Question

The null and alternate hypotheses are:

H0 : μ1 = μ2

H1 : μ1 ≠ μ2

A random sample of 10 observations from Population 1 revealed a sample mean of 21 and sample deviation of 5. A random sample of 4 observations from Population 2 revealed a sample mean of 22 and sample standard deviation of 5.1. 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:

(d)	State your decision about the null hypothesis.
	(Do not reject or Reject) H0 .

Answer 1