EBK OPERATIONS MANAGEMENT
EBK OPERATIONS MANAGEMENT
14th Edition
ISBN: 9781260718447
Author: Stevenson
Publisher: MCG COURSE
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Chapter 10, Problem 5P

a)

Summary Introduction

To determine: The fraction defective in each sample.

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.

b)

Summary Introduction

To determine: The estimation for fraction defective when true fraction defective for the process is unknown.

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.

c)

Summary Introduction

To determine: The estimate of mean and standard deviation of the sampling distribution of fraction defective for samples for the size.

Introduction:

Control chart:

It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.

d)

Summary Introduction

To determine: The control limits that would give an alpha risk of 0.03 for the process.

Introduction:

Control chart:

It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.

e)

Summary Introduction

To determine: The alpha risks that control limits 0.47 and 0.003 will provide.

Introduction:

Control chart:

It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.

f)

Summary Introduction

To determine: Whether the process is in control when using 0.047 and 0.003.

Introduction:

Control chart:

It is a graph used to analyze the process change over a time period. A control chart has an upper control limit, and lower control which are used plot the time order.

g)

Summary Introduction

To determine: The mean and standard deviation of the sampling distribution.

Introduction:

Control chart:

It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.

h)

Summary Introduction

To construct: A control chart using two sigma control limits and check whether the process is in control.

Introduction:

Control chart:

It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.

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Using samples of 200 credit card statements, an auditor found the following:Sample 1 2 3 4Number with errors 4 2 5 9a. Determine the fraction defective in each sample.b. If the true fraction defective for this process is unknown, what is your estimate of it?c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size?d. What control limits would give an alpha risk of .03 for this process?e. What alpha risk would control limits of .047 and .003 provide?f. Using control limits of .047 and .003, is the process in control?g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What arethe values of the mean and standard deviation of the sampling distribution?h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using twosigma control limits. Is the process in control?
Using samples of 200 credit card statements, an auditor found the following: Sample 1 2 3 4 Number with errors 4 2 5 9 a. Determine the fraction defective in each sample. b. If the true fraction defective for this process is unknown, what is your estimate of it? c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size? d. What control limits would give an alpha risk of .03 for this process? Page 457 e. What alpha risk would control limits of .047 and .003 provide? f. Using control limits of .047 and .003, is the process in control? g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What are the values of the mean and standard deviation of the sampling distribution? h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using two-sigma control limits. Is the process in control? Can you show me the steps and formulas using excel
Over a period of 12 consecutive production hours, samples of size 50 resulted in the following proportions of defective items: (given) a. What are the three-sigma control limits for this process?b. Do any of the sample points fall outside of the control limits?c. The company claims a defect rate of 3 percent for these items. Are the observed proportions consistent with a target value of 3 percent defectives? What difficulty would arise if the control limits were based on a target value of 0.03? In view of the company’s claims, what difficulty would arise if the control limits computed in part (a) were used?
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