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, what is his risk (alpha) of concluding that service life is out of control when it is actually under control (Type I error)?
Sample |
Service Life (hours) |
|||
1 |
495 |
500 |
505 |
500 |
2 |
525 |
515 |
505 |
515 |
3 |
470 |
480 |
460 |
470 |
0.0026 |
||
0.0456 |
||
0.3174 |
||
0.6826 |
||
0.9544 |
A design engineer wants to construct a sample mean chart for controlling the service life of...
QUESTION 13 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: Service life in hours Sample 1 Sample 2 Sample 3 Sample 4...
QUESTION 12 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: Service life in hours Sample 1 Sample 2 Sample 3 Sample 4...
I need help with my test review question please 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: Service life in hours Sample...
A junior engineer has to build a sample mean chart for the machines making Oreo cookies. He knows from numerous previous samples that this service life of the cream injectors is normally distributed with a mean of 760 hours and a standard deviation of 41.5 hours. In the last three weeks, he tested the service life on random samples of four production runs with these results: Sample Hours 1 721 765 762 784 2 784 782 764 747 3 764...
A junior engineer has to build a sample mean chart for the machines making Oreo cookies. He knows from numerous previous samples that this service life of the cream injectors is normally distributed with a mean of 760 hours and a standard deviation of 41.5 hours. In the last three weeks, he tested the service life on random samples of four production runs with these results: Sample Hours 1 761 767 781 759 2 788 782 762 755 3 779...
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 6724 with a mean life of 645 minutes. If the claim is true, in a sample of 152 batteries, what is the probability that the mean battery life would differ from the population mean by more than 8 minutes? Round your answer to four decimal places.