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A design engineer wants to construct a sample mean chart for controlling the ser

ID: 381838 • Letter: A

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:

What is the sample mean service life for sample 2?

Sample Hours 1 503 501 491 491 2 499 501 500 512 3 509 505 515 507

Explanation / Answer

Sample mean service life for sample 2 = average hours of four headlamps tested in sample 2

Sample mean service life for sample 2 = (499 + 501 + 500 + 512)/4 = 503

Sample mean service life for sample 2 is 503 hours

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