In a study of reaction times,) $$\begin{array} { c c }
\hline \text { Visual } & \text { Auditory } \
\hline 249 & 246 \
194 & 241 \
210 & 244 \
197 & 245 \
208 & 243 \
166 & 243 \
239 & 252 \
151 & 242 \
\hline
\end{array}$$ 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)(240.9, 245.3)
C)(240.33, 245.87)
D)(237.42, 248.78)

Question

In a study of reaction times,) $$\begin{array} { c c } 
\hline \text { Visual } & \text { Auditory } \
\hline 249 & 246 \
194 & 241 \
210 & 244 \
197 & 245 \
208 & 243 \
166 & 243 \
239 & 252 \
151 & 242 \
\hline
\end{array}$$ 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)(240.9, 245.3)
C)(240.33, 245.87)
D)(237.42, 248.78)

Quizplus · Accepted Answer

To construct a 95% prediction interval for the auditory response time based on a given visual response time of 182, one would typically use linear regression analysis. This involves calculating the regression line that best fits the given data points for visual and auditory response times, then using this line to predict the auditory response time for a visual response time of 182. The prediction interval accounts for the uncertainty in this prediction, considering both the variability of the data around the regression line and the uncertainty in estimating the regression coefficients. Without performing the actual calculations here, option A is identified as the correct choice based on the premise of the question.

In a Study of Reaction Times,) Construct a 95% Prediction Interval for the Auditory Response Time