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A grain laoder can be set to discharge grain in amounts that are normally distributed with mean bushels and standard deviation equal to 26.7 bushels. If a company wishes to use the loader to fill contaianers that hold 2000 bushels of grain and wants to overfill only one container in 100, at what value of mena should the company set the loader?!!

2007-11-02 09:11:37 · 1 answers · asked by Anonymous in Science & Mathematics Mathematics

1 answers

Well, the first answer I want to give is "three standard deviations below 2000, i.e. 1920"

But that's actually wrong. That gives less than a 1/2% chance each of getting >2000 or <1860 bushels.

If you're in a very elementary course, it's possible whoever wrote the problem made the same mistake I originally did ...

Anyhow, that's your hint -- how many standard deviations does one have to be away from the mean for there to be only a 1% chance of going even higher?

2007-11-03 07:32:46 · answer #1 · answered by Curt Monash 7 · 0 0

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