Question

# Given two dependent random samples with the following results: Population 1 20 22 44 42 28...

Given two dependent random samples with the following results:

 Population 1 Population 2 20 22 44 42 28 48 39 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.

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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.

 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 )

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