At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, "You can average $82 a day in tips." Assume the population of daily tips is normally distributed with a standard deviation of $3.26. Over the first 44 days she was employed at the restaurant, the mean daily amount of her tips was $84.61. At the .02 significance level, can Ms. Brigden conclude that her daily tips average more than $82? (a)State the null hypothesis and the alternate hypothesis