Question

Given two dependent random samples with the following results:

Population 1	59	57	77	60	59	64	72	67
Population 2	61	53	84	53	69	74	64	73

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

Copy Data

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 H0H0. 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:

Step 2 of 5:

Step 3 of 5:

Step 4 of 5:

Step 5 of 5:

By decision rule, we fail to reject H0.