A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results

If he uses upper and lower control limits of 520 and 480 hours, on what sample(s)(if any)does service life appear to be out of control?
A)sample 1
B)sample 2
C)sample 3
D)both samples 2 and 3
E)all samples are in control

Question

A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results

If he uses upper and lower control limits of 520 and 480 hours, on what sample(s) (if any) does service life appear to be out of control?

If he uses upper and lower control limits of 520 and 480 hours, on what sample(s)(if any)does service life appear to be out of control?
A)sample 1 
B)sample 2 
C)sample 3 
D)both samples 2 and 3 
E)all samples are in control

Quizplus · Accepted Answer

The Answer of A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results

If he uses upper and lower control limits of 520 and 480 hours, on what sample(s)(if any)does service life appear to be out of control?
A)sample 1 
B)sample 2 
C)sample 3 
D)both samples 2 and 3 
E)all samples are in control

A Design Engineer Wants to Construct a Sample Mean Chart