The values of Cp and Cpk. Introduction: Process capability: Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9, Problem 13P

a)

Summary Introduction

To determine: The values of Cp and Cpk.

Introduction:

Process capability:

Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

b)

Summary Introduction

To explain: Which of the indices is a better measure of process capability.

c)

Summary Introduction

To explain: By assuming normal distribution, what percentage of the output can be expected to fall outside the specifications.

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Pepsi makes bottles that need to be between 30 and 32 oz. You do measurements, and you find that a normal distribution describes Pepsi's actual bottling machine performance. Specifically, the mean of the process is 30.5 oz, and the process standard deviation is 0.02 oz. If Pepsi wants to be within the tolerances 99.7% of the time, what is the process capability index? Round your answer to the nearest 2nd decimal point. For example, if your answer is 0.4435, enter 0.44 into the box.

Suppose that a processoutput is normally distributed with a mean of 30.0 and a variance of 1.44. If the specifications are 30.0 /- 3.25, then compute process capability indices. Is the process capable of meeting specifications?

A process is in statistical control with = 202,5 y s = 2,0. Specifications are atLSL = 196 and USL = 206.a) Estimate the process capability with an appropriate process capability ratio.b) What is the potential capability of this process?c) Items that are produced below the lower specification limit must bescrapped, while items that are above the upper specification limit can bereworked. What proportion of the process output is scrap and whatproportion is rework?d) Because scrap is more expensive than rework, the process has been centered closer to the upper specification limit. If scrap is twice as expensive as rework, is the process mean at the best possible location? What value of the process target would you recommend?

Answer 2

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9, Problem 13P

a)

Summary Introduction

To determine: The values of Cp and Cpk.

Introduction:

Process capability:

Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

b)

Summary Introduction

To explain: Which of the indices is a better measure of process capability.

c)

Summary Introduction

To explain: By assuming normal distribution, what percentage of the output can be expected to fall outside the specifications.

Expert Solution & Answer

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Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9, Problem 13P

a)

Summary Introduction

To determine: The values of Cp and Cpk.

Introduction:

Process capability:

Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

b)

Summary Introduction

To explain: Which of the indices is a better measure of process capability.

c)

Summary Introduction

To explain: By assuming normal distribution, what percentage of the output can be expected to fall outside the specifications.

Expert Solution & Answer

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Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9, Problem 13P

a)

Summary Introduction

To determine: The values of Cp and Cpk.

Introduction:

Process capability:

Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

b)

Summary Introduction

To explain: Which of the indices is a better measure of process capability.

c)

Summary Introduction

To explain: By assuming normal distribution, what percentage of the output can be expected to fall outside the specifications.

Expert Solution & Answer

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Answer 5

Chapter 9, Problem 13P

a)

Summary Introduction

To determine: The values of Cp and Cpk.

Introduction:

Process capability:

Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

b)

Summary Introduction

To explain: Which of the indices is a better measure of process capability.

c)

Summary Introduction

To explain: By assuming normal distribution, what percentage of the output can be expected to fall outside the specifications.

Answer 6

Chapter 9, Problem 13P

a)

Summary Introduction

To determine: The values of Cp and Cpk.

Introduction:

Process capability:

Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

Answer 7

Chapter 9, Problem 13P

a)

Summary Introduction

To determine: The values of Cp and Cpk.

Introduction:

Process capability:

Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

Answer 8

b)

Summary Introduction

To explain: Which of the indices is a better measure of process capability.

Answer 9

b)

Summary Introduction

To explain: Which of the indices is a better measure of process capability.

Answer 10

c)

Summary Introduction

To explain: By assuming normal distribution, what percentage of the output can be expected to fall outside the specifications.

Answer 11

c)

Summary Introduction

To explain: By assuming normal distribution, what percentage of the output can be expected to fall outside the specifications.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 9 - Why did statistical quality control ideas catch on...Ch. 9 - Prob. 2DQ Ch. 9 - Prob. 3DQ Ch. 9 - Prob. 4DQ Ch. 9 - Prob. 5DQ Ch. 9 - Prob. 6DQ Ch. 9 - Prob. 7DQ Ch. 9 - Prob. 8DQ Ch. 9 - Prob. 9DQ Ch. 9 - Prob. 10DQ

The values of Cp and Cpk. Introduction: Process capability: Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

Solution Summary: The author explains that Cp is the measure of repeatability of a process over and over with consistency in manufacturing, relative to the requirements asked by the customer.

Concept explainers

To determine: The values of Cp and Cpk.

Introduction:

Process capability:

Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

To explain: Which of the indices is a better measure of process capability.

To explain: By assuming normal distribution, what percentage of the output can be expected to fall outside the specifications.

Want to see the full answer?

Chapter 9 Solutions

The values of Cp and Cpk. Introduction: Process capability: Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

Solution Summary: The author explains that Cp is the measure of repeatability of a process over and over with consistency in manufacturing, relative to the requirements asked by the customer.

Concept explainers

To determine: The values of Cp and Cpk. Introduction: Process capability: Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.

To explain: Which of the indices is a better measure of process capability.

To explain: By assuming normal distribution, what percentage of the output can be expected to fall outside the specifications.

Want to see the full answer?

Chapter 9 Solutions

To determine: The values of Cp and Cpk.

Introduction:

Process capability:

Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.