Question: 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 a trout caught in Pyramid Lake is \[\mu \] = 19 inches. However, The Creel Survey (Published by the Pyramid Lake Paiute Tribe Fisheries Association) reported that for a random sample of 51 fish caught, the mean length was \[\overline{x}\] = 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 \[\mu \] = 19 inches? Use \[\alpha \] =0.05.