The Student's t distribution table gives criticalvalues for the Student's t distribution. Use anappropriate d.f. as the row header. For aright-tailed test, the column header is the value ofα found in the one-tail area row. For aleft-tailed test, the column header is the value ofα found in the one-tail area row, but you mustchange the sign of the critical value t to −t.For a two-tailed test, the column header is the value ofα from the two-tail area row. The critical valuesare the ±t values shown.
Pyramid Lake is on the Paiute Indian Reservation in Nevada. Thelake is famous for cutthroat trout. Suppose a friend tells you thatthe average length of trout caught in Pyramid Lake is μ =19 inches. However, a survey reported that of a random sample of 51fish caught, the mean length was x = 18.5 inches, withestimated standard deviation s = 2.8 inches. Do these dataindicate that the average length of a trout caught in Pyramid Lakeis less than μ = 19 inches? Use α = 0.05. Solvethe problem using the critical region method of testing (i.e.,traditional method). (Round the your answers to three decimalplaces.)
| test statistic | = | |
| critical value | = |
