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.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)0.3577
B)0.1423
C)0.0780
D)0.02

Question

Quizplus · Accepted Answer

The p-value is the probability of observing a test statistic as extreme as, or more extreme than, the value observed, under the assumption that the null hypothesis is true. In this case, the null hypothesis would be that the mean age of her customers is 30 or less. Given the sample mean, sample size, and standard deviation, one would typically use a t-test to determine the p-value. The exact p-value can be calculated using statistical software or tables based on the t-distribution. Without the exact calculations here, the correct answer is chosen based on provided options, assuming the calculation was done correctly for the scenario described.

The Owner of a Local Nightclub Has Recently Surveyed a Random