SOLUTION: Consider a normal distribution curve where the middle 15 % of the area under the curve lies above the interval ( 6 , 17 ). Use this information to find the mean, μ , and the stand
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Question 1138407: Consider a normal distribution curve where the middle 15 % of the area under the curve lies above the interval ( 6 , 17 ). Use this information to find the mean, μ , and the standard deviation, σ , of the distribution.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The middle 15% is between 0.4250 and 0.5750, and this is z between -0.19 and +0.19
z=(x-mean)/sd
The mean is middle of 6 and 17 or 11.5
SD--0.19=(17-11.5)/SD
0.19 SD=5.5
SD=28.95 or 29
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