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.
-The appropriate hypotheses to test are

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. -The appropriate hypotheses to test are A) H₀: $\mu$ $\le$ 30 versus H₁: $\mu$ > 30. B) H₀: $\bar { X }$ 30 versus H₁: $\bar { X }$ < 30. C) H₀: $\mu$ $\ge$ 30 versus H₁: $\mu$ < 30. D) H₀: $\bar { X }$ $\le$ 30 versus H₁: $\bar { X }$ > 30.

Quizplus · Accepted Answer

The null hypothesis ($H_0$) should represent the status quo or the condition of no change, which in this case is that the mean age of customers is less than or equal to 30 ($\mu \le 30$). The alternative hypothesis ($H_1$) represents the condition under which the nightclub owner would change the entertainment, which is if the mean age is greater than 30 ($\mu > 30$).

The Owner of a Local Nightclub Has Recently Surveyed a Random