Construct a Confidence Interval for µD, the Mean of the Differences

question 58

Multiple Choice

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.
$\begin{array}{llllllllllll}\text { Before } & 33 & 33 & 38 & 33 & 35 & 35 & 40 & 40 & 40 & 31 \\\hline \text { After } & 34 & 28 & 25 & 28 & 35 & 33 & 31 & 28 & 35 & 33\end{array}$

• A) \(3.8 < \mu _ { \mathrm { d } } < 5.8\)
• B) \(1.8 < \mu _ { \mathrm { d } } < 7.8\)
• C) \(2.5 < \mu _ { \mathrm { d } } < 7.1\)
• D) \(1.5 < \mu _ { \mathrm { d } } < 8.1\)

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