Fishing: Trout A lake is famous for cutthroat trout. Suppose a friend tells you that the average length of the trout is µ = 19 inches. However a survey reported that of a random sample of 51 fish...

Fishing: Trout
A lake is famous for cutthroat trout.  Suppose a friend tells you that the average length of the trout is µ = 19 inches.  However a survey reported that of a random sample of 51 fish caught, the mean length was x= 18.5 inches, with estimated standard deviation s = 3.2 inches.  Does this data indicate that the average length of a trout in this lake is less than µ = 19 inches?  Use α = 0.05.