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=20 inches. However, a survey reported that of a simple random sample of 37 fish caught, the mean length was 17.5 inches, with an estimated standard deviation of 4.3 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ=20 inches? Use α=0.05. 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 αα? A) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. B) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant. C) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. D) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

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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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=20 inches. However, a survey reported that of a simple random sample of 37 fish caught, the mean length was 17.5 inches, with an estimated standard deviation of 4.3 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ=20 inches? Use α=0.05.

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 αα?

A) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
B) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
C) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
D) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

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