Question

Given two dependent random samples with the following results:

Population 1: 48, 18, 22, 31, 18, 26, 40

Population 2, 45, 28, 24, 19, 27, 36, 30

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−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% confidence interval. Round your answers to one decimal place.

Answer 1

Number	Population 2	Population 1	Difference
	45	48	-3	14.877551
	28	18	10	83.5918367
	24	22	2	1.30612245
	19	31	-12	165.306122
	27	18	9	66.3061224
	36	26	10	83.5918367
	30	40	-10	117.877551
Total	209	203	6	532.857143

Margin of Error =

Confidence Interval :-



Lower Limit =
Lower Limit = -7.8584
Upper Limit =
Upper Limit = 9.5727
95% Confidence interval is ( -7.9 , 9.6 )