Question

Consider the following hypothesis test: Ho: µS 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). 2.31 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 .005 Answer the next three questions using the critical value approach. C. Using a = 0.05, what is the critical value for the test statistic? (to 3 decimals)

Answer 1

The statistic software output for this problem is:

One sample T summary hypothesis test: u: Mean of population Hou = 12 HA: > 12 Hypothesis test results: Mean Sample Mean Std. Err. DF T-Stat 14 0.864 24 2.3148148 P-value 0.0147

(b)

The p- value is less than 0.025

c)

df = 24

Critical value = 1.711