Question

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 u = 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 = 2.8 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than u = 19 inches? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: y = 19 in; H: fl # 19 in Ho!! < 19 in; H: N = 19 in O Ho: = 19 in; H1: 4 < 19 in Ho: u > 19 in; H1: 4 = 19 in Ho: di = 19 in; H1: > 19 in (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 o is unknown. The Student's t, since the sample size is large and o is known. The standard normal, since the sample size is large and o is known. The Student's t, since the sample size is large and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. P-value > 0.250 0.100 < P-value < 0.250 0.050 < P-value < 0.100 0.010 < P-value < 0.050 OP-value < 0.010

Answer 1

• solution:- Оооо 0008 a) aa 0.05 C Hoi l=19 Ha: el c 19 b) student's t sample size is large 8 um lamowm. کار و T=X-4 - 18.6-19 slum 2.8 1 46 -0.969 9 < 0.250 d) D B 0.100 a P-value A+ 9 = 0.0s, we fail to reject and conclude are mot statistically significant. There is insufficient aridensce Meig. data e B