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 46 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. A button hyperlink to the SALT program that reads: Use SALT. (a) What is the level of significance? State the null and alternate hypotheses. H0: ? < 19 in; H1: ? = 19 in H0: ? = 19 in; H1: ? 19 in H0: ? = 19 in; H1: ? < 19 in H0: ? = 19 in; H1: ? > 19 in H0: ? > 19 in; H1: ? = 19 in Correct: Your answer is correct. (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and ? is unknown