of player B’s games, you found that hescored 16 points per game, with a sample variance of 15.2 points per game. Let µA and σ2A denotethe mean points per game and variance in points per game for player A, and µB and σ2B denote thesame for player B.(a) Test the null hypothesis that player A and player B have the same variance in points per gameagainst the alternative that player A’s variance is higher at the α = .05 significance level.(b) Now, the general manager wants to know which player scores more on average. Based on youranswer to i), should we use a t-test with the pooled estimate s2pfor equal variances, or a t-testwith ν for unequal variances?(c) Based on your answer tob), test the null hypothesis that player A and player B score the samenumber of points per game on average vs the two-sided alternative at the α = .05 significance level.(d) Based on the conclusions from a) and c), which player do you think is the better selection?