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Consider the following hypothesis test. Ho:μ ≤ 12 Ha: μ> 12 A sample of 25 provided a sample mean X= 14 and a sample standard deviation s = 4.55. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. Op-value > 0.200 O 0.100 < p-value < 0.200 O 0.050 < p-value < 0.100 0.025 p-value < 0.050 0.010 < p-value < 0.025 Op-value < 0.010 (c) At a = 0.05, what is your conclusion? Reject Ho. There is sufficient evidence to conclude that μ > 12. Reject Ho. There is insufficient evidence to conclude that μ > 12. O Do not reject Ho. There is insufficient evidence to conclude that µ > 12. ○ Do not reject Ho. There is sufficient evidence to conclude that μ> 12.

Consider the following hypothesis test. Ho:μ ≤ 12 Ha: μ> 12 A sample of 25 provided a sample mean X= 14 and a sample standard deviation s = 4.55. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. Op-value > 0.200 O 0.100 < p-value < 0.200 O 0.050 < p-value < 0.100 0.025 p-value < 0.050 0.010 < p-value < 0.025 Op-value < 0.010 (c) At a = 0.05, what is your conclusion? Reject Ho. There is sufficient evidence to conclude that μ > 12. Reject Ho. There is insufficient evidence to conclude that μ > 12. O Do not reject Ho. There is insufficient evidence to conclude that µ > 12. ○ Do not reject Ho. There is sufficient evidence to conclude that μ> 12.

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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Question 14

Consider the following hypothesis test. Ηγ: μ ≤ 12 Ha:μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.55. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. O p-value > 0.200 O 0.100 < p-value < 0.200 O 0.050 < p-value < 0.100 O 0.025 < p-value < 0.050 0.010 < p-value < 0.025 O p-value < 0.010 (c) At a = 0.05, what is your conclusion? O Reject Ho. There is sufficient evidence to conclude that μ > 12. O Reject Ho. There is insufficient evidence to conclude that μ > 12. O Do not reject Ho. There is insufficient evidence to conclude that μ > 12. Do not reject Ho. There is sufficient evidence to conclude that μ > 12. (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.) test statistic < test statistic > What is your conclusion? O Reject Ho. There is sufficient evidence to conclude that μ > 12. Reject Ho. There is insufficient evidence to conclude that μ > 12. Do not reject Ho. There is insufficient evidence to conclude that μ> 12. O Do not reject Ho. There is sufficient evidence to conclude that μ > 12.
Transcribed Image Text:Consider the following hypothesis test. Ηγ: μ ≤ 12 Ha:μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.55. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. O p-value > 0.200 O 0.100 < p-value < 0.200 O 0.050 < p-value < 0.100 O 0.025 < p-value < 0.050 0.010 < p-value < 0.025 O p-value < 0.010 (c) At a = 0.05, what is your conclusion? O Reject Ho. There is sufficient evidence to conclude that μ > 12. O Reject Ho. There is insufficient evidence to conclude that μ > 12. O Do not reject Ho. There is insufficient evidence to conclude that μ > 12. Do not reject Ho. There is sufficient evidence to conclude that μ > 12. (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.) test statistic < test statistic > What is your conclusion? O Reject Ho. There is sufficient evidence to conclude that μ > 12. Reject Ho. There is insufficient evidence to conclude that μ > 12. Do not reject Ho. There is insufficient evidence to conclude that μ> 12. O Do not reject Ho. There is sufficient evidence to conclude that μ > 12.
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