9 lunches showed a mean serving time of 22 minutes and a standard deviation of 6 minutes.
Assume the serving times are normally distributed.
Part A: Is there sufficient evidence from the sample to conclude that Paul's Diner is not
living up to their claim? Test the hypothesis at the 1% level of significance. Make sure to
state the null and alternative hypotheses and to report your conclusion?
Part B: If we decide to reject Ho based on sample statistic, what would be type I error?
Show how you came up with the answer.
What is type II error? What is more important to control here: type I or type II error? Please
explain.