Question 1114452: Women have head circumferences that are normally distributed with a mean given by mu equals 24.83 in., and a standard deviation given by sigma equals 0.8 in.
b. If the company wants to produce hats to fit all women except for those with the smallest 1.5% and the largest 1.5% head circumferences, what head circumferences should be accommodated?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Women have head circumferences that are normally distributed with a mean given by mu equals 24.83 in., and a standard deviation given by sigma equals 0.8 in.
b. If the company wants to produce hats to fit all women except for those with the smallest 1.5% and the largest 1.5% head circumferences, what head circumferences should be accommodated?
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Find the z-values with a left and a right tail of 0.985
+/-invNorm(0.985) = +/-2.17
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Find the corresponding hat sizes::
x = 24.83+/-2.17*0.8
x = 25.736" or x = 22.264"
Ans: 22.264< circumference <25.736
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Cheers,
Stan H.
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