At the time she was hired as a server at the Grumney Family Restaurant , Beth Brigden was told. "You can average $ 80 a day in tips." Assume the population of the daily tips is normally distributed with standard deviation of $ 3.24. Over the first 35 days she was employed at the restaurant, the mean daily amount of her tips was $ 84.85. At the .01 significance level, can Ms. Brigden conclude that her daily tips average more than $ 80?