SOLUTION: A child is 40 inches tall, which places her in the top 10% of all children in similar age. The mean height for such children is 38 inches. Based on this information, what is the st

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Question 102834: A child is 40 inches tall, which places her in the top 10% of all children in similar age. The mean height for such children is 38 inches. Based on this information, what is the standard deviation?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A child is 40 inches tall, which places her in the top 10% of all children in similar age. The mean height for such children is 38 inches. Based on this information, what is the standard deviation?
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The z-score which separates the top 10% of a normally distributed
population is 1.282.
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Since z = (x-u)/sigma
1.282 = (40-38)/sigma
sigma = 2/1.282
sigma = 1/0.641 = 1561
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Cheers,
Stan H..