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=2inches. However, a survey reported that of a simple random sample of 31 fish caught, the mean length was 24 inches, with estimated standard deviation of 1.7 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is more than=23 inches? Use=0.00.

What is the level of significance?

State the null and alternate hypotheses.

H0:

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Select an answer

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H1:

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Select an answer

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

• The Student's t, since we have a simple random sample that is large andis known.
• The standard normal, since we have a simple random sample that is large.
• The Student's t, since we have a simple random sample that is large.
• The standard normal, since we have a simple random sample that is large andis known.

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

Find the P-value.(Round your answer to four decimal places.)

Based on your results, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level?

• At the=0.001level, we reject the null hypothesis and conclude the data are statistically significant.
• At the=0.001level, we reject the null hypothesis and conclude the data are not statistically significant.
• At the=0.001level, we fail to reject the null hypothesis and conclude the data are statistically significant.
• At the=0.001level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

Interpret your conclusion in the context of the application.

• There is insufficient evidence at the 0.001 level to conclude that the average fish length is less than 23 inches.
• There is sufficient evidence at the 0.001 level to conclude that the average fish length is less than 23 inches.