MEANS

Sample

1 2 3 4 5

1 12.11 12.15 12.07 12.12 12.09

2 12.10 12.15 12.07 12.10 12.14

3 12.11 12.15 12.07 12.08 12.13

4 12.08 12.15 12.07 12.10 12.12

X 12.10 12.15 12.07 12.10 12.12

here > UCL here < LCL

n 4

z 3

σ 0.02

X̿ 12.11

UCL 12.14

LCL 12.08

RANGE

Sample

1 2 3 4 5

Observation 1 12.11 12.15 12.07 12.12 12.09

2 12.10 12.15 12.07 12.10 12.14

3 12.11 12.15 12.07 12.08 12.13

4 12.08 12.15 12.07 12.10 12.12

X 12.10 12.15 12.07 12.10 12.12

R 0.03 0.00 0.00 0.04 0.05

POM Assignment 林大偉 - MA4N0242

The data point 2 should be over UCL, and the data point 3 should be under LCL.

Observation

12.06

12.07

12.08

12.09

12.10

12.11

12.12

12.13

12.14

12.15

12.16

0 1 2 3 4 5 6

Scatter plot of changed output via range

MA4N0242 - 林大偉

1

n 4

z 3

σ 0.02

X̿ 12.11

R 0.024

A₂ 0.73

UCL 12.13

LCL 12.0912.06

12.07

12.08

12.09

12.10

12.11

12.12

12.13

12.14

12.15

12.16

0 1 2 3 4 5 6

Scatter plot of changed output via range

MA4N0242 - 林大偉

2