Question

Given two dependent random samples with the following results: Population 1 41 33 18 34 42...

Given two dependent random samples with the following results:

Population 1 41 33 18 34 42 39 50
Population 2 50 29 29 28 47 24 44

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.

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