Determine the UCL and LCL if the sample size is 100 and 3-sigma limits. Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

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Answer 1

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Chapter 6.S, Problem 13P

a)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

b)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

c)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

d)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

e)

Summary Introduction

To determine: What happen to σ^p if the sample size is larger.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

f)

Summary Introduction

To determine: Why LCL cannot be less than 0.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

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The defect rate for data entry of insurance claims hashistorically been about 1.5%.a) What are the upper and lower control chart limits if you wishto use a sample size of 100 and 3-sigma limits?b) What if the sample size used were 50, with 3s ?c) What if the sample size used were 100, with 2s ?d) What if the sample size used were 50, with 2s ?e) What happens to snp when the sample size is larger?f) Explain why the lower control limit cannot be less than 0.

1. The data shown in Table 1 are x and R values for 20 samples of size n= 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 31.6 should be 0.50316). Please show all your work for full credit. (a) Set up x and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. (b) Assume that diameter is normally distributed. Estimate the process standard deviation. Sample R Sample R 1 31.6 4 11 29.8 4 33.0 3 12 34.0 4 35.0 4 13 33.0 10 4 32.2 4 14 34.8 4 5 33.8 38.4 31.6 15 35.6 7 3 16 30.8 7 4 17 33.0 5 8 36.8 10 18 31.6 3 9. 35.0 15 19 28.2 9 10 34.0 6 20 33.8 Table 1: Bearing Diameter Data

1. The overall average on a process you are attempting to monitor is 55.0 units. The process population standard deviation is 1.84. Sample size is given to be 16. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCLx)=56.3856.38 units (round your response to two decimal places). Lower Control Limit (LCLx)=53.6253.62 units (round your response to two decimal places). b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCLx)=? units (round your response to two decimal places). 2. Sample Size, n Mean Factor, A2 Upper Range, D4 Lower Range, D3 2 1.880 3.268 0 3 1.023 2.574 0 4 0.729 2.282 0 5 0.577 2.115 0 6 0.483 2.004 0 7 0.419 1.924 0.076 8 0.373 1.864 0.136 9 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284 Thirty-five samples of size 7 each were taken from a…

Answer 2

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Chapter 6.S, Problem 13P

a)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

b)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

c)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

d)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

e)

Summary Introduction

To determine: What happen to σ^p if the sample size is larger.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

f)

Summary Introduction

To determine: Why LCL cannot be less than 0.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

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Answer 3

Question

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Chapter 6.S, Problem 13P

a)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

b)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

c)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

d)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

e)

Summary Introduction

To determine: What happen to σ^p if the sample size is larger.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

f)

Summary Introduction

To determine: Why LCL cannot be less than 0.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

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Answer 4

Question

100%

Chapter 6.S, Problem 13P

a)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

b)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

c)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

d)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

e)

Summary Introduction

To determine: What happen to σ^p if the sample size is larger.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

f)

Summary Introduction

To determine: Why LCL cannot be less than 0.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Expert Solution & Answer

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Answer 5

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Answer 6

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Answer 7

Chapter 6.S, Problem 13P

a)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

b)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

c)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

d)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

e)

Summary Introduction

To determine: What happen to σ^p if the sample size is larger.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

f)

Summary Introduction

To determine: Why LCL cannot be less than 0.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 8

Chapter 6.S, Problem 13P

a)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 9

Chapter 6.S, Problem 13P

a)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 10

b)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 11

b)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 12

c)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 13

c)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 100 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 14

d)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 15

d)

Summary Introduction

To determine: Determine the UCL and LCL if the sample size is 50 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 16

e)

Summary Introduction

To determine: What happen to σ^p if the sample size is larger.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 17

e)

Summary Introduction

To determine: What happen to σ^p if the sample size is larger.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 18

f)

Summary Introduction

To determine: Why LCL cannot be less than 0.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 19

f)

Summary Introduction

To determine: Why LCL cannot be less than 0.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Answer 20

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Answer 21

Expert Solution & Answer

Answer 22

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Answer 23

Ch. 6.S - Prob. 1DQ Ch. 6.S - Define in statistical control.Ch. 6.S - Prob. 3DQ Ch. 6.S - Prob. 4DQ Ch. 6.S - Prob. 5DQ Ch. 6.S - Prob. 6DQ Ch. 6.S - Prob. 7DQ Ch. 6.S - Prob. 8DQ Ch. 6.S - Prob. 9DQ Ch. 6.S - Prob. 10DQ

Determine the UCL and LCL if the sample size is 100 and 3-sigma limits. Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Concept explainers

To determine: Determine the UCL and LCL if the sample size is 100 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Determine the UCL and LCL if the sample size is 50 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Determine the UCL and LCL if the sample size is 100 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Determine the UCL and LCL if the sample size is 50 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: What happen to σ^p if the sample size is larger.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Why LCL cannot be less than 0.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Want to see the full answer?

Chapter 6 Solutions

Determine the UCL and LCL if the sample size is 100 and 3-sigma limits. Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

Concept explainers

To determine: Determine the UCL and LCL if the sample size is 100 and 3-sigma limits. Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Determine the UCL and LCL if the sample size is 50 and 3-sigma limits. Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Determine the UCL and LCL if the sample size is 100 and 2-sigma limits. Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Determine the UCL and LCL if the sample size is 50 and 2-sigma limits. Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: What happen to σ^p if the sample size is larger. Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Why LCL cannot be less than 0. Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

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Chapter 6 Solutions

To determine: Determine the UCL and LCL if the sample size is 100 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Determine the UCL and LCL if the sample size is 50 and 3-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Determine the UCL and LCL if the sample size is 100 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Determine the UCL and LCL if the sample size is 50 and 2-sigma limits.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: What happen to σ^p if the sample size is larger.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.

To determine: Why LCL cannot be less than 0.

Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.