The null and alternate hypotheses are: H0 : 1 = 2 H1 : 1 2 A random sample of 9 observations from one population revealed a sample mean of 25 and a sample standard deviation of 4.0. A random sample of 4 observations from another population revealed a sample mean of 29 and a sample standard deviation of 4.6. The population standard deviations are unknown but assumed to be equal. At the 0.01 significance level, is there a difference between the population means?

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

b. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.)

c. Compute the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

d. State your decision about the null hypothesis.

multiple choice 1

Do not reject H₀.

Reject H₀.

e. The p-value is

multiple choice 2

between 0.2 and 0.1.

less than 0.001.

between 0.02 and 0.05.

between 0.001 and 0.01.

between 0.05 and 0.1.