Consider the following hypothesis test: Ho: µ< 12 Ha: µ > 12 A sample of 25 provided a sample mean F = 14 and a sample standard deviation s = 4.32. a. Compute the value of the test statistic (to 2 decimals). 2.30 b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. The p-value is between 0.01 and 0.025 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 greater than or equal to ♥ the critical value of 0.011 (to 3 decimals). Can you conclude that the population mean is greater than 12? Yes

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Consider the following hypothesis test:
Họ: µ< 12
Ha: µ > 12
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).
2.30
b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value.
The p-value is between 0.01 and 0.025 v
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 greater than or equal to
the critical value of 0.011
(to 3 decimals).
Can you conclude that the population mean is greater than 12?
Yes
Transcribed Image Text:Consider the following hypothesis test: Họ: µ< 12 Ha: µ > 12 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). 2.30 b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. The p-value is between 0.01 and 0.025 v 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 greater than or equal to the critical value of 0.011 (to 3 decimals). Can you conclude that the population mean is greater than 12? Yes
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