SOLUTION: Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance. Resistors of M1 are found to follow normal distribution with mea

Question 1159316: Two machines M1, M2 are used to manufacture resistors with a design
specification of 1000 ohm with 10% tolerance. Resistors of M1 are found to
follow normal distribution with mean 1050 ohm and standard deviation of 100
ohm, while those of M2 are found to follow normal distribution with mean 1000
ohm and standard deviation of 120 ohm. Which machine do you prefer? Why?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The first lot has mean of 1050 and sd of 100
z=(x-mean)/sd. Compare z scores and their resultant probability
the tolerance required is between 900 and 1100 ohms and that is between -1.5 and 0.5 sd or 62.5% probability
The second one has mean of 1000 and sd of 120
now the 900 to 1100 range are within +/- 0.83 sd That is about 59.5%.
Use M1.
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