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

question 10

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 abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. Construct a 95% confidence interval for the mean difference between the before and after scores.
$\begin{array}{lllllllllll}\text { Before } & 74 & 83 & 75 & 88 & 84 & 63 & 93 & 84 & 91 & 77 \\\hline \text { After } & 73 & 77 & 70 & 77 & 74 & 67 & 95 & 83 & 84 & 75\end{array}$

• A) \(0.2 < \mu _ { \mathrm { d } } < 7.2\)
• B) \(1.0 < \mu _ { \mathrm { d } } < 6.4\)
• C) \(1.2 < \mu _ { \mathrm { d } } < 5.7\)
• D) \(0.8 < \mu _ { \mathrm { d } } < 6.6\)

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