A sample of n = 16 households was selected for a study of whether their property insurance premium has changed. Matched pairs {(Xj,Yj) : 1 j 16} were collected and processed. The X-value represented the premium paid in the past year, and Y was the projected premium for the next year.

Sample summaries are shown below.

X = $2,300 and Y = $2,850 with the differences {Dj = Yj Xj : 1 j 16} that show the sample standard deviation S = $1,000

Critical value =+2.947

Test statistic = 2.20

1. Estimate the population average change D with the 95% confidence.

2. Show critical value, midpoint, and margin of error.