The number of hours of training time received by employees and the time it took

Question

The number of hours of training time received by employees and the time it took (in minutes) for them to trouble shoot their last process problem was estimated using a regression equation. The 95% prediction interval for trouble shooting time with 8 hours of training was determined to be 12.822 to 19.261. What is the correct interpretation of this prediction interval? A. The troubleshooting time by a line worker who received 8 hours of training will be between 12.822 and 19.261 minutes 95% of the time. B. We can be 95% confident that troubleshooting times will be between 12.822 and 19.261 minutes. C. We can be 95% confident that the average trouble time by line workers receiving 8 hours of training is between 12.822 and 19.261 minutes. D. We can be 95% confident that the trouble time by a particular line worker who received 8 hours of training will be between 12.822 and 19.261 minutes.

Explanation / Answer

The prediction interval represent that a single future observation will be contained within that interval with certain probability. Here, 95% prediction interval implies that the troubleshooting time by a line worker who received 8 hours of training will be between 12.822 and 19.261 minutes 95% of the time. Hence, Option (A) is the correct choice. (Ans).

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