The null and alternate hypotheses are:

H₀: ₁= ₂

H₁: _{1 2}

A random sample of 11 observations from one population revealed a sample mean of 24 and a sample standard deviation of 4.6. A random sample of 8 observations from another population revealed a sample mean of 29 and a sample standard deviation of 4.1.

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 youranswerto 3 decimalplaces.)

The decision rule is to rejectH₀if 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 theteststatistic.(Negative amount should be indicated by a minus sign.Round your answer to 3 decimal places.)

Test statistic

d.	State your decision about the nullhypothesis.
	(Click to select)Do not rejectRejectH0.

e.	Thep-value is (Click to select)between 0.01 and 0.1between 0.02 and 0.05between 0.1 and 0.2between 0.001 and 0.01less than 0.001 .