Question

Given two dependent random samples with the following results:

Population 1	20	22	44	42	28	48	39
Population 2	30	30	32	45	18	43	32

Use this data to find the 99% confidence interval for the true difference between the population means. Assume that both populations are normally distributed.

Copy Data

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:

Use the 99% confidence interval for the true difference between the population means. Assume that both populations are normally distributed.

Step 4 of 4:

Construct the 99% confidence interval. Round our answers to one decimal places.

Answer 1

Number	X2	X1	Difference
	30	20	10	140.5918
	30	22	8	97.1633
	32	44	-12	102.8776
	45	42	3	23.5918
	18	28	-10	66.3061
	43	48	-5	9.8776
	32	39	-7	26.4490
Total	230	243	-13	466.8571

Step 1

Point Estimate =

Step 2

Step 4

Confidence Interval :-

Critical value

Lower Limit =
Lower Limit = -14.2
Upper Limit =
Upper Limit = 10.5
99% Confidence interval is ( -14.2 , 10.5 )