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? Value of the test statistic? What is the p value?