Question

An industrial engineer is concerned with the service at a large medical clinic recorded the duration from the time a patient called until a nurse returned the call. A sample of size 100 calls had a mean of 28.5 minutes and a standard deviation of 8 minutes. The medical clinic personnel claim that the time to return a patient call is less than 30 minutes.

We want to use hypothesis testing to check the clinic’s claim with α = 0.01.

What is the test statistic?

What is the P-value of this test?

What is the 99% confidence interval for the population mean of time to return a call?

What is the probability of type II error if the true mean time to return a call is 28 minutes?

What sample size is required to detect a true mean time to return a call of 28 minutes with a probability of 99%?

Answer #1

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