Question

A bank manager wants the average time that a customer waits in line to be at most 3 minutes. Customers at the bank have complained about the long wait times. To test whether the average wait time at the bank is greater than 3 minutes, 60 customers were randomly selected as they entered the bank and their wait times were recorded. The mean wait time was 4.7 minutes. A one-sample t-test resulted in a p-value of 0.00031.Which of the following is an appropriate interpretation of the pp-value?A)The probability that the population mean wait time is greater than 3 minutes is 0.00031.B)The probability that the sample mean wait time is greater than 3 minutes is 0.00031.C)If the population mean wait time is greater than 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031.D)If the population mean wait time is 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes is 0.00031.E)If the population mean wait time is 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031.

Answer 1

Answer:

An appropriate interpretation of the p-value is

E) If the population mean wait time is 3 minutes, the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031

Step-by-step explanation:

A one-sample t-test is used for the comparison between the derived mean of the sample data and the a known mean value, given that the population standard deviation is unknown

The P value indicates the likelihood of obtaining a mean with a value difference from the hypothetical mean which is as much as or more than the difference between the observed mean and the hypothetical

Therefore, an appropriate interpretation of the p-value is if the population mean wait time is 3 minutes then the probability of observing a sample mean wait time of 4.7 minutes or more is 0.00031.