Introduction to Statistical Quality Control

7th Edition

ISBN: 9781118146811

Author: Montgomery, Douglas C.

Publisher: John Wiley & Sons Inc

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Chapter 2, Problem 5DQE

One of the objectives of the control plan in DMAIC is to “hold the gain.” What does this mean?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 2, Problem 4DQE

Chapter 2, Problem 6DQE

Chapter 2 Solutions

Introduction to Statistical Quality Control

Ch. 2 - Discuss the similarities between the Shewhart...Ch. 2 - What role does risk play in project selection and...Ch. 2 - Suppose that a project will generate A per year....Ch. 2 - Describe a service system that you use. What are...Ch. 2 - One of the objectives of the control plan in DMAIC...Ch. 2 - Is there a point at which seeking further...Ch. 2 - Explain the importance of tailgates in the DMAIC...Ch. 2 - An important part of a project is to identify the...Ch. 2 - Why are designed experiments most useful in the...Ch. 2 - Suppose that your business is operating at the...

Ch. 2 - Suppose that your business is operating at the...Ch. 2 - Explain why it is important to separate sources of...Ch. 2 - Consider improving service quality in a...Ch. 2 - Suppose that during the analyze phase an obvious...Ch. 2 - If has been estimated that sate aircraft carrier...Ch. 2 - Discuss why, in general, determining what to...Ch. 2 - Suppose that you want to improve the process of...

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Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.

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One of the objectives of the control plan in DMAIC is to “hold the gain.” What does this mean ?

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