The Daily Production Rates for a Sample of Factory Workers $\begin{array}{ccc}\text { Worker }&\text { Before }&\text { After }\\1 & 6 & 9 \\2 & 10 & 12 \\3 & 9 & 10 \\4 & 8 & 11 \\5 & 7 & 9\end{array}$

Short Answer

The daily production rates for a sample of factory workers before and after a training program are shown below. Let d = After - Before.
$\begin{array}{ccc}\text { Worker }&\text { Before }&\text { After }\\1 & 6 & 9 \\2 & 10 & 12 \\3 & 9 & 10 \\4 & 8 & 11 \\5 & 7 & 9\end{array}$ We want to determine if the training program was effective.
a. Give the hypotheses for this problem.
b. Compute the test statistic.
c. At 95% confidence, test the hypotheses. That is, did the training program actually increase the production rates?