Question

The null and alternate hypotheses are:

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

A random sample of 12 observations from Population 1 revealed a sample mean of 22 and sample deviation of 4.5. A random sample of 4 observations from Population 2 revealed a sample mean of 23 and sample standard deviation of 4.8. The underlying population standard deviations are unknown but are assumed to be equal.

At the .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. (Carry at least 3 decimal places in all intermediate calculations. 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

Answer 1