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 96% prediction interval for trouble shooting time with 8 hours of training was determined to be 12.822 to 19.261, What s the correct interpretation of this prediction interval?

A. We can be 95% confident that troubleshooting times will be between 12.822 and 19.261 minutes.
B. 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.
C. 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.
D. 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.

Answer 1

The correct option is (A).

Explanation:

The 95% confidence interval for estimating the trouble shooting time with 8 hours of training was determined to be 12.822 minutes to 19.261 minutes.

The 95% confidence interval for the true trouble shooting time implies that there is a 0.95 probability that the true value of the trouble shooting time is included in the interval (12.822, 19.261) minutes.

Or, the 95% confidence interval for the trouble shooting time implies that there is 95% confidence or certainty that the true trouble shooting time value is contained in the interval (12.822, 19.261) minutes.

Thus, the correct option is (A).