The null and alternate hypotheses are:

H0 : 1 = 2 H1 : 1 2

A random sample of 11 observations from one population revealed a sample mean of 24 and a sample standard deviation of 1.3. A random sample of 5 observations from another population revealed a sample mean of 25 and a sample standard deviation of 1.5.

The population standard deviations are unknown but assumed to be equal. At the 0.10 significance level, is there a difference between the population means?

Required:

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.