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4. Suppose you measured a sample of a product that is known to be normally distributed. You found that 40% are greater than 9

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Answer #1

from standard normal table ;for top 40% and bottom 10% , crtiical z are 0.25 and -1.28

Therefore

μ +0.25σ =9 .............(1)

μ -1.28σ =7 .............(2)

solving above:

σ=(9-7)/(0.25+1.28)=1.3072

and μ=9-0.25*1.3072 =8.6732

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