Consider the following hypothesis test H0 12 Ha 12 A sample

Consider the following hypothesis test:

H₀: 12

H_a: > 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 to compute a range for the p-value.

The p-value is _________________

Answer the next three questions using the critical value approach.

c. Using = .05, what is the critical value for the test statistic? __________

d. State the rejection rule: Reject H₀ if t is _________________ the critical value.

e. Using = .05, can you conclude that the population mean is greater than 12?

Solution