PRIN.OF OPERATIONS MANAGEMENT-MYOMLAB
PRIN.OF OPERATIONS MANAGEMENT-MYOMLAB
11th Edition
ISBN: 9780135226742
Author: HEIZER
Publisher: PEARSON
bartleby

Concept explainers

Question
Book Icon
Chapter 6.S, Problem 8P

a)

Summary Introduction

To determine: The value of control 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.

a)

Expert Solution
Check Mark

Answer to Problem 8P

The value of control limits is 16.08 and 15.92.

Explanation of Solution

Given information:

The following information is given:

PRIN.OF OPERATIONS MANAGEMENT-MYOMLAB, Chapter 6.S, Problem 8P , additional homework tip  1

The mean of the sample means x¯¯=16

Calculate (σx¯) the standard deviation of the means:

It is given that the population mean x¯¯=16 and the population standard deviation σ=0.12 using the below formula:

σx¯=σn

Here, the sample size n=9

Substitute the values of σ=0.12 and n=9 in the above formula to obtain the value of σx¯

σx¯=σn=0.129=0.123=0.04

Hence, the standard deviation of the means σx¯=0.04

Derive the values of upper control limits (UCL) and lower control limits (LCL):

Calculate UCL and LCL using the below formulae:

UCL=x¯¯+z×σx¯

LCL=x¯¯z×σx¯

Here,

The value of z=2 , population mean x¯¯=16 and the standard deviation of the means σx¯=0.04 .

Compute the value of UCL by substituting in UCL formula, the values of x¯¯=16 , σx¯=0.04 and z=2

UCL=x¯¯+z×σx¯=16+2×(0.04)=16+0.08=16.08

Hence, the upper control limit is UCL=16.08lb

Compute the value of LCL by substituting in LCL formula, the values of x¯¯=16 , σx¯=0.04 and z=2

LCL=x¯¯z×σx¯=162×(0.04)=160.08=15.92

Hence, the lower control limit is LCL=15.92lb

b)

Summary Introduction

To determine: The value of control 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)

Expert Solution
Check Mark

Answer to Problem 8P

The value of control limits is 16.12 and 15.88.

Explanation of Solution

Given information:

The following information is given:

PRIN.OF OPERATIONS MANAGEMENT-MYOMLAB, Chapter 6.S, Problem 8P , additional homework tip  2

The mean of the sample means x¯¯=16

Calculate (σx¯) the standard deviation of the means:

It is given that the population mean x¯¯=16 and the population standard deviation σ=0.12 using the below formula:

σx¯=σn

Here, the sample size n=9

Substitute the values of σ=0.12 and n=9 in the above formula to obtain the value of σx¯

σx¯=σn=0.129=0.123=0.04

Hence, the standard deviation of the means σx¯=0.04

Derive the values of upper control limits (UCL) and lower control limits (LCL):

Calculate UCL and LCL using the below formulae:

UCL=x¯¯+z×σx¯

LCL=x¯¯z×σx¯

Here,

The value of z=3 , population mean x¯¯=16 and the standard deviation of the means σx¯=0.04 .

Compute the value of UCL by substituting in UCL formula, the values of x¯¯=16 , σx¯=0.04 and z=3

UCL=x¯¯+z×σx¯=16+3×(0.04)=16+0.12=16.12

Hence, the upper control limit is UCL=16.12lb

Compute the value of LCL by substituting in LCL formula, the values of x¯¯=16 , σx¯=0.04 and z=3

LCL=x¯¯z×σx¯=162×(0.04)=160.12=15.88

Hence, the lower control limit is LCL=15.88lb

The control limits become wider when three standard deviations are used instead of two standard deviations. The process is now allowed wider latitude in terms of natural variations.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard devia-tion in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the averageweight, in pounds, of nine of the bowling balls produced that dayhas been assessed as follows:  a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control lim-its are each two standard deviations from the mean. What are the values of the control limits?b) If three standard deviations are used in the chart, how do thesevalues change? Why?
An automatic filling machine is used to fill 1-liter bottles of cola.  The machine’s output is approximately normal with a mean of 1.0 liter and standard deviation of .01 liter. Output is monitored using means of samples of 25 observations.  Determine upper and lower control limits that will include roughly 97% of the sample means when the process is in control. Using Appendix B, Table A to find the value of Z corresponding to the mean control limits.
Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 5 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range R (mm) 158 4.3 151.2 4.4 155.7 4.2 153.5 4.8 156.6 4.5 What is the UCL using 3-sigma?(round your response to two decimal places). 1. 2. 4.

Chapter 6 Solutions

PRIN.OF OPERATIONS MANAGEMENT-MYOMLAB

Ch. 6.S - Prob. 11DQCh. 6.S - Prob. 12DQCh. 6.S - Prob. 13DQCh. 6.S - Prob. 14DQCh. 6.S - Prob. 15DQCh. 6.S - Prob. 16DQCh. 6.S - Prob. 17DQCh. 6.S - Prob. 18DQCh. 6.S - Prob. 19DQCh. 6.S - Prob. 1PCh. 6.S - Prob. 2PCh. 6.S - Prob. 3PCh. 6.S - Prob. 4PCh. 6.S - Prob. 5PCh. 6.S - Prob. 6PCh. 6.S - Prob. 7PCh. 6.S - Prob. 8PCh. 6.S - Prob. 9PCh. 6.S - Prob. 10PCh. 6.S - Prob. 11PCh. 6.S - Prob. 12PCh. 6.S - Prob. 13PCh. 6.S - Prob. 14PCh. 6.S - Prob. 15PCh. 6.S - Prob. 16PCh. 6.S - Prob. 17PCh. 6.S - Prob. 18PCh. 6.S - Prob. 19PCh. 6.S - Prob. 20PCh. 6.S - Prob. 21PCh. 6.S - Prob. 22PCh. 6.S - Prob. 23PCh. 6.S - Prob. 24PCh. 6.S - Prob. 25PCh. 6.S - Prob. 28PCh. 6.S - Prob. 29PCh. 6.S - Prob. 30PCh. 6.S - Prob. 32PCh. 6.S - Prob. 33PCh. 6.S - Prob. 34PCh. 6.S - Prob. 35PCh. 6.S - Prob. 36PCh. 6.S - Prob. 37PCh. 6.S - Prob. 39PCh. 6.S - Prob. 40PCh. 6.S - Prob. 41PCh. 6.S - Prob. 42PCh. 6.S - Prob. 43PCh. 6.S - Prob. 44PCh. 6.S - Prob. 45PCh. 6.S - Prob. 46PCh. 6.S - Prob. 48PCh. 6.S - Prob. 49PCh. 6.S - Prob. 50PCh. 6.S - Prob. 51PCh. 6.S - Prob. 52PCh. 6.S - Prob. 53PCh. 6.S - Prob. 54PCh. 6.S - Prob. 55PCh. 6.S - Prob. 1CSCh. 6.S - Prob. 2CSCh. 6.S - Prob. 1.1VCCh. 6.S - Prob. 1.2VCCh. 6.S - Prob. 1.3VCCh. 6.S - Prob. 2.1VCCh. 6.S - Prob. 2.2VCCh. 6.S - Prob. 2.3VCCh. 6.S - Prob. 2.4VCCh. 6 - Prob. 1EDCh. 6 - Prob. 1DQCh. 6 - Prob. 2DQCh. 6 - Prob. 3DQCh. 6 - Prob. 4DQCh. 6 - Prob. 5DQCh. 6 - Prob. 6DQCh. 6 - Prob. 7DQCh. 6 - Prob. 8DQCh. 6 - Prob. 9DQCh. 6 - Prob. 10DQCh. 6 - Prob. 11DQCh. 6 - Prob. 12DQCh. 6 - Prob. 13DQCh. 6 - Prob. 14DQCh. 6 - Prob. 15DQCh. 6 - Prob. 16DQCh. 6 - Prob. 17DQCh. 6 - Prob. 18DQCh. 6 - An avant-garde clothing manufacturer runs a series...Ch. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Kathleen McFaddens restaurant in Boston has...Ch. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 1CSCh. 6 - Prob. 2CSCh. 6 - Prob. 3CSCh. 6 - Prob. 1.1VCCh. 6 - Prob. 1.2VCCh. 6 - Prob. 1.3VCCh. 6 - Prob. 1.4VCCh. 6 - Prob. 2.1VCCh. 6 - Prob. 2.2VCCh. 6 - Prob. 2.3VCCh. 6 - Prob. 2.4VCCh. 6 - Prob. 3.1VCCh. 6 - Prob. 3.2VCCh. 6 - Prob. 3.3VCCh. 6 - Prob. 3.4VCCh. 6 - Prob. 3.5VC
Knowledge Booster
Background pattern image
Operations Management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Text book image
Operations Management
Operations Management
ISBN:9781259667473
Author:William J Stevenson
Publisher:McGraw-Hill Education
Text book image
Operations and Supply Chain Management (Mcgraw-hi...
Operations Management
ISBN:9781259666100
Author:F. Robert Jacobs, Richard B Chase
Publisher:McGraw-Hill Education
Text book image
Business in Action
Operations Management
ISBN:9780135198100
Author:BOVEE
Publisher:PEARSON CO
Text book image
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Text book image
Production and Operations Analysis, Seventh Editi...
Operations Management
ISBN:9781478623069
Author:Steven Nahmias, Tava Lennon Olsen
Publisher:Waveland Press, Inc.