Consider the following hypothesis test. Ηγ: με 25 Ha: μ> 25 A sample of 40 provided a sample mean of 26.7. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) 2.83 (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At a = 0.01, state your conclusion. 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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O
You may need to use the appropriate appendix table or technology to answer this question.
Consider the following hypothesis test.
Ηγ: μ ≤ 25
Ha: μ> 25
A sample of 40 provided a sample mean of 26.7. The population standard deviation is 6.
(a) Find the value of the test statistic. (Round your answer to two decimal places.)
2.83
X
(b) Find the p-value. (Round your answer to four decimal places.)
p-value
X
(c) At a = 0.01, state your conclusion.
O
=
in
Reject Ho. There is sufficient evidence to conclude that μ > 25.
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.
Do not reject Ho. There is insufficient evidence to conclude that u > 25.
X
4:0
Ta
67°F Sa
Transcribed Image Text:O You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ηγ: μ ≤ 25 Ha: μ> 25 A sample of 40 provided a sample mean of 26.7. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) 2.83 X (b) Find the p-value. (Round your answer to four decimal places.) p-value X (c) At a = 0.01, state your conclusion. O = in Reject Ho. There is sufficient evidence to conclude that μ > 25. 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. Do not reject Ho. There is insufficient evidence to conclude that u > 25. X 4:0 Ta 67°F Sa
(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 >
X
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:(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 > X 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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