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

question 18

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In a study of reaction times,)  Visual  Auditory 249246194241210244197245208243166243239252151242\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.


Definitions:

Mean

The mean, often referred to as the average, is a statistic that represents the central or typical value in a set of data, calculated by dividing the sum of all values by the number of values.

Population Standard Error

A measure that estimates the variability of sample means around the population mean if multiple samples were taken from the population.

Confidence Interval

A band of values, yielded by analyzing sample data, which has a good chance of capturing the value of an unknown population variable.

Mean

The average value obtained by dividing the sum of all values in a set by the number of values.

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