The data set provides measurements of 5 different samples.  Answer the following questions if you were to create an xbar control chart, suppose the population standard deviation is unknown.    For your convenience,  the control chart constant table is provided   control chart data set provided   1.  What is the centerline, rounded to two decimal places?  2.  What is the UCL, rounded to two decimal places?    3.  What is the LCL, rounded to two decimal places?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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The data set provides measurements of 5 different samples.  Answer the following questions if you were to create an xbar control chart, suppose the population standard deviation is unknown.   

For your convenience,  the control chart constant table is provided

 

control chart data set provided

 

1.  What is the centerline, rounded to two decimal places? 

2.  What is the UCL, rounded to two decimal places?   

3.  What is the LCL, rounded to two decimal places?  

Table of constants for Xbar and R control charts

           
           

 

Charts for Averages

Charts for Ranges

 

 

Control Limits Factor

Divisors to Estimate σx

Factors for Control Limits

 

sample size, n

A2

d2

D3

D4

 

2

1.88

1.128

-

3.267

 

3

1.023

1.693

-

2.574

 

4

0.729

2.059

-

2.282

 

5

0.577

2.326

-

2.114

 

6

0.483

2.534

-

2.004

 

7

0.419

2.704

0.076

1.924

 

8

0.373

2.847

0.136

1.864

 

9

0.337

2.97

0.184

1.816

 

10

0.308

3.078

0.223

1.777

 

15

0.223

3.472

0.347

1.653

 

25

0.153

3.931

0.459

1.541

 

 

Control chart question data set

 
         
         

sample

measurements

1

50.5

51.2

49.8

50.2

2

47.8

48.9

50

50.2

3

48.9

50.9

51.3

49.7

4

47.7

48.1

49

49.9

5

49.7

50

51.4

53.2

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