Question

Given two dependent random samples with the following results:

Population 1	70	72	60	63	53	63	77	51
Population 2	75	62	64	61	58	67	70	61

Can it be concluded, from this data, that there is a significant difference between the two population means? Let d = d (Population 1 entry) − (Population 2 entry). Use a significance level of α = 0.1 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. Reject or Fail to regect Null Hypotthesis.

Answer 1

Attached is the required R code and the output.