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The Student'st distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of a found in the one-tail area row. For a left-tailed test, the column header is the value of a found in the one-tail area row, but you must change the sign of the critical value t to -t. For a two-tailed test, the column header is the value of a from the two-tail area row. The critical values are the ±t values shown. 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 = 18.3 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 u = 19 inches? Use a = 0.05. Solve the problem using the critical region method of testing (i.e., traditional method). (Round the your answers to three decimal places.) test statistic = critical value = State your conclusion in the context of the application. O Reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches. O Reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches. O Fail to reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches. O Fail to reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches. Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same? O We reject the null hypothesis using the P-value method, but fail to reject using the traditional method. O we reject the null hypothesis using the traditional method, but fail to reject using the P-value method.

The Student'st distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of a found in the one-tail area row. For a left-tailed test, the column header is the value of a found in the one-tail area row, but you must change the sign of the critical value t to -t. For a two-tailed test, the column header is the value of a from the two-tail area row. The critical values are the ±t values shown. 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 = 18.3 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 u = 19 inches? Use a = 0.05. Solve the problem using the critical region method of testing (i.e., traditional method). (Round the your answers to three decimal places.) test statistic = critical value = State your conclusion in the context of the application. O Reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches. O Reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches. O Fail to reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches. O Fail to reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches. Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same? O We reject the null hypothesis using the P-value method, but fail to reject using the traditional method. O we reject the null hypothesis using the traditional method, but fail to reject using the P-value method.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The **Student's t distribution table** gives critical values for the Student's t distribution. Use an appropriate *d.f.* as the row header. For a **right-tailed** test, the column header is the value of α found in the **one-tail area** row. For a **left-tailed** test, the column header is the value of α found in the **one-tail area** row, but you must change the sign of the critical value t to -t. For a **two-tailed** test, the column header is the value of α from the **two-tail area** row. The critical values are the ±t values shown. 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 μ = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x̄ = 18.3 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 μ = 19 inches? Use α = 0.05. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to three decimal places.) - test statistic = ______ - critical value = ______ State your conclusion in the context of the application. - O Reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches. - O Reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches. - O Fail to reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches. - O Fail to reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches. Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same? - O We reject the null hypothesis using the P-value method, but fail to reject using the traditional method. - O We reject the null hypothesis using the traditional method, but fail to reject using the P-value method. - O The conclusions obtained by using both methods are the same.
Transcribed Image Text:The **Student's t distribution table** gives critical values for the Student's t distribution. Use an appropriate *d.f.* as the row header. For a **right-tailed** test, the column header is the value of α found in the **one-tail area** row. For a **left-tailed** test, the column header is the value of α found in the **one-tail area** row, but you must change the sign of the critical value t to -t. For a **two-tailed** test, the column header is the value of α from the **two-tail area** row. The critical values are the ±t values shown. 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 μ = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x̄ = 18.3 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 μ = 19 inches? Use α = 0.05. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to three decimal places.) - test statistic = ______ - critical value = ______ State your conclusion in the context of the application. - O Reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches. - O Reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches. - O Fail to reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches. - O Fail to reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches. Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same? - O We reject the null hypothesis using the P-value method, but fail to reject using the traditional method. - O We reject the null hypothesis using the traditional method, but fail to reject using the P-value method. - O The conclusions obtained by using both methods are the same.
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