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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01105c61-16b2-4ed7-8b58-345531cf6846%2F259615b3-ebf0-4ae5-89f4-3f98add023d6%2Faa5nfd_processed.png&w=3840&q=75)
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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