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.

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.

bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-01-07T12:37:25+01:00

The option E is correct option which is 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.

Given-

For the experiment the total customers were selected is 60.

Mean wait time of the experiment is 4.7 minutes.

T-test result in a p-value is 0.00031.

T-test- this test tell that how significant is the differences between the groups. It means it tell us that if the difference happens by the chance.

The probability that the population mean wait time is greater than 3 minutes is 0.00031-

Now in the given options the option is E is best interpretation of this pp-test. According to option E, 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.

When the t test is performed it is all about the chances of the groups of the experiment results. The time which is taken by a customer in real will be more than this time and thus the probability of observing a sample mean wait time of 4.7 min or more is 0.00031 as the test data suggest.

Hence the option E is correct option which is 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.

For more about the wait time follow the link below-

https://brainly.com/question/11619445