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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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).
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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