Guidelines for the Jolly Blue Giant Health Insurance Company say that the average hospitalization for a triple hernia operation should not exceed 30 hours. A diligent auditor studied records of 16 randomly chosen triple hernia operations at Hackmore Hospital, and found a mean hospital stay of 40 hours with a standard deviation of 20 hours. "Aha!" she cried, "the average stay exceeds the guideline." The p-value for a right-tailed test of her hypothesis is:

Question

Quizplus · Accepted Answer

The p-value is calculated using a t-test for the sample mean. With a sample size of 16, the t-statistic is calculated and compared to a t-distribution with 15 degrees of freedom. The calculated t-value falls between the critical values for the significance levels of 0.025 and 0.05, indicating the p-value is between these two values.

Guidelines for the Jolly Blue Giant Health Insurance Company Say