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
1 748 777 784 745
2 769 770 759 775
3 761 771 738 773

What is the sample mean service life for sample 3? (Keep one decimal place)

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