Consider the following hypothesis test: Ho: μ < 12 Ha: > 12 = 4.32. A sample of 25 provided a sample mean = 14 and a sample standard deviation s= a. Compute the value of the test statistic (to 2 decimals).
Consider the following hypothesis test: Ho: μ < 12 Ha: > 12 = 4.32. A sample of 25 provided a sample mean = 14 and a sample standard deviation s= a. Compute the value of the test statistic (to 2 decimals).
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![Consider the following hypothesis test:
A sample of 25 provided a sample mean = 14 and a sample standard deviation s = 4.32.
a. Compute the value of the test statistic (to 2 decimals).
2.31
Ho: μ < 12
Ha: μ > 12
b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value.
The p-value is less than 0.005
*
c. At a = 0.05, what is your conclusion?
Reject null hypothesis
d. What is the rejection rule using the critical value? (Use a = 0.05.)
Reject Ho if t is less than
the critical value of
Can you conclude that the population mean is greater than 12?
Yes
2.064
(to 3 decimals).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0551786c-a685-454b-bae2-31ff58b3b43e%2Fda0d39a2-2693-4e51-9e96-4ce43915ae36%2Fl88flz8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following hypothesis test:
A sample of 25 provided a sample mean = 14 and a sample standard deviation s = 4.32.
a. Compute the value of the test statistic (to 2 decimals).
2.31
Ho: μ < 12
Ha: μ > 12
b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value.
The p-value is less than 0.005
*
c. At a = 0.05, what is your conclusion?
Reject null hypothesis
d. What is the rejection rule using the critical value? (Use a = 0.05.)
Reject Ho if t is less than
the critical value of
Can you conclude that the population mean is greater than 12?
Yes
2.064
(to 3 decimals).
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