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 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 2.9 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. i-What is the value of the sample test statistic? (Round your answer to three decimal places.)

MATLAB: An Introduction with Applications
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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 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 2.9 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05.
i-What is the value of the sample test statistic? (Round your answer to three decimal places.)
Expert Solution
Step 1

Given that

mu = 19 , x bar = 18.6 , n = 51,alpha =0.05 , s =2.9

Carry out the hypothesis

Do these data indicate that the average length of a trout caught in Pyramid Lake is less than mu = 19 inches? Use ? = 0.05.
i-What is the value of the sample test statistic?

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