Question 34 0.5 pts A design engineer wants to construct a sample mean chart for

Question

Question 34 0.5 pts 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 below. Sample Service Life (hours) 495 500 505 500 2 525 515 505 515 3 470 480 460 470 If he uses upper and lower control limits of 540 and 460 hours what is his risk (alpha) of concluding service life is out of control when it is actually under control (Type I error)? 0.6826 0.0456 0.0026 0.3174 0.9544 earch

Explanation / Answer

The correct answer is - 0.0456

If the upper and lower control limits of 540 and 460 hours are used, then the risk of concluding service life with type 1 error is at 0.0456.

Since this is an alpha error, it will be near to 5% or 0.05. Which also means that the process is actually under control but it shows that the service life is out of control.

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