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=20μ=20...

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=20μ=20 inches. However, a survey reported that of a simple random sample of 37 fish caught, the mean length was 17.5 inches, with estimated standard deviation of 4.3 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ=20 inches? Use α=0.05.


What is the level of significance?



State the null and alternate hypotheses.

H0:H0:? μ σ χ p  Select an answer > = ≠ 



H1:H1:? μ χ p σ  Select an answer > <>







What sampling distribution will you use? Explain the rationale for you choice of sampling distribution.