SOLUTION: The lengths of nails produced in a factory are normally distributed with a mean of 6.02 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separat

Algebra ->  Probability-and-statistics -> SOLUTION: The lengths of nails produced in a factory are normally distributed with a mean of 6.02 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separat      Log On


   

Question 1026633: The lengths of nails produced in a factory are normally distributed with a mean of 6.02 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 9% and the bottom 9%. These lengths could serve as limits used to identify which nails should be rejected
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The lengths of nails produced in a factory are normally distributed with a mean of 6.02 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 9% and the bottom 9%. These lengths could serve as limits used to identify which nails should be rejected
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Because of symmetry you only have to find
the z-value with a left-tail of 0.09
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invNorm(0.09) = -1.3408
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Lower limit:: -1.3408*0.05 + 6.02
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Upper limit:: +1.3408*0.05 + 6.02
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Cheers,
Stan H.
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