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) 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 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and ? is unknown.The standard normal, since the sample size is large and ? is unknown. The Student's t, since the sample size is large and ? is known.The standard normal, since the sample size is large and ? is known. What is the value of the sample test statistic? (Round your answer to three decimal places.)

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Description: 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 sampl

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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 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) 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

(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.

The Student's t, since the sample size is large and ? is unknown.The standard normal, since the sample size is large and ? is unknown. The Student's t, since the sample size is large and ? is known.The standard normal, since the sample size is large and ? is known.

What is the value of the sample test statistic? (Round your answer to three decimal places.)

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