At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, "You can average $76 a day in tips." Assume the population of daily tips is normally distributed with a standard deviation of $3.35. Over the first 38 days she was employed at the restaurant, the mean daily amount of her tips was $79.58. At the 0.10 significance level, can Ms. Brigden conclude that her daily tips average more than $76?
State the null hypothesis and the alternate hypothesis.
a. H₀: μ >76 ; H1: μ = 76
b. H₀: μ ≥ 76 ; H1: μ < 76
c. H₀: μ ≤ 76 ; H1: μ > 76
d. H₀: μ = 76 ; H1: μ ≠ 76