A Certain Manufacturer Is Interested in Evaluating Two Alternative Manufacturing

Short Answer

A certain manufacturer is interested in evaluating two alternative manufacturing plans consisting of different machine layouts. Because of union rules, hours of operation vary greatly for this particular manufacturer from one day to the next. Twenty-eight random working days were selected and each plan was monitored and the number of items produced each day was recorded. Some of the collected data is shown below: $\begin{array}{c|c|c}\text { DAY } & \text { PLAN 1 OUTPUT } & \text { PLAN 2 OUTPUT } \\\hline 1 & 1234 \text { units } & 1311 \text { units } \\2 & 1355 \text { units } & 1366 \text { units } \\3 & 1300 \text { units } & 1289 \text { units } \\\downarrow & \downarrow & \downarrow\end{array}$

It was desired to test to determine if the distribution of output for plan 2 was shifted to the right of the distribution of output for plan 1 . What type of nonparametric analysis should be used?
A) The Sign Test
B) The Wilcoxon Rank Sum Test
C) The Wilcoxon Signed Rank Test
D) The Kruskal-Wallis $\mathrm { H }$ -Test
E) The Friedman $\mathrm { F } _ { \mathrm { r } }$ -Test