In an experiment designed to study the effects of illumination level on task performance, subjects were required to insert a fine-tipped probe into the eyeholes of ten needles in rapid succession both for a low light level with black background and a higher level with a white background. Each data value is the time (sec) required to complete the task.
Subject $$\begin{array} { l | c c c c c c c c c }
\hline & \mathbf { 1 } & \mathbf { 2 } & \mathbf { 3 } & \mathbf { 4 } & \mathbf { 5 } & \mathbf { 6 } & \mathbf { 7 } & \mathbf { 8 } & \mathbf { 9 } \
\hline \text { Black } & 25.01 & 41.05 & 27.47 & 25.74 & 24.96 & 28.84 & 25.85 & 20.89 & 32.05 \
\text { White } & 16.61 & 24.98 & 24.59 & 19.68 & 16.07 & 20.84 & 18.23 & 19.50 & 22.96 \
\hline
\end{array}$$ Compute in interval estimate for the difference between true average task time under the high illumination level and true average time under the low level.

Question

In an experiment designed to study the effects of illumination level on task performance, subjects were required to insert a fine-tipped probe into the eyeholes of ten needles in rapid succession both for a low light level with black background and a higher level with a white background. Each data value is the time (sec) required to complete the task.
Subject $$\begin{array} { l | c c c c c c c c c } 
\hline & \mathbf { 1 } & \mathbf { 2 } & \mathbf { 3 } & \mathbf { 4 } & \mathbf { 5 } & \mathbf { 6 } & \mathbf { 7 } & \mathbf { 8 } & \mathbf { 9 } \
\hline \text { Black } & 25.01 & 41.05 & 27.47 & 25.74 & 24.96 & 28.84 & 25.85 & 20.89 & 32.05 \
\text { White } & 16.61 & 24.98 & 24.59 & 19.68 & 16.07 & 20.84 & 18.23 & 19.50 & 22.96 \
\hline
\end{array}$$ Compute in interval estimate for the difference between true average task time under the high illumination level and true average time under the low level.

Quizplus · Accepted Answer

The Answer of In an experiment designed to study the effects of illumination level on task performance, subjects were required to insert a fine-tipped probe into the eyeholes of ten needles in rapid succession both for a low light level with black background and a higher level with a white background. Each data value is the time (sec) required to complete the task.
Subject $$\begin{array} { l | c c c c c c c c c } 
\hline & \mathbf { 1 } & \mathbf { 2 } & \mathbf { 3 } & \mathbf { 4 } & \mathbf { 5 } & \mathbf { 6 } & \mathbf { 7 } & \mathbf { 8 } & \mathbf { 9 } \
\hline \text { Black } & 25.01 & 41.05 & 27.47 & 25.74 & 24.96 & 28.84 & 25.85 & 20.89 & 32.05 \
\text { White } & 16.61 & 24.98 & 24.59 & 19.68 & 16.07 & 20.84 & 18.23 & 19.50 & 22.96 \
\hline
\end{array}$$ Compute in interval estimate for the difference between true average task time under the high illumination level and true average time under the low level.

In an Experiment Designed to Study the Effects of Illumination