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

question 16

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.
-A test of writing ability is given to a random sample of students before and after they completed a formal writing course. The results are given below. Construct a 99% confidence interval for the mean difference between the before and after scores.
$\begin{array} { l l l l l l l l l l l l } \text{Before} & 70 & 80 & 92 & 99 & 93 & 97 & 76 & 63 & 68 & 71 & 74 \\ \hline \text{After} & 69 & 79 & 90 & 96 & 91 & 95 & 75 & 64 & 62 & 64 & 76 \end{array}$

• A) \(- 0.5 < \mu _ { \mathrm { d } } < 4.5\)
• B) \(- 0.1 < \mu _ { \mathrm { d } } < 4.1\)
• C) \(1.2 < \mu _ { \mathrm { d } } < 2.8\)
• D) \(- 0.2 < \mu _ { \mathrm { d } } < 4.2\)

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