At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, \"You can average $81 a day in tips.\" Assume the population of daily tips is normally distributed with a standard deviation of $3.46. Over the first 43 days she was employed at the restaurant, the mean daily amount of her tips was $82.20. At the 0.01 significance level, can Ms. Brigden conclude that her daily tips average more than $81? a. State the null hypothesis and the alternate hypothesis. H0: 81 ; H1: < 81 H0: = 81 ; H1: 81 H0: >81 ; H1: = 81 H0: 81 ; H1: > 81 b. State the decision rule. Reject H0 if z < 2.33 Reject H1 if z < 2.33 Reject H0 if z > 2.33 Reject H1 if z > 2.33 c. Compute the value of the test statistic Value of the test statistic is? d. What is your decision regarding H0? Reject H0 Do not reject H0 e. What is the p-value