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 more than 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 the mean
B) Z test for the proportion
C) Pooled-variance t test
D) Separate-variance t test

Question

Quizplus · Accepted Answer

The t test for the mean is the appropriate choice in this scenario, as we are trying to determine whether the mean age of the customers is greater than a specific value (30). A Z test for the proportion is used when we want to determine whether the proportion of successes in a population is different from a specific value, which is not relevant in this case. Pooled-variance and separate-variance t tests are used when we are comparing the means of two populations, which is not what we are doing in this scenario. Therefore, the best choice is the t test for the mean.

The Owner of a Local Nightclub Has Recently Surveyed a Random