SOLUTION: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches, and a standard deviation of 10 inches. What is the probability that th

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Question 828051: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches, and a standard
deviation of 10 inches. What is the probability that the mean annual snowfall during 64 randomly picked years will exceed 72.8
inches

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches, and a standard
deviation of 10 inches. What is the probability that the mean annual snowfall during 64 randomly picked years will exceed 72.8 inches.
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z(72.8) = (72.8-70)/[10/sqrt(64)] = = 2.8/(10/8) = 2.24
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P(x-bar > 72.8) = P(z > 2.24) = 0.0125
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Cheers,
Stan H.
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