The null and alternate hypotheses are: H 0 : 1 = 2 H 1 :

The null and alternate hypotheses are:

H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

A random sample of 10 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5. At the .05 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

(d) State your decision about the null hypothesis

(e) Estimate the p-value.