The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 9 observations from one population

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The null and alternate hypotheses are:

H0 : μ1 = μ2
H1 : μ1 ≠ μ2

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?

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.