The null and alternate hypotheses are:

H0 : μ1 = μ2
H1 : μ1 ≠ μ2

A random sample of 11 observations from one population revealed a sample mean of 23 and a sample standard deviation of 1.1. A random sample of 4 observations from another population revealed a sample mean of 24 and a sample standard deviation of 1.3.

At the 0.05 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 0.1 and 0.2.
less than 0.001.
between 0.02 and 0.05.
between 0.001 and 0.01.
between 0.05 and 0.1.