ECE4802_Exam_1_Su07_StudyProblems

# ECE4802_Exam_1_Su07_StudyProblems - ECE 4802A Project...

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ECE 4802A -- Project Engineering and Professional Practice EXAM #1 Study Problems Summer 2007 Page 1 of 32 1. Statistics in Engineering Design

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ECE 4802A -- Project Engineering and Professional Practice EXAM #1 Study Problems Summer 2007 Page 2 of 32 1. Statistics in Engineering Design (Solution)
ECE 4802A -- Project Engineering and Professional Practice EXAM #1 Study Problems Summer 2007 Page 3 of 32 2. Statistics in Engineering Design

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ECE 4802A -- Project Engineering and Professional Practice EXAM #1 Study Problems Summer 2007 Page 4 of 32 2. Statistics in Engineering Design (Solution)
ECE 4802A -- Project Engineering and Professional Practice EXAM #1 Study Problems Summer 2007 Page 5 of 32 3. Statistics in Engineering Design

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ECE 4802A -- Project Engineering and Professional Practice EXAM #1 Study Problems Summer 2007 Page 6 of 32 3. Statistics in Engineering Design (Solution)
ECE 4802A -- Project Engineering and Professional Practice EXAM #1 Study Problems Summer 2007 Page 7 of 32 4. Statistics in Engineering Design with Process Capability A square notch is fabricated in 1,000,000 machined parts. Assume that the area of the notch is A = W x L, where the notch dimensions are width = W and length = L. Measurement of notch dimensions have established the following statistics: Mean value of W = 0.525 inches Mean value of L = 0.375 inches Standard deviation of W = 0.007 inches Standard deviation of L = 0.012 inches Compute the expected mean and standard deviation for the area of the notch. Expected mean value of notch area A =_______________________ Expected standard deviation of notch area A =_______________________ Notches either too large, or too small, in area are deemed to be defective. Assuming a Cp value of 1.5, specify the upper and lower specification limits for the area A of the notch. USL = _____________________________ LSL = ________________________________ How many parts out of the batch of 1,000,000 are expected to be defective? Number of parts defective = _____________________________

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ECE 4802A -- Project Engineering and Professional Practice EXAM #1 Study Problems Summer 2007 Page 8 of 32 4. Statistics in Engineering Design with Process Capability (Solution)
ECE 4802A -- Project Engineering and Professional Practice EXAM #1 Study Problems Summer 2007 Page 9 of 32 5. Statistics Consider a Gaussian distribution of X with a mean of μ and a standard deviation of σ . Answer the following questions about the transformed Z standard normal distribution. A. The standard normal distribution has? 1. A mean of 1 and a standard deviation of 1. 2. A mean larger than its standard deviation. 3. A mean smaller than its standard deviation. 4. All values of Z lie within one standard deviation of the mean. B. A distribution of X values has a mean of 3.1 and a standard deviation of 2.4. A value of X equal to 2.4 standard deviations below the mean has? 1. A Z score of 1. 2. A Z score of -1. 3. A Z score of -2.4. 4. A Z score of 2.4. C. For the distribution X in Part B above, what is the Z value/score corresponding to an X value of 5?

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ECE4802_Exam_1_Su07_StudyProblems - ECE 4802A Project...

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