A professional basketball player is averaging 21 points per game.He will be retiring at the end of this season.The team has multiple options to replace him.However,the owner feels that signing a replacement is only justified,if he can average more than 22 points per game.Which of the following are the appropriate hypotheses for this problem? A)H₀: μ ≤ 21 vs.H_a: μ 21 B)H₀: μ ≤ 22 vs.H_a: μ 22 C)H₀: μ ≥ 21 vs.H_a: μ

Question

A professional basketball player is averaging 21 points per game.He will be retiring at the end of this season.The team has multiple options to replace him.However,the owner feels that signing a replacement is only justified,if he can average more than 22 points per game.Which of the following are the appropriate hypotheses for this problem? A)H₀: μ ≤ 21 vs.H_a: μ > 21 B)H₀: μ ≤ 22 vs.H_a: μ > 22 C)H₀: μ ≥ 21 vs.H_a: μ < 21 D)H₀: μ ≥ 22 vs.H_a: μ < 22 E)H₀: μ ≥ 22 vs.H_a: μ = 22

Quizplus · Accepted Answer

The null hypothesis should be that the new player will not perform better than the retiring player, which means the average points per game for the replacement player will be less than or equal to 22. Therefore, the appropriate hypotheses are: H₀: μ ≤ 22 vs. H_a: μ > 22. Option B represents these hypotheses.

A Professional Basketball Player Is Averaging 21 Points Per Game