Question

A theme park advertises that the average wait-time for their newest ride is 45 minutes. Since you feel like this is inaccurate because youve been waiting forever, you decide to test their claim. Throughout the day, you ask 56 people entering the line to record their wait time and tell you when they leave the ride. Through this method you get an average wait time of 47 minutes with a standard deviation of 5.6 minutes. Use a hypothesis test at 95% confidence to see if you have enough evidence to back your feeling.

Answer 1

Solution-: Given:

The 95% C.I. for the population mean is,

Where, (From Normal Prob. Integral table)

Therefore, the required C.I. is

Since, , which is not lies in above interval so there is no sufficient evidence that the average wait-time for their newest ride is 45 minutes.