At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, "You can average $75 a day in tips." Assume the population of daily tips is normally distributed with a standard deviation of $4.27. Over the first 37 days she was employed at the restaurant, the mean daily amount of her tips was $76.10. At the .05 significance level, can Ms. Brigden conclude that her daily tips average more than $75?
(a) Compute the value of the test statistic. (Round your answer to 2 decimal places.)
(b) What is the p-value? (Round your answer to 4 decimal places.)