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IEE380Summer09_Q6_Solutions

IEE380Summer09_Q6_Solutions - distributed random variable...

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IEE 380 Summer 2009 Name:__________________________ Quiz #6A The time to complete a manual task in a manufacturing operation is considered to be a normally distributed random variable with mean .50 minutes and standard deviation of .05 minutes. A sample of 49 is taken. What is the probability that the sample mean (from these 49 observations) is less than .495 minutes? IEE 380 Summer 2009 Name:__________________________ Quiz #6B The viscosity of a fluid is a normally distributed random variable with mean of 1.20 centipoise and variance of .06 centipoise 2 . Thirty-six samples of this fluid are taken. What is the probability that the sample mean of these samples exceeds 1.22 centipoise? ( 29 242 . ) 7 . ( 7 . 49 05 . 50 . 495 . ) 495 . ( = - Φ = - < = - < - = < Z P n X P X P σ μ ( 29 312 . 688 . 1 ) 49 (. 1 49 . 36 06 . 20 . 1 22 . 1 ) 22 . 1 ( = - = Φ - = = - < - = Z P n X P X P σ μ

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IEE 380 Summer 2009 Name:__________________________ Quiz #6C The time to complete a manual task in a manufacturing operation is considered to be a normally
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Unformatted text preview: distributed random variable with mean .50 minutes and standard deviation of .05 minutes. A sample of 49 is taken. What is the probability that the sample average (from these 49 observations) is less than . 495 minutes? IEE 380 Summer 2009 Name:__________________________ Quiz #6D The viscosity of a fluid is a normally distributed random variable with mean of 1.2 centipoise and variance of .06 centipoise 2 . Thirty-six samples of this fluid are taken. What is the probability that the sample mean of these samples exceeds 1.22 centipoise? ( 29 242 . ) 7 . ( 7 . 49 05 . 50 . 495 . ) 495 . ( =-Φ =-< = -<-= < Z P n X P X P σ μ ( 29 312 . 688 . 1 ) 49 (. 1 49 . 36 06 . 20 . 1 22 . 1 ) 22 . 1 ( =-= Φ-= = -<-= Z P n X P X P...
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IEE380Summer09_Q6_Solutions - distributed random variable...

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