A Large Faculty at a University Is Deciding to Upgrade $\quad$

Essay

A large faculty at a university is deciding to upgrade their computers. They have narrowed their selection down to two different brands of computers. The keyboard design for each of these two brands is different, and faculty management is trying to ascertain which keyboard administration staff will work faster with.
The faculty randomly selected ten administration staff. The typing speed (number of words per minute, wpm) was recorded for each member in the sample on each of the two different brands of computer keyboards. The following results were obtained. $\quad$ $\quad$ $\quad$ $\quad$$\text { Computer Keyboard: wpm }$
$\begin{array} { | l | c | c | } \hline \text { Staff menber } & \text { Brand A } & \text { Brand B } \\\hline \text { Amy } & 75 & 75 \\\hline \text { Brad } & 85 & 86 \\\hline \text { Lee } & 65 & 72 \\\hline \text { Donna } & 79 & 70 \\\hline \text { Mark } & 91 & 85 \\\hline \text { Faith } & 80 & 73 \\\hline \text { Amir } & 83 & 72 \\\hline \text { Heather } & 74 & 80 \\\hline \text { Tom } & 75 & 79 \\\hline \text { Jody } & 70 & 64 \\\hline\end{array}$ Assume that the typing speeds are not normally distributed.
Perform the sign test to determine whether these data provide enough evidence at the 5% significance level to infer that the brands differ with respect to typing speed.