Question

The null and alternate hypotheses are:

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

A random sample of 11 observations from one population revealed a sample mean of 25 and a sample standard deviation of 3.5. A random sample of 4 observations from another population revealed a sample mean of 29 and a sample standard deviation of 4.5.

At the 0.01 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. (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.
	(Click to select)RejectDo not reject H0 .

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

Answer 1

a) The decision rule is to reject H₀ if t <-3.012 or t > 3.012

b) pooled estimate of population variance=14.096

c) test statistic t=-1.825

d) Do not reject H₀

e)

The p-value is )between 0.01 and 0.1