Question: The following data was obtained by taking six samples per hour for six hours from a manufacturing process and weighing them: (Please right detail steps,

The following data was obtained by taking six samples per hour for six hours from a manufacturing process and weighing them: (Please right detail steps, not just answers. No need to draw graphs)

HOURS

Weight (Grams)

1

110, 105, 98, 100, 102, 108

2

79, 102, 100, 104, 85, 98

3

100, 102, 100, 96, 98, 105

4

94, 98, 99, 101, 96, 105

5

98, 104, 97, 100, 102, 106

6

104, 97, 99, 100, 94, 1.2

For the data shown above,

  1. Find the X and R for each sample.
  2. Find the X and R for the six samples.
  3. Find the UCL and LCL for the mean and range charts.

Note: A2, D3, and D4 values are;

Sample Size, n

Mean factor, A2

UCL, D4

LCL, D3

2

1.88

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

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