SOLUTION: Using either formulas or software, conduct this hypothesis test at the 5% level of significance.
H0: μ ≤ 25
Ha: μ > 25
A sample of size 24 was taken to test t
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Question 468105: Using either formulas or software, conduct this hypothesis test at the 5% level of significance.
H0: 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? _________
b. Conclusion based on the critical value method:
The value of the test statistic is ____________
The critical value for the test is ____________
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.
c. Conclusion based on the p-value method:
The p-value is ______________
The value of alpha is ___________
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.
This is a statistics question.
Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
---
Since the test statistic is not in the reject interval, which is
t > 1.7139, fail to reject Ho.
====================================================
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.
---
Since the p-value is greater than 5%, fail to reject Ho.
=========================
Cheers,
Stan H.
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