Question

# Given two dependent random samples with the following results: Population 1: 48, 18, 22, 31, 18,...

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.

 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 )

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