SOLUTION: The diameters of a wooden dowel produced by a new machine are normally distributed with a mean of 0.55 inches and a standard deviation of 0.01 inches. What percent of the dowels wi

Question 237427: The diameters of a wooden dowel produced by a new machine are normally distributed with a mean of 0.55 inches and a standard deviation of 0.01 inches. What percent of the dowels will have a diameter less than 0.56?
(5 points)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The diameters of a wooden dowel produced by a new machine are normally distributed with a mean of 0.55 inches and a standard deviation of 0.01 inches. What percent of the dowels will have a diameter less than 0.56?
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Find the z-value of 0.56.
z(0.56) = (0.56-0.55)/0.01 = 0.01/0.01 = 1
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P(x < 0.56) = P(z < 1) = 0.8413 = 84.13%
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Cheers,
Stan H.
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