SOLUTION: A product has a mean life of 660 hours, and a standard deviation of 45 hours. A business buys 100 such products at random. What is the probability that the mean life of those 100 p

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Question 360219: A product has a mean life of 660 hours, and a standard deviation of 45 hours. A business buys 100 such products at random. What is the probability that the mean life of those 100 products would be greater than 650 hours?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A product has a mean life of 660 hours, and a standard deviation of 45 hours. A business buys 100 such products at random. What is the probability that the mean life of those 100 products would be greater than 650 hours?
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t(650) = (650-660)/[45/sqrt(100)] = -2.2222
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P(x-bar > 650) = P(t > -2.2222 when df = 99) = 0.9857
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Cheers,
Stan H.