The null and alternate hypotheses are:

H₀ : ₁ = ₂

H₁ : _{1 2}

A random sample of 8 observations from one population revealed a sample mean of 23 and a sample standard deviation of 2.5. A random sample of 9 observations from another population revealed a sample mean of 25 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.)

The decision rule is to reject H₀ if t < or t > .

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

Pooled estimate of the population variance

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

Test statistic

d.	State your decision about the null hypothesis.

H₀ .

e.	The p-value is

.