664 HW4 Solns

664 HW4 Solns - Statistics 664 Autumn 2010 Homework 4...

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Statistics 664 – Autumn 2010 Homework 4 Solutions 6.2 (a) From Minitab we get the following charts. 19 17 15 13 11 9 7 5 3 1 15.0 12.5 10.0 7.5 5.0 Sample Sample Mean _ _ X= 10.32 UCL= 14.88 LCL= 5.77 19 17 15 13 11 9 7 5 3 1 16 12 8 4 0 Sample Sample Range _ R= 6.25 UCL= 14.26 LCL= 0 Xbar and R Chart All points in both charts are with the control limits so the process appears to be in control. (Note: An acceptable alternative answer is the following. The nominal output voltage is supposed to be 350V. This means that the x i values should fluctuate around 0, i.e., that the center line in our xbar chart should be 0. The upper and lower control limits would then be LCL = -4.55 and UCL = 4.56. Since all the points are above 5.77, every point would be above the UCL and the process would be declared out of control).
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6.3 (a) From Minitab we get the following charts. 19 17 15 13 11 9 7 5 3 1 40 20 0 -20 Sample Sample Mean _ _ X= 10.9 UCL= 47.53 LCL= -25.73 19 17 15 13 11 9 7 5 3 1 150 100 50
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664 HW4 Solns - Statistics 664 Autumn 2010 Homework 4...

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