(a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At a = 0.01, state your conclusion.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Consider the following hypothesis test.
Ho: μ ≤ 25
Ha: μ> 25
A sample of 40 provided a sample mean of 26.3. The population standard deviation is 6.
(a) Find the value of the test statistic. (Round your answer to two decimal places.)
(b) Find the p-value. (Round your answer to four decimal places.)
p-value =
(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 Ho. There is sufficient evidence to conclude that μ > 25.
O 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 <
test statistic >
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 Ho. There is sufficient evidence to conclude that μ > 25.
O Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
Transcribed Image Text:Consider the following hypothesis test. Ho: μ ≤ 25 Ha: μ> 25 A sample of 40 provided a sample mean of 26.3. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (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 Ho. There is sufficient evidence to conclude that μ > 25. O 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 < test statistic > 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 Ho. There is sufficient evidence to conclude that μ > 25. O Do not reject Ho. There is insufficient evidence to conclude that μ > 25.
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