OPERATIONS MGMT.-ACCESS >CUSTOM PKG.<
OPERATIONS MGMT.-ACCESS >CUSTOM PKG.<
12th Edition
ISBN: 9781260191707
Author: Stevenson
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 10, Problem 9P
Summary Introduction

To determine: The upper and lower control limits for the fraction and decide if the process is in control.

Introduction: Quality is a measure of excellence or a state of being free from deficiencies, defects and important variations. It is obtained by consistent and strict commitment to certain standards to attain uniformity of a product to satisfy consumers’ requirement.

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Quality Control of Doughnuts: The Hudson Valley Bakery makes doughnuts that are packaged in boxes with labels stating that there are 12 doughnuts weighing a total of 42 oz. If the variation among the doughnuts is too large, some boxes will be underweight (cheating consumers) and others will be overweight (lowering profit). A consumer would not be happy with a doughnut so small that it can be seen only with an electron microscope, nor would a consumer be happy with a doughnut so large that it resembles a tractor tire. The quality-control supervisor has found that he can stay out of trouble if the doughnuts have a mean of 3.50 oz. and a standard deviation of 0.06 oz. or less. Twelve doughnuts are randomly selected from the production line and weighed, with the result given here (in ounces).   3.43     3.37      3.58     3.50     3.68     3.61     3.42     3.52     3.66     3.50     3.36     3.42 Construct a 95% confidence interval for σ, and then determine whether the quality-control…
. After a number of complaints about its directory assistance, a telephone company examined samples of calls to determine the frequency of wrong numbers given to callers. Each sample consistedof 100 calls. Determine 95 percent limits. Is the process stable (i.e., in control)? Explain.SAMPLE1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16Number of errors 5 3 5 7 4 6 8 4 5 9 3 4 5 6 6 7
3. A large beverage company would like to use statistical process control to monitor a new bottlingmachine designed to load liquid into 350-ml bottles. This company knows that the exact amountthe machine places in each bottle can naturally vary by a small amount but does not have any more specific information about the process. The company operated this new machine under careful supervision, confident that the machine was under complete control, for 7 hours. Each hour, a sample of nine bottles was taken off the line and the amount of liquid in each bottle was carefully measured. This is the resulting data: Sample Sample Mean (ml) Sample Range (ml) 350.85 0.6 350.80 0.8 0.5 351.20 351.00 1.0 350.62 0.8 351.12 0.7 0.8 351.50 a. Where should the control limits be placed on a mean chart intended to monitor thismachine in the future, using the same sampling procedure that produced this data? b. Where should the control limits be placed on a range chart intended to monitor thismachine in the…
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