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 95% prediction interval represents a range within which the true value for an individual's trouble shooting time is expected to fall, given that they received 8 hours of training. It is not about the average trouble shooting time for workers who received 8 hours of training (choice B), nor is it about the frequency with which a particular individual's troubleshooting time will fall within that range (choice C) or the frequency with which the average troubleshooting time will fall within that range (choice D). Additionally, the prediction interval is for a specific group (those who received 8 hours of training), so it cannot be generalized to all troubleshooting times (choice E).

The Number of Hours of Training Time Received by Employees