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 760 hours and a standard deviation of 41.5 hours.
On three recent production batches, he tested service life on random samples of four headlamps with these results:
| Sample | Hours | |||
| 1 | 725 | 753 | 768 | 782 |
| 2 | 785 | 784 | 765 | 779 |
| 3 | 768 | 753 | 763 | 769 |
What is the sample mean service life for sample 3? (Keep one decimal place)
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