Given two dependent random samples with the following results:

Population 1

45 46 27 36 38 33 15 Population 2

42 32 42 41 25 28 19

Use this data to find the 95% confidence interval for the true difference between the population means.

Letd = (Population 1 entry -- (Population 2 entry).Assume that both populations are normally distributed.

Solution:

Step 1. Find the mean of the paired differences, d-bar .Round your answer to one decimal place.

Answer: ____________________

Step 2. Find the critical value that should be used in constructing the confidence interval.Round your answer to three decimal places.

Answer: ____________________

Step 3. Find the standard deviation of the paired differences to be used in constructing the confidence interval.Round your answer to one decimal place.

Answer: ____________________

Step 4. Construct the 95% confidence interval.Round your answers to one decimal place.

Answer:Lower endpoint:_______________Upper endpoint:_______________