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. Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years. What is the p-value associated with the test statistic?
A) 0.02
B) 0.1423
C) 0.0780
D) 0.3577

Question

Quizplus · Accepted Answer

The p-value is calculated using a one-sample t-test. With a sample mean of 30.45, a hypothesized population mean of 30, a sample standard deviation of 5, and a sample size of 250, the test statistic is calculated. The p-value corresponding to this test statistic is approximately 0.0780.

The Owner of a Local Nightclub Has Recently Surveyed a Random