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A Design Engineer Wants to Construct a Sample Mean Chart

question 60

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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 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)  149550050550025255155055153470480460470\begin{array} { c c c c c } \text { Sample } & { \text { Service Life (hours) } } \\\hline 1 & 495 & 500 & 505 & 500 \\2 & 525 & 515 & 505 & 515 \\3 & 470 & 480 & 460 & 470\end{array}
What is the sample mean service life for sample 2?

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Definitions:

Hypothalamus

A small region at the base of the brain responsible for hormone production, regulation of body temperature, hunger, thirst, and circadian rhythms.

Curt Richter

An American psychologist known for his work in biological rhythms and the study of homeostasis in animals.

Suprachiasmatic Nucleus

A tiny region of the brain in the hypothalamus responsible for controlling circadian rhythms.

Master Clock

Refers to the body's internal time-keeping system, located in the brain, that regulates circadian rhythms and sleep-wake cycles.

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