SOLUTION: The distribution of the diameters of a particular variety of oranges is approximately Normal with a standard deviation of 0.3 inch. How does the diameter of an orange at the 67th p

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Question 428380: The distribution of the diameters of a particular variety of oranges is approximately Normal with a standard deviation of 0.3 inch. How does the diameter of an orange at the 67th percentile compare with the mean diameter?
Answer by stanbon(75887) About Me  (Show Source):
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The distribution of the diameters of a particular variety of oranges is approximately Normal with a standard deviation of 0.3 inch. How does the diameter of an orange at the 67th percentile compare with the mean diameter?
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Find the z-value with a left-tail of 0.67:
invNorm(0.67) = 0.4399
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Find the corresponding x-value:
x = zs + u
x = 0.4399*0.3+u
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x = u + 0.1320 inches
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Cheers,
Stan H.
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