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) pooled-variance t test
C) separate-variance t test
D) Z test for proportion

Question

Quizplus · Accepted Answer

The appropriate test in this case is a t test for mean since we are trying to determine if the mean age of the customers is over 30. A pooled-variance or separate-variance t test would be used if we were comparing the means of two groups, which is not the case here. A Z test for proportion would be used if we were trying to determine if a proportion (such as the proportion of customers over 30) is significantly different from a specified value, which is also not the case here.

The Owner of a Local Nightclub Has Recently Surveyed a Random