Consider the following hypothesis test. Ho: μ ≤ 25 H₂:μ > 25 A sample of 40 provided a sample mean of 26.1. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) 1.16 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.1230 (c) At a = 0.01, state your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject Ho. There is insufficient evidence to conclude that μ > 25. O Do not reject Hō. There is sufficient evidence to conclude that μ > 25. • Do not reject Ho. There is insufficient evidence to conclude that μ > 25. (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 ≤ 26.1 X test statistic ≥ 2.33 State your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject H₂. There is insufficient evidence to conclude that μ > 25. O Do not reject Ho. There is sufficient evidence to conclude that μ > 25. Ⓒ Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
Consider the following hypothesis test. Ho: μ ≤ 25 H₂:μ > 25 A sample of 40 provided a sample mean of 26.1. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) 1.16 (b) Find the p-value. (Round your answer to four decimal places.) p-value = 0.1230 (c) At a = 0.01, state your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject Ho. There is insufficient evidence to conclude that μ > 25. O Do not reject Hō. There is sufficient evidence to conclude that μ > 25. • Do not reject Ho. There is insufficient evidence to conclude that μ > 25. (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 ≤ 26.1 X test statistic ≥ 2.33 State your conclusion. O Reject Ho. There is sufficient evidence to conclude that μ > 25. O Reject H₂. There is insufficient evidence to conclude that μ > 25. O Do not reject Ho. There is sufficient evidence to conclude that μ > 25. Ⓒ Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:Consider the following hypothesis test.
Ho: μ ≤ 25
H₂:μ > 25
A sample of 40 provided a sample mean of 26.1. The population standard deviation is 6.
(a) Find the value of the test statistic. (Round your answer to two decimal places.)
1.16
(b) Find the p-value. (Round your answer to four decimal places.)
p-value = 0.1230
(c) At a = 0.01, state your conclusion.
O Reject Ho. There is sufficient evidence to conclude that μ > 25.
O Reject Ho. There is insufficient evidence to conclude that μ > 25.
O Do not reject Hō. There is sufficient evidence to conclude that μ > 25.
• Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
(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 ≤ 26.1
X
test statistic ≥ 2.33
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that μ > 25.
O Reject H₂. There is insufficient evidence to conclude that μ > 25.
O Do not reject Ho. There is sufficient evidence to conclude that μ > 25.
Ⓒ Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
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