Question: Fishing: Trout Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is u = 19 inches. However the Creel Survey reported that for a random sample of 51 fish caught, the mean length was \(\bar{X}\) = 18.5 inches with estimated standard deviation s =3.2 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than u = 19 inches? Use a = 0.05