Find the answers to a. and c. in the format required. Consider the following hyp

Question

Find the answers to a. and c. in the format required.

Consider the following hypothesis test: Ho: 12 Ha : > 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) b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. The p-value is between .01 and .025 Answer the next three questions using the critical value approach. C. Using = 0.05, what is the critical value for the test statistic? (to 3 decimals) State the rejection rule: Reject Ho> if t is greater than or equal tothe critical value. d. Using a 0.01, can you conclude that the population mean is greater than 12? No

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 12
HA : > 12

Hypothesis test results:

Hence,

a) Test statistic = 2.31

c) Critical value = 1.711

Mean Sample Mean Std. Err. DF T-Stat P-value 14 0.864 24 2.3148148 0.0147

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