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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 Service Life (hours)
1495500505500
2525515505515
3470480460470
What is the standard deviation of the sampling distribution of sample means for whenever service life is in control?
Group of answer choices
5 hours
6.67 hours
10 hours
11.55 hours
20 hours

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