Whether specifications are consistent with statistical variation in sample or not. Concept Introduction: Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

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Answer 1

Question

Chapter 12.2, Problem 7P

a

Summary Introduction

Interpretation:

Whether specifications are consistent with statistical variation in sample or not.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

b

Summary Introduction

Interpretation:

Problems occur if the group attempt to use R and X¯ for this process

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

c

Summary Introduction

Interpretation:

Percentage of the manufactured items fall outside the tolerance.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

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A manufacturing company produces steel rods. The length of these rods is critical to their customers. The company aims to manufacture rods with a mean length of 150 cm. However, due to variability in the manufacturing process, the lengths of the rods follow a normal distribution. The company's quality control department samples 30 rods and finds that they have a mean length of 151 cm and a standard deviation of 2 cm. Calculate the Process Capability Index (Cp) and the Process Performance Index (Ppk) for this process. Assume the customer's specification limits are 147 cm and 153 cm for the length of the rods.

RJ produces chocolate balls. There are five samples, and each sample contains 4 packs of chocolate balls that were randomly selected and weighed. The following is the sample data: Weight (lb) Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Pack 1 0.94 1 1.05 0.98 0.93 Pack 2 1.15 0.93 1.13 0.93 0.8 Pack 3 0.88 1 1.07 0.9 1.12 Pack 4 0.96 1.06 0.97 0.89 1.01 Suppose the standard deviation is unknown, and the X-bar chart is based on 3-sigma limits. Based on the sample data, what is LCL? a 0.920 b 0.887 c 0.816 d 0.844

Answer 2

Question

Chapter 12.2, Problem 7P

a

Summary Introduction

Interpretation:

Whether specifications are consistent with statistical variation in sample or not.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

b

Summary Introduction

Interpretation:

Problems occur if the group attempt to use R and X¯ for this process

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

c

Summary Introduction

Interpretation:

Percentage of the manufactured items fall outside the tolerance.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

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Answer 3

Question

Chapter 12.2, Problem 7P

a

Summary Introduction

Interpretation:

Whether specifications are consistent with statistical variation in sample or not.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

b

Summary Introduction

Interpretation:

Problems occur if the group attempt to use R and X¯ for this process

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

c

Summary Introduction

Interpretation:

Percentage of the manufactured items fall outside the tolerance.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

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Answer 4

Question

Chapter 12.2, Problem 7P

a

Summary Introduction

Interpretation:

Whether specifications are consistent with statistical variation in sample or not.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

b

Summary Introduction

Interpretation:

Problems occur if the group attempt to use R and X¯ for this process

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

c

Summary Introduction

Interpretation:

Percentage of the manufactured items fall outside the tolerance.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

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Answer 5

Chapter 12.2, Problem 7P

a

Summary Introduction

Interpretation:

Whether specifications are consistent with statistical variation in sample or not.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

b

Summary Introduction

Interpretation:

Problems occur if the group attempt to use R and X¯ for this process

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

c

Summary Introduction

Interpretation:

Percentage of the manufactured items fall outside the tolerance.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

Answer 6

Chapter 12.2, Problem 7P

a

Summary Introduction

Interpretation:

Whether specifications are consistent with statistical variation in sample or not.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

Answer 7

Chapter 12.2, Problem 7P

a

Summary Introduction

Interpretation:

Whether specifications are consistent with statistical variation in sample or not.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

Answer 8

b

Summary Introduction

Interpretation:

Problems occur if the group attempt to use R and X¯ for this process

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

Answer 9

b

Summary Introduction

Interpretation:

Problems occur if the group attempt to use R and X¯ for this process

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

Answer 10

c

Summary Introduction

Interpretation:

Percentage of the manufactured items fall outside the tolerance.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

Answer 11

c

Summary Introduction

Interpretation:

Percentage of the manufactured items fall outside the tolerance.

Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 12.1 - Prob. 2P Ch. 12.1 - Prob. 3P Ch. 12.1 - Prob. 4P Ch. 12.1 - Prob. 5P Ch. 12.1 - Prob. 6P Ch. 12.2 - Prob. 7P Ch. 12.2 - Prob. 8P Ch. 12.2 - Prob. 9P Ch. 12.2 - Prob. 10P Ch. 12.2 - Prob. 11P

Solution Summary: The author explains that control charts measure the effectiveness of the process determining the average value and control limits. The statistical variation is wider than stated tolerances.

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Chapter 12 Solutions