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
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:
| Sample | Hours | |||
| 1 | 502 | 491 | 472 | 492 |
| 2 | 511 | 491 | 503 | 499 |
| 3 | 490 | 511 | 512 | 498 |
What is the sample mean service life for sample 2? (Keep two decimal places)
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