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. What is the value of the center line for the x-bar chart?

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