Question

Given two dependent random samples with the following results: Population 1 41 39 47 18 39...

Given two dependent random samples with the following results:

 Population 1 Population 2 41 39 47 18 39 21 34 30 37 45 22 24 31 45

Use this data to find the 80% 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.

Use this data to find the 80% confidence interval for the true difference between the population means. Assume that both populations are normally distributed.

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 80% confidence interval. Round your answers to one decimal place.

step 1:

point estimate for the population mean of the paired differences = -0.7

step 2:

 Std deviaiton SD=√(Σd2-(Σd)2/n)/(n-1) = 9.89468

Step 3 of 4:

margin of error =5.385368

Step 4 of 4:

 lower confidence limit                     = -6.1 upper confidence limit                    = 4.7

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