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 over 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Which of the following tests will you perform to help her make a decision?
A) t test for mean
B) Z test for proportion
C) pooled-variance t test
D) separate-variance t test

Question

Quizplus · Accepted Answer

Since the owner wants to compare the mean age of her customers with a specific value (30), the appropriate test is a t test for mean. The sample size is relatively large (n=250), so we can use the t statistic without needing to assume that the population standard deviation is known. Therefore, option A is the best choice for this situation. Option B is not appropriate since we are not testing a proportion. Option C and D are not necessary as there is only one sample involved.

The Owner of a Local Nightclub Has Recently Surveyed a Random