The null and alternate hypotheses are:

H0:12=0H0:12=0

H1:120H1:120

A random sample of 21 observations from the first population revealed a sample mean of 400 and a sample standard deviation of 9. A random sample of 24 observations from the second population revealed a sample mean of 398 and a sample standard deviation of 14.

At the 0.02 significance level, is there a difference in the population means?

a. State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.)

The decision rule is to reject H₀ift< or > .

This is a (Click to select) two one -tailed test.

b. Compute the pooled estimate of the population variance. (Round the final answer to 2 decimal places.)

Pooled estimate of the population variance

c. Compute the test statistic. (Round the final answer to 3 decimal places.)

The test statistic is: t = .

d. What is your decision regarding H₀?

H₀is (Click to select) not rejected rejected .

e. Estimate the p-value. (Round the final answer to 4 decimal places.)

The p-value is .