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.The correct interpretation is ________________________ .
A)we can be 95% confident that the trouble shooting time by a particular line worker who received 8 hours of training will be between 12.822 and 19.261 minutes
B)we can be 95% confident that the average trouble shooting time by line workers receiving 8 hours of training is between 12.822 and 19.261 minutes
C)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
D)95% of the time the average troubleshooting time is between 12.822 and 19.261 minutes
E)we can be 95% confident that troubleshooting times will be between 12.822 and 19.261 minutes

Question

Quizplus · Accepted Answer

The correct interpretation of a prediction interval is that it gives a range within which we can be 95% confident that a single new observation (in this case, the troubleshooting time by a particular line worker who received 8 hours of training) will fall. Prediction intervals are used for individual predictions, whereas confidence intervals (not mentioned here) are used for estimating the mean of a population.

The Number of Hours of Training Time Received by Employees