A company manufactures an electrical cooling fan.  When the fans are performing properly, samples of 200 fans average 12.5 watts with an average range of 1.2 watts.  A 3σ control chart program is being used to monitor the performance of the fans, and these data from the 10 most recent samples were collected:   Sample Number Sample Mean Sample Range 1 12.5 1.1 2 12.45 1.2 3 12.55 0.9 4 12.50 0.8 5 12.45 0.9 6 12.60 1.0 7 12.48 1.4 8 12.46 1.1 9 12.56 0.9 10 12.48 0.8    Compute the 3σ control limits and center line for an ⁻x chart. Compute the 3σ control limits and center line for an R chart. Plot the sample data on the ⁻x and R

MATLAB: An Introduction with Applications
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  1.  A company manufactures an electrical cooling fan.  When the fans are performing properly, samples of 200 fans average 12.5 watts with an average range of 1.2 watts.  A 3σ control chart program is being used to monitor the performance of the fans, and these data from the 10 most recent samples were collected:

 

Sample Number

Sample Mean

Sample Range

1

12.5

1.1

2

12.45

1.2

3

12.55

0.9

4

12.50

0.8

5

12.45

0.9

6

12.60

1.0

7

12.48

1.4

8

12.46

1.1

9

12.56

0.9

10

12.48

0.8

 

  1.  Compute the 3σ control limits and center line for an ⁻x chart.
  2. Compute the 3σ control limits and center line for an R chart.
  3. Plot the sample data on the ⁻x and R charts and decide if the performance of the fan is in control.
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