Question 468105
Using either formulas or software, conduct this hypothesis test at the 5% level of significance.
Ho: μ ≤ 25
Ha: μ > 25 
A sample of size 24 was taken to test this hypothesis. The sample mean was 26.2 and the sample standard deviation was 3.6. 
a. Is this a z or t test?  t test__ 
b. Conclusion based on the critical value method:
The value of the test statistic is 
t(26.2) = (26.2-25)/[3.6/sqrt(24) = 1.633____________
The critical value for the test is InvT(0.95,23) = 1.7139____
Write the appropriate concluding statement, comparing the two values and indicating whether or not the sample evidence is strong enough to lead to rejection of the null hypothesis.
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Since the test statistic is not in the reject interval, which is
t > 1.7139, fail to reject Ho.
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c. Conclusion based on the p-value method:
The p-value is P(t > 1.633 when df = 23) = 0.058______________
The value of alpha is 5%___________
Write the appropriate concluding statement, comparing the two values and indicating whether or not the sample evidence is strong enough to lead to rejection of the null hypothesis.
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Since the p-value is greater than 5%, fail to reject Ho.
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Cheers,
Stan H.