Establish control limits for sample means

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The OM Explorer and POM for Windows software is available to all students using the 10th edition of this textbook Go to wsvw.pearsonhighered.com/lcrajewsld to download these computer packages. If you purchased MyOMLab, you also have access to Active Models software and significant help in doing the following problems. Check with your instructor on how best to use these resources. In many cases, the instructor wants you to understand how to do the calculations by hand. At the least, the software provides a check on your calculations. When calculations are particularly complex and the goal is interpreting the results in making decisions, the software re¬places entirely the manual calculations.

The software also can be a valuable resource well after your course is completed.

1. At Quickie Car Wash, the wash process is advertised to take less than 7 minutes. Consequently, management has set a target average of 390 seconds for the wash process. Suppose the average range for a sample of 9 cars is 10 sec¬onds. Use Table 5.1 to establish control limits for sample means and ranges for the car wash process.

2. At Isogen Pharmaceuticals, the filling process for its asthma inhaler is set to dispense 150 milliliters (ml) of ste¬roid solution per container. The average range for a sample of 4 containers is 3 mL Use Table 5.1 to establish control limits for sample means and ranges for the filling process.

3. Garcia's Garage desires to create some colorful charts and graphs to illustrate how reliably its mechanics "get under the hood and fix the problem." The historic average for the proportion of customers that return for the same repair within the 30-cLay warranty period is 0.10. Each month, Garcia tracks 100 customers to see whether they return for warranty repairs. The results are plotted as a proportion to report progress toward the goaL If the control limits are to be set at two standard deviations on either side of the goal, determine the control limits for this chart. In March, 8 of the 100 customers in the sample group returned for war¬ranty repairs. Is the repair process in control?

4. The Canine Gourmet Company produces delicious dog treats for canines with discriminating tastes. Management wants the box-filling line to be set so that the process aver¬age weight per packet is 45 grams. To make sure that the process is in control, an inspector at the end of the filling line periodically selects a random box of 10 packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged 6 grams.

a. Design an R- and an 1-chart for this process.

b. The results from the last 5 samples of 10 packets are

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Reference no: EM13313777

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