In: Statistics and Probability
Given two dependent random samples with the following results:
Population 1: 36 48 33 20 31 31 19
Population 2: 26 45 38 28 17 39 28
Use this data to find the 90% confidence interval for the true difference between the population means. Let d=(Population 1 entry)−(Population 2 entry). Assume that both populations are normally distributed.
Step 1 of 4:
Find the mean of the paired differences, d‾‾ (line goes above d). Round your answer to one decimal place.
Step 2 of 4:
Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Step 3 of 4:
Find the standard deviation of the paired differences to be used in constructing the confidence interval. Round your answer to one decimal place.
Step 4 of 4:
Construct the 90% confidence interval. Round your answers to one decimal place.