The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. If she wants to have a level of significance at 0.01, what rejection region should she use? A) Reject H₀ if t 2.5758.

Question

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. If she wants to have a level of significance at 0.01, what rejection region should she use? A) Reject H₀ if t < -2.3263. B) Reject H₀ if t < -2.5758. C) Reject H₀ if t > 2.3263. D) Reject H₀ if t > 2.5758.

Quizplus · Accepted Answer

Since the owner wants to test if the mean age is greater than 30, a one-tailed test is appropriate. At a 0.01 significance level, the critical t-value for a one-tailed test is approximately 2.3263. Therefore, the rejection region is t > 2.3263.

The Owner of a Local Nightclub Has Recently Surveyed a Random