Question

Given two dependent random samples with the following results:

Population 1	54	83	68	66	62	60	70	62
Population 2	59	74	76	64	64	69	67	64

Can it be concluded, from this data, that there is a significant difference between the two population means?

Let d=(Population 1 entry)−(Population 2 entry) . Use a significance level of α=0.01 for the test. Assume that both populations are normally distributed.

Step 1 of 5:

State the null and alternative hypotheses for the test.

Step 2 of 5:

Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.

Step 3 of 5:

Compute the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5:

Determine the decision rule for rejecting the null hypothesis H0 . Round the numerical portion of your answer to three decimal places.

Step 5 of 5:

Make the decision for the hypothesis test.

Answer 1

Step 1 of 5:

null Hypothesis:		μd	=	0
alternate Hypothesis:		μd	≠	0

Step 2 of 5: value of the standard deviation of the paired differences =6.0

Step 3 of 5: value of the test statistic =-0.707 (try -0.704 if this comes wrong)

Step 4 of 5: : Decision rule:Reject HO if t <-3.499 or t>3.499

Step 5 of 5: fail to reject Ho