Question

Given two dependent random samples with the following results:

Population 1	46	37	39	26	31	27	22
Population 2	42	44	37	22	45	25	31

Use this data to find the 95% confidence interval for the true difference between the population means. Assume that both populations are normally distributed.

Step 1 of 4: Find the point estimate for the population mean of the paired differences. Let x1 be the value from Population 1 and x2 be the value from Population 2 and use the formula d=x2−x1d=x2−x1 to calculate the paired differences. Round your answer to one decimal place.

Step 2 of 4: Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.

Step 3 of 4: Calculate the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

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

Answer 1

The statistical software output for this problem is :

1)

point estimate = 2.6

2)

sample standard deviation = 7.299706

3)

Margin of error = 6.751102

4)

-4.2 to 9.3