TheStudent'stdistribution tablegives critical values for the Student'stdistribution. Use an appropriated.f.as the row header. For aright-tailedtest, the column header is the value offound in theone-tail arearow. For aleft-tailedtest, the column header is the value offound in theone-tail arearow, but you must change the sign of the critical valuettot. For atwo-tailedtest, the column header is the value offrom thetwo-tail arearow. The critical values are thetvalues shown. 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= 19 inches. However, a survey reported that of a random sample of46fish caught, the mean length wasx=18.4inches, with estimated standard deviations=2.7inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than= 19inches? Use= 0.05.Solve the problem using the critical region method of testing (i.e., traditional method). (Round the your answers to three decimal places.)

test statistic	=
critical value	=