At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average more than $80 a day in tips.” Assume that the population of daily tips is normally distributed, with a standard deviation of $3.24. Over the first 35 days she was employed at the restaurant, the mean daily amount of her tips was $84.65. At the 0.01 significance level, can Ms. Brigden conclude that her daily tips average more than $80?

(a) State the null hypothesis and the alternative hypothesis. 

(b) State the decision rule. 

(c) Compute the value of the test statistic. 

(d) What is your decision regarding H₀?

(e) What is the p-value? Interpret it.