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Consider the following hypothesis test. Ho: μ ≥ 20 H₂: μ< 20 A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) -2.12 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.05 X (c) Using a = 0.05, state your conclusion. Reject Ho. There is sufficient evidence to conclude that μ< 20. Reject Ho. There is insufficient evidence to conclude that μ < 20. Do not reject Ho. There is sufficient evidence to conclude that μ < 20. Do not reject Ho. There is insufficient evidence to conclude that μ< 20.

Consider the following hypothesis test. Ho: μ ≥ 20 H₂: μ< 20 A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) -2.12 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.05 X (c) Using a = 0.05, state your conclusion. Reject Ho. There is sufficient evidence to conclude that μ< 20. Reject Ho. There is insufficient evidence to conclude that μ < 20. Do not reject Ho. There is sufficient evidence to conclude that μ < 20. Do not reject Ho. There is insufficient evidence to conclude that μ< 20.

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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Consider the following hypothesis test. Ho: μ ≥ 20 H₂: μ< 20 A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) -2.12 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.05 X (c) Using a = 0.05, state your conclusion. Ⓒ Reject Ho. There is sufficient evidence to conclude that μ < 20. O Reject Ho. There is insufficient evidence to conclude that μ < 20. O Do not reject Ho. There is sufficient evidence to conclude that μ< 20. O Do not reject Ho. There is insufficient evidence to conclude that μ< 20. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic ≤ NONE X test statistic > NONE State your conclusion. Ⓒ Reject Ho. There is sufficient evidence to conclude that μ< 20. O Reject Ho. There is insufficient evidence to conclude that μ < 20. O Do not reject Ho. There is sufficient evidence to conclude that μ< 20. O Do not reject Ho. There is insufficient evidence to conclude that μ< 20. ✓
Transcribed Image Text:Consider the following hypothesis test. Ho: μ ≥ 20 H₂: μ< 20 A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) -2.12 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.05 X (c) Using a = 0.05, state your conclusion. Ⓒ Reject Ho. There is sufficient evidence to conclude that μ < 20. O Reject Ho. There is insufficient evidence to conclude that μ < 20. O Do not reject Ho. There is sufficient evidence to conclude that μ< 20. O Do not reject Ho. There is insufficient evidence to conclude that μ< 20. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic ≤ NONE X test statistic > NONE State your conclusion. Ⓒ Reject Ho. There is sufficient evidence to conclude that μ< 20. O Reject Ho. There is insufficient evidence to conclude that μ < 20. O Do not reject Ho. There is sufficient evidence to conclude that μ< 20. O Do not reject Ho. There is insufficient evidence to conclude that μ< 20. ✓
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