An army depot that overhauls ground mobile radar systems is interested in improving its processes.One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system.The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component.Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employees.Thestandard error of the mean difference is $$\begin{array} { | c | c | c | }
\hline \begin{array} { c }
\text { Without Standard } \
\text { Work Procedure }
\end{array} & \begin{array} { c }
\text { With Standard } \
\text { Work Procedure }
\end{array} & \begin{array} { c }
\text { Difference } \
\text { Without - With }
\end{array} \
\hline 142 & 119 & 23 \
\hline 144 & 118 & 26 \
\hline 153 & 126 & 27 \
\hline 148 & 119 & 29 \
\hline 146 & 121 & 25 \
\hline 149 & 125 & 24 \
\hline 138 & 116 & 22 \
\hline 145 & 120 & 25 \
\hline 153 & 124 & 29 \
\hline 160 & 138 & 22 \
\hline 163 & 135 & 28 \
\hline 170 & 144 & 26 \
\hline 169 & 142 & 27 \
\hline 151 & 128 & 23 \
\hline 152 & 131 & 21 \
\hline 167 & 141 & 26 \
\hline 164 & 140 & 24 \
\hline 165 & 140 & 25 \
\hline 163 & 138 & 25 \
\hline
\end{array}$$
A)25.105
B)2.307
C)0.529
D)4.3589
E)None of the above.

Question

An army depot that overhauls ground mobile radar systems is interested in improving its processes.One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system.The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component.Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employees.Thestandard error of the mean difference is $$\begin{array} { | c | c | c | } 
\hline \begin{array} { c } 
\text { Without Standard } \
\text { Work Procedure }
\end{array} & \begin{array} { c } 
\text { With Standard } \
\text { Work Procedure }
\end{array} & \begin{array} { c } 
\text { Difference } \
\text { Without - With }
\end{array} \
\hline 142 & 119 & 23 \
\hline 144 & 118 & 26 \
\hline 153 & 126 & 27 \
\hline 148 & 119 & 29 \
\hline 146 & 121 & 25 \
\hline 149 & 125 & 24 \
\hline 138 & 116 & 22 \
\hline 145 & 120 & 25 \
\hline 153 & 124 & 29 \
\hline 160 & 138 & 22 \
\hline 163 & 135 & 28 \
\hline 170 & 144 & 26 \
\hline 169 & 142 & 27 \
\hline 151 & 128 & 23 \
\hline 152 & 131 & 21 \
\hline 167 & 141 & 26 \
\hline 164 & 140 & 24 \
\hline 165 & 140 & 25 \
\hline 163 & 138 & 25 \
\hline
\end{array}$$
A)25.105
B)2.307
C)0.529
D)4.3589
E)None of the above.

Quizplus · Accepted Answer

The standard error of the mean difference is calculated using the formula $\sigma_{\bar{d}} = \frac{s_d}{\sqrt{n}}$, where $s_d$ is the standard deviation of the differences and $n$ is the sample size. Given the data, the standard deviation of the differences can be calculated, and with $n = 19$, the standard error of the mean difference can be found. The correct answer, 0.529, matches the calculation based on the provided data and formula.

An Army Depot That Overhauls Ground Mobile Radar Systems Is