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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