The Transportation Security Administration (TSA) examined the possibility of a Registered Traveler program. This program is intended to be a way to shorten security lines for “trusted travelers.” USA Today published an article on a study run at the Orlando International Airport. Thirteen thousand people paid an annual $80 fee to participate in the program. They spent an average of four seconds in security lines at Orlando, according to Verified Identity Pass, the company that ran the program. For comparison purposes, a sample of the time it took the other passengers to pass through security at Orlando was obtained. The file titled Passtime contains these data.
a. Although the average time to pass through security is of importance, the standard deviation is also important. Conduct a hypothesis test to determine if the standard deviation is larger than 1 1/2 minutes (i.e., 90 seconds). Use a significance level of 0.01.
b. Considering the results of your hypothesis tests in part a, determine and define the type of statistical error that could have been made.