In a study of reaction times, the time to respond to a visual stimulus (x) and the time to respond to an auditory stimulus (y) were recorded for each of 8 subjects. Times were measured in thousandths of A second. The results are presented in the following table.

$\begin{array} { c c }
\hline \text { Visual } & \text { Auditory } \
\hline 249 & 246 \
194 & 241 \
210 & 244 \
197 & 245 \
208 & 243 \
166 & 243 \
239 & 252 \
151 & 242 \
\hline
\end{array}$

Construct a 95% prediction interval for the auditory response time for a particular subject whose Visual response time is 182.
A) (235.94, 250.26)
B) (240.33, 245.87)
C) (240.9, 245.3)
D) (237.42, 248.78)

Question

In a study of reaction times, the time to respond to a visual stimulus (x) and the time to respond to an auditory stimulus (y) were recorded for each of 8 subjects. Times were measured in thousandths of A second. The results are presented in the following table.

$\begin{array} { c c } 
\hline \text { Visual } & \text { Auditory } \
\hline 249 & 246 \
194 & 241 \
210 & 244 \
197 & 245 \
208 & 243 \
166 & 243 \
239 & 252 \
151 & 242 \
\hline
\end{array}$

Construct a 95% prediction interval for the auditory response time for a particular subject whose Visual response time is 182.
A) (235.94, 250.26)
B) (240.33, 245.87)
C) (240.9, 245.3)
D) (237.42, 248.78)

Quizplus · Accepted Answer

To construct a 95% prediction interval for the auditory response time, one would typically use regression analysis to find the relationship between visual and auditory response times. However, without performing the actual regression analysis (calculating the regression equation, the standard error of estimate, etc.), it's not possible to directly derive the correct prediction interval from the given data. The choice provided as correct (A) is based on the assumption that a detailed statistical analysis has been performed, which would involve calculating the regression line, determining the standard error of the estimate, and using the t-distribution to construct the prediction interval for a given value of x (in this case, a visual response time of 182). This process is not shown here, but the correct answer indicates a prediction interval that would be obtained through such an analysis.

In a Study of Reaction Times, the Time to Respond