# HW1 - IEMS307Homework#1 1 Below is a control chart for the...

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IEMS 307          Homework #1 1)   Below is a control chart for the dimension called wingspan of a part that is eventually used in a staple remover. 0 Subgroup 5 10 15 20 25 30 35 1.5505 1.5515 1.5525 1.5535 Sample Mean Mean=1.552 0.000 0.001 0.002 0.003 0.004 0.005 0.006 Sample Range R=0.0026 UCL=0.005498 LCL=0 Xbar/R Chart for Wingspan a) (5 points) What is the size of the subgroups in the chart?  Show your work. b) (5  points)   Assuming  that  the  distribution  is  normally  distributed,   sketch  the distribution of the wingspan on a numberline.   (Hint: Label the ticks on the numberline and show a normal distribution above the line that looks like what you would expect a histogram of the data to look like.) c) (5 points)  The specification for Wingspan is 1.550 0.005. Calculate C p , C pk for the wingspan. Is the process capable? d) (5 points)  What percentage of parts would you expect to meet specifications? 1 Wingspan

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2.   I once visited the Ford Research Center. They showed us a lab where they measure the emissions of a car in simulated heavy traffic conditions. The way they simulate these conditions is to have the car mounted on a wheel that allows the car to spin its wheels without moving. The simulated speed of the car can be measured. The government has provided a standard trace of the speed of a car in heavy traffic. (See the dashed trace below). A computer screen with this trace is mounted where the driver can see it. The driver also sees the solid line that is the measured speed of the car. The driver's job is to keep the solid trace on the standard dashed trace. Of course, if the driver doesn't keep the traces together, this contributes to the measurement error. Emissions from cars have dropped by a factor of 10 over the last several years.
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