Chapter 1. Tutorial 27.2: Statistical Process Control – Xbar charts

1.1 Problem Statement

{3,4,5,6,7,8,9}
rand(0,5)
@monitor[$monitorindex]
{5.77,5,4.47,4.08,3.78,3.54,3.33}
@monitoranswer[$monitorindex]
{80.31,78,76.42,75.24,74.34,73.62,72.99}
@upperlimit[$monitorindex]
{45.69,48.,49.58,50.76,51.66,52.38,53.01}
@lowerlimit[$monitorindex]
{80.31,78,76.42,75.24,74.34,73.62,72.99}
@processa1[$monitorindex]
{45.69,48,49.58,50.76,51.66,52.38,53.01}
@processa2[$monitorindex]

Consider a process to manufacture computer monitors. An important quality variable is the color rendition of the input signal which is measured using a colorimeter. From long experience, the mean calorimeter reading when the process is in control is 63 (from a scale of 0 to 100) with a standard deviation of individual measurements of 10. During the manufacturing process, a technician takes a sample of $monitor monitors every shift and measures the color rendition.

1.2 Step 1

questions

Question 1.1

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Correct.
Incorrect.

Question 1.2

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Correct.
Incorrect.

Question 1.3

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Correct.
Incorrect.

1.3 Step 2

Question 1.4

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Correct.
Incorrect.

Question 1.5

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Correct.
Incorrect.

Question 1.6

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Correct.
Incorrect.

1.4 Step 3

Consider the following Xbar control charts and answer the following questions:

Question 1.7

Figure 1.1

The mean when the process is in control is b0g0iQ1whKk=. The standard deviation of the INDIVIDUAL observations when the process is in control is udX0h74V+w0=.

Correct.
Incorrect.

Question 1.8

Figure 1.2

The mean when the process is in control is IJaWHrT39D4=. The standard deviation of the INDIVIDUAL observations when the process is in control is Bqf/EtUReUc=.

Correct.
Incorrect.

Question 1.9

Figure 1.3

The mean when the process is in control is XqPzZf5H/p4=. The standard deviation of the INDIVIDUAL observations when the process is in control is ZDG2fpdWyXw=.

Correct.
Incorrect.

Question 1.10

Figure 1.4

The mean when the process is in control is ulD80gzJB74=. The standard deviation of the INDIVIDUAL observations when the process is in control is oayE157RQBQ=.

Correct.
Incorrect.

Question 1.11

Figure 1.5

The mean when the process is in control is 8P3aa4uLOo8=. The standard deviation of the INDIVIDUAL observations when the process is in control is tBxBgtJuS+A=.

Correct.
Incorrect.

Question 1.12

Figure 1.6

The mean when the process is in control is u10WsZGOgT0=. The standard deviation of the INDIVIDUAL observations when the process is in control is Tu9IG1n3UyE=.

Correct.
Incorrect.