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 μ = 19 inches. however, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.0 inches. do these data indicate that the average length of a trout caught in pyramid lake is less than μ = 19 inches? use α = 0.05.