3. Paul's Diner advertises that lunch will be served in 20 minutes or less. A random sample of 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.