Construct a confidence interval for µd, the mean of the differences d for the po

Question

Construct a confidence interval for µd, the mean of the differences d for the population of paired data. Assume that the population of paired differences is normally distributed.

Ten different families are tested for the number of gallons of water a day they use before and after viewing a conservation video. Construct a 90% confidence interval for the mean of the differences.

Before 33 33 38 33 35 35 40 40 40 31
After 34 28 25 28 35 33 31 28 35 33



a. 2.5 < µd < 7.1

b. 1.8 < µd < 7.8

c. 1.5 < µd < 8.1

d. 3.8 < µd < 5.8

Explanation / Answer

d = before-after. 1.8 <

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