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 of 25 fish caught, the mean length was x =18.3 inches, with estimated standard deviation s = 2.7 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. (Use 3 decimal places for the test statistic and the critical value. Use 4 decimal places for the P-value.)
Test statistic:
Critical Value:
P- Value:
Conclusion
Reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches.
Fail to reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches.