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 22 and a sample standard deviation of 4.7. A random sample of 9 observations from another population revealed a sample mean of 26 and a sample standard deviation of 3.6.

At the 0.10 significance level, is there a difference between the population means?

a. State the decision rule

b. Compute the pooled estimate of the population variance

c. Compute the test statistic