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 calculated using a one-sample t-test. The test statistic is calculated as (30.45 - 30) / (5/√250) = 1.414. Using a t-distribution table or calculator, the p-value for this test statistic is approximately 0.0780.

The Owner of a Local Nightclub Has Recently Surveyed a Random