Question

Given two dependent random samples with the following results:

Population 1	69	70	61	69	50	56	70	64
Population 2	77	68	63	65	59	58	63	68

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=0.1α=0.1 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 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

The statistical software output for this problem is:

Hence,

Step - 1: Ho: = 0

Ha: 0

Step - 2: Standard deviation = 5.6

Step - 3: Test statistic = -0.757

Step - 4: Decision: Reject Ho if |t| > 1.895

Step - 5: Fail to Reject Null Hypothesis