Process Control at Polaroid (A) ( Case Study )

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nyonyhfuv

Business Finance

MBA 674

Marshall University

Description

Process Control at Polaroid Case 9-693-047
Case Analysis Guideline

It is a case to be bought. And, you are responsible for buying your own case.

This is an individual work. You should not collaborate with anyone in this case. You should submit your own words, not to be found in Google, turn-in or any other sources. Please cite properly whenever it is appropriate.

This is a case so you are free to put your own analysis. I would like to encourage that. However, at the minimum I am expecting following from you in the case.

1. Discuss, the magnitude of cost of quality in R2 plant. And, how Rolf’s project Greenlight is supposed to reduce the cost of quality. Especially, discuss what Rolf has been doing in light of difference between the providing quality products by after the fact sample testing and rejecting vs. controlling the production process using SPC techniques. (Hint Read chapter 10 and also skim through chapter 11 of your textbook. Think which the two process is more representative of Toyota Production System.)

2. You have to construct SPC charts for weight and height. Construction, analysis and insights from SPC are the center piece of this case. Data are on Exhibit 3 and Exhibit 6. (In have shown you how to draw SPC using the example in the book. It is slightly different here, because they use different data to calculate the x double bar, R bar, upper and lower control limits for x bar charts and R chart. Otherwise the process is not very different.)

a. Use data on exhibit 3 to find x double bar, R bar, upper and lower control limits for x bar charts and R chart.

  1. Use data on Exhibit 6 to make SPC charts (x bar and R), for weight and height.
  2. Most important is analyze the Charts.
  3. In order to analyze, in detail, you have to draw separate charts (x bar and R), for weights

as well as height for each of the different shifts.
e. Give detail analysis of whether the process is in control. You should analyze for height,

for weight for each of the shifts here.
3. One of the very important methods for brainstorming in order to find the root cause of the

problems is Ishikawa Diagram (refer to page 238 in your text book.) In order to find the cause you have to identify all the issues (related to people, machine, method and materials). Please try to draw the diagram and use this to suggest improvements.

4. Conclusion.

Submission:

Please write report in word document. Maximum word limit for this document is 1500. Charts and tables should be extra. And, you can make the SPC in excel. Please submit the word as well as Excel documents.

Unformatted Attachment Preview

Process Control at Polaroid Case 9-693-047 Case Analysis Guideline It is a case to be bought. And, you are responsible for buying your own case. This is an individual work. You should not collaborate with anyone in this case. You should submit your own words, not to be found in Google, turn-in or any other sources. Please cite properly whenever it is appropriate. This is a case so you are free to put your own analysis. I would like to encourage that. However, at the minimum I am expecting following from you in the case. 1. Discuss, the magnitude of cost of quality in R2 plant. And, how Rolf’s project Greenlight is supposed to reduce the cost of quality. Especially, discuss what Rolf has been doing in light of difference between the providing quality products by after the fact sample testing and rejecting vs. controlling the production process using SPC techniques. (Hint Read chapter 10 and also skim through chapter 11 of your textbook. Think which the two process is more representative of Toyota Production System.) 2. You have to construct SPC charts for weight and height. Construction, analysis and insights from SPC are the center piece of this case. Data are on Exhibit 3 and Exhibit 6. (In have shown you how to draw SPC using the example in the book. It is slightly different here, because they use different data to calculate the x double bar, R bar, upper and lower control limits for x bar charts and R chart. Otherwise the process is not very different.) a. Use data on exhibit 3 to find x double bar, R bar, upper and lower control limits for x bar charts and R chart. b. Use data on Exhibit 6 to make SPC charts (x bar and R), for weight and height. c. Most important is analyze the Charts. d. In order to analyze, in detail, you have to draw separate charts (x bar and R), for weights as well as height for each of the different shifts. e. Give detail analysis of whether the process is in control. You should analyze for height, for weight for each of the shifts here. 3. One of the very important methods for brainstorming in order to find the root cause of the problems is Ishikawa Diagram (refer to page 238 in your text book.) In order to find the cause you have to identify all the issues (related to people, machine, method and materials). Please try to draw the diagram and use this to suggest improvements. 4. Conclusion. Submission: Please write report in word document. Maximum word limit for this document is 1500. Charts and tables should be extra. And, you can make the SPC in excel. Please submit the word as well as Excel documents.
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Explanation & Answer

Done Excel file for answers of part 2

DATA

Process Control at Polaroid
Data from Exhibit 5
POD WEIGHT (grams)
Day
3-Aug

4-Aug

5-Aug

6-Aug

7-Aug

10-Aug

11-Aug

12-Aug

13-Aug

14-Aug

17-Aug

18-Aug

19-Aug

20-Aug

21-Aug

Shift
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C

1

2
2.800
2.750
2.768
2.841
2.801
2.778
2.760
2.829
2.741
2.814
2.787
2.766
2.774
2.770
2.832
2.829
2.850
2.803
2.815
2.782
2.779
2.815
2.846
2.767
2.850
2.810
2.850
2.750
2.830
2.740
2.753
2.851
2.845
2.844
2.806
2.849
2.820
2.790
2.850
2.767
2.833
2.824
2.778
2.801
2.770

3
2.799
2.820
2.807
2.802
2.770
2.807
2.804
2.804
2.850
2.804
2.802
2.805
2.801
2.801
2.836
2.846
2.804
2.803
2.804
2.806
2.807
2.815
2.854
2.804
2.804
2.820
2.820
2.765
2.770
2.770
2.807
2.751
2.804
2.777
2.839
2.801
2.793
2.780
2.806
2.831
2.825
2.799
2.775
2.832
2.787

4
2.760
2.850
2.807
2.802
2.833
2.804
2.804
2.805
2.744
2.803
2.805
2.804
2.805
2.833
2.794
2.760
2.805
2.773
2.803
2.806
2.808
2.803
2.760
2.834
2.804
2.814
2.750
2.850
2.848
2.833
2.805
2.752
2.803
2.754
2.805
2.804
2.812
2.764
2.805
2.808
2.793
2.790
2.799
2.758
2.744

5
2.802
2.740
2.804
2.806
2.770
2.804
2.806
2.806
2.766
2.805
2.804
2.802
2.805
2.770
2.843
2.854
2.806
2.837
2.804
2.804
2.803
2.864
2.829
2.803
2.804
2.794
2.740
2.760
2.760
2.770
2.804
2.773
2.806
2.791
2.804
2.762
2.833
2.843
2.814
2.793
2.813
2.764
2.805
2.759
2.766

6
2.805
2.850
2.804
2.807
2.840
2.803
2.805
2.807
2.767
2.807
2.805
2.804
2.805
2.840
2.813
2.817
2.807
2.808
2.803
2.803
2.803
2.834
2.817
2.803
2.804
2.798
2.850
2.790
2.750
2.840
2.802
2.849
2.805
2.833
2.850
2.814
2.853
2.843
2.807
2.836
2.823
2.817
2.833
2.773
2.807

2.803
2.790
2.803
2.807
2.741
2.804
2.806
2.807
2.808
2.804
2.804
2.806
2.804
2.741
2.743
2.805
2.807
2.808
2.802
2.802
2.803
2.803
2.805
2.803
2.804
2.787
2.790
2.840
2.830
2.800
2.804
2.806
2.806
2.811
2.740
2.791
2.812
2.818
2.807
2.811
2.766
2.805
2.772
2.814
2.803

2.880
Series1

2.860

Series2
Series3

2.840

Series4
Series5

2.820

Series6
Series7

2.800

Series8

2.780

Series9
Series10

2.760

Series11
Series12

2.740

Series13
Series14

2.720
0

1

2

3

4

5

6

7

3.00
A
B

Day
3-Aug

4-Aug

5-Aug

6-Aug

7-Aug

10-Aug

11-Aug

12-Aug

13-Aug

14-Aug

17-Aug

18-Aug

19-Aug

20-Aug

21-Aug

Shift
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C
A
B
C

C

2.50

FINGER HEIGHT (mm)

A

1

2
1.90
2.15
1.73
2.30
2.28
1.92
2.39
2.11
1.89
2.51
2.22
1.89
1.95
2.08
2.31
2.23
2.23
1.73
2.21
2.17
2.01
2.08
1.93
1.84
2.23
2.19
1.96
2.27
1.92
1.78
2.31
2.02
1.76
2.06
1.76
2.25
2.28
2.31
1.87
2.16
2.06
1.80
1.75
1.90
1.80

3
1.95
2.17
1.90
2.41
2.16
2.24
2.28
2.21
1.90
2.25
2.19
1.90
2.07
2.03
1.90
2.25
2.21
2.00
2.11
2.19
1.90
2.19
2.09
2.12
2.01
2.22
2.05
2.00
1.78
1.65
2.35
1.97
1.91
2.14
1.83
1.88
2.15
2.27
1.89
2.38
2.08
1.71
2.00
1.90
2.01

4
1.94
2.11
2.07
2.54
2.19
2.11
2.10
2.24
1.73
2.08
2.22
1.78
2.25
2.27
1.86
2.21
2.05
1.79
2.21
2.15
1.90
2.28
1.90
1.90
2.25
2.18
2.16
2.06
1.76
2.04
2.25
1.81
2.01
1.91
1.79
2.11
2.17
2.16
2.03
2.20
2.14
1.65
2.04
1.81
1.73

5
2.00
2.13
1.89
2.37
2.08
1.89
2.36
2.21
2.07
2.35
2.24
2.07
1.95
2.23
1.91
1.89
2.19
1.75
2.44
2.04
1.81
2.29
1.95
1.89
2.11
2.15
1.87
1.97
1.77
1.63
1.99
1.73
1.85
2.06
1.79
2.18
2.18
2.10
1.69
2.25
2.24
1.68
2.00
1.86
1.89

B

6
2.05
2.02
1.76
2.32
2.25
1.88
2.54
2.17
1.89
2.29
2.01
1.89
2.11
2.24
1.89
2.15
2.07
1.84
2.17
2.07
2.06
2.21
2.04
2.01
2.39
2.23
2.13
2.13
1.78
1.75
2.27
1.77
1.78
2.08
1.77
2.02
2.44
2.24
1.75
1.98
2.26
1.96
2.15
1.98
2.01

2.16
2.03
1.88
2.16
2.24
2.17
2.25
2.24
1.76
2.32
2.23
1.76
2.16
2.13
1.87
2.11
2.16
1.74
2.30
2.22
1.89
2.45
2.09
1.75
2.15
2.04
1.90
2.05
1.87
1.83
2.11
1.82
1.64
2.09
1.94
1.86
2.00
2.28
2.04
2.23
2.18
2.05
2.06
1.81
1.91

C

2.00

A
B
C
A

1.50

B
C
A
B

1.00
0

1

2

3

4

5

6

7

C
A
B

0.50

C
A
B

0.00

Page 1

Polaroid x and R charts and lcl, cl and ucl calculations

x bar
Exhibit 3 Base-line Data for Pod Weight and Finger Height
Pod Weight (grams)
Sample Number:
Day
1
2
3
4
5
6
20-Jul
2.792
2.81
2.777
2.799
2.803
2.788
21-Jul
2.774
2.783
2.799
2.82
2.812
2.807
22-Jul
2.797
2.79
2.785
2.795
2.866
2.826
23-Jul
2.819
2.787
2.809
2.862
2.823
2.816
24-Jul
2.754
2.793
2.82
2.846
2.823
2.807
27-Jul
2.784
2.781
2.733
2.801
2.823
2.844
28-Jul
2.844
2.799
2.781
2.802
2.82
2.813
29-Jul
2.806
2.786
2.836
2.815
2.836
2.808
30-Jul
2.843
2.766
2.795
2.778
2.835
2.783
31-Jul
2.816
2.79
2.823
2.802
2.78
2.804
mean

mean

mean
2.794833
2.799167
2.809833
2.819333
2.807167
2.794333
2.809833
2.8145
2.8
2.8025
2.80515

Finger Height (mm)
Day
20-Jul
21-Jul
22-Jul
23-Jul
24-Jul
27-Jul
28-Jul
29-Jul
30-Jul
31-Jul

1
2.021
1.836
2.004
2.177
2.167
2.016
1.939
2.179
1.962
2.26

2
2.158
2.256
2.166
2.171
2.032
2.108
2.302
2.189
2.128
1.99

3
2.049
2.099
1.955
2.068
2.032
2.105
2.019
1.97
1.976
1.863

4
1.959
2.269
2.125
2.143
1.955
2.037
2.154
2.067
2.228
2.183

m

Sample Number:
5
6
2.107
1.875
2.193
2.193
1.988
2.009
1.979
2.278
2.018
2.007
1.957
1.881
2.104
1.83
2.088
1.903
2.036
1.949
2.02
1.889
mean

mean
2.028167
2.141
2.041167
2.136
2.035167
2.017333
2.058
2.066
2.0465
2.034167
2.06035

R bar
pod weight
Day
20-Jul
21-Jul
22-Jul
23-Jul
24-Jul
27-Jul

1
2.792
2.774
2.797
2.819
2.754
2.784

2
2.81
2.783
2.79
2.787
2.793
2.781

3
2.777
2.799
2.785
2.809
2.82
2.733

4
2.799
2.82
2.795
2.862
2.846
2.801

Sample Number:
maximum
5
6
2.803
2.788
2.81
2.812
2.807
2.82
2.866
2.826
2.866
2.823
2.816
2.862
2.823
2.807
2.846
2.823
2.844
2.844

28-Jul
29-Jul
30-Jul
31-Jul

2.844
2.806
2.843
2.816

2.799
2.786
2.766
2.79

2.781
2.836
2.795
2.823

2.802
2.815
2.778
2.802

2.82
2.836
2.835
2.78

mean

2.813
2.808
2.783
2.804
Mean R

2.844
2.836
2.843
2.823
2.8394

Finger Height (mm)
Day
20-Jul
21-Jul
22-Jul
23-Jul
24-Jul
27-Jul
28-Jul
29-Jul
30-Jul
31-Jul

1
2.021
1.836
2.004
2.177
2.167
2.016
1.939
2.179
1.962
2.26

2
2.158
2.256
2.166
2.171
2.032
2.108
2.302
2.189
2.128
1.99

3
2.049
2.099
1.955
2.068
2.032
2.105
2.019
1.97
1.976
1.863

4
1.959
2.269
2.125
2.143
1.955
2.037
2.154
2.067
2.228
2.183

Sample Number:
maximum
5
6
2.107
1.875
2.158
2.193
2.193
2.269
1.988
2.009
2.166
1.979
2.278
2.278
2.018
2.007
2.167
1.957
1.881
2.108
2.104
1.83
2.302
2.088
1.903
2.189
2.036
1.949
2.228
2.02
1.889
2.26
mean

2.2125

ucl lcl and cl value calculation
Pod Weight (grams)
UCL = X +(A 2* R)
(2.805 + (0.48 * 0.0671) = 2.837
LCL = X -(A 2* R)
(2.805 - (0.48 * 0.0671) = 2.773

Finger Height (mm)
UCL = X + (A 2 * R)
(2.060 + (0.48 * 0.3099) = 2.209
LCL = X - (A 2* R)
(2.060 - (0.48 * 0.3099) = 1.912
The UCL and the LCL for R Chart were found with the following equations:
Pod Weight (grams)
UCL= D 4* R
(2 * 0.067) = 0.134
LCL =D 3* R
(0 * 0.067) = 0
Finger Height (mm)
UCL= D 4* R
(2 * 0.310) = 0.620
LCL = D 3* R
(0 * 0.310) = 0
The values ofA 2, D4 and D3 were obtained from the E.L.Grant and R.S. Leavenworth table, a summary
which is presented below (Full table in Exhibit 4).
E.L.Grant and R.S.Leavenworth table
Number of observations
n
in each 6sample

Factor for Xbar
A 2 Chart
Factor for R-Chart
D3
LCL
Factor for R-Chart
D4
UCL

0.48
0
2

x bar chart for pod weight
2.85
2.84
2.83

lcl

Axis Title

2.82

cl

2.81

ucl

2.8

mean

2.79

Linear (cl)

2.78

Linear (ucl)

2.77
2.76
16-Jul

Power (mean)
21-Jul

26-Jul

31-Jul

5-Aug

Axis Title

Xbar chart for finger height
2.25

Axis Title

2.2
2.15

lcl

2.1

cl

2.05

ucl

2

mean

1.95

Linear (cl)

1.9
1.85
16-Jul

Linear (ucl)
21-Jul

26-Jul

31-Jul

5-Aug

Power (mean)

Axis Title

0.16
0.14

minimum Rane R
2.777
2.774
2.785
2.787
2.754
2.733

0.033
0.046
0.081
0.075
0.092
0.111

x Bar
lcl
cl
ucl
lcl
2.7723 2.80515
2.8394
2.7723 2.80515
2.8394
2.7723 2.80515
2.8394
2.7723 2.80515
2.8394
2.7723 2.80515
2.8394
2.7723 2.80515
2.8394

cl
0
0
0
0
0
0

0.067
0.067
0.067
0.067
0.067
0.067

R bar
ucl
0.134
0.134
0.134
0.134
0.134
0.134

0.12
0.1
0.08
0.06
0.04

2.781
2.786
2.766
2.78

0.063
0.05
0.077
0.043

2.7723

0.0671

minimum Range R
1.875
1.836
1.955
1.979
1.955
1.881
1.83
1.903
1.949
1.863

0.283
0.433
0.211
0.299
0.212
0.227
0.472
0.286
0.279
0.397

1.9026

0.3099

nworth table, a summary of

2.7723
2.7723
2.7723
2.7723

x Bar
lcl
cl
1.912
1.912
1.912
1.912
1.912
1.912
1.912
1.912
1.912
1.92

2.80515
2.80515
2.80515
2.80515

2.8394
2.8394
2.8394
2.8394

ucl
2.06
2.06
2.06
2.06
2.06
2.06
2.06
2.06
2.06
2.06

0
0
0
0

lcl
2.209
2.209
2.209
2.209
2.209
2.209
2.209
2.209
2.209
2.209

0.067
0.067
0.067
0.067

R bar
ucl

cl
0
0
0
0
0
0
0
0
0
0

0.134
0.134
0.134
0.134

0.31
0.31
0.31
0.31
0.31
0.31
0.31
0.31
0.31
0.31

0.04
0.02
0
18-Jul

0.7
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62

0.6
0.5
0.4
0.3
0.2
0.1

R chart for Pod weight
0.16
R chart for Pod
0.14
0.12
0.1
0.08
0.06
0.04

Rane R
lcl
cl
ucl

ucl

0.04
0.02
0
18-Jul

20-Jul

22-Jul

24-Jul

26-Jul

28-Jul

30-Jul

1-Aug

R chart for fingure height
0.7
0.6
0.5
ucl

0.4

cl
0.3

lcl

0.2

Range R

0.1
0
18-Jul

20-Jul

22-Jul

24-Jul

26-Jul

28-Jul

30-Jul

1-Aug

L
20-Jul
21-Jul
22-Jul
23-Jul
24-Jul
27-Jul
28-Jul
29-Jul
30-Jul
31-Jul

2.792
2.774
2.797
2.819
2.754
2.784
2.844
2.806
2.843
2.816

2.81
2.783
2.79
2.787
2.793
2.781
2.799
2.786
2.766
2.79

2.777
2.799
2.785
2.809
2.82
2.733
2.781
2.836
2.795
2.823

2.799
2.82
2.795
2.862
2.846
2.801
2.802
2.815
2.778
2.802

Pod
Weight
(grams)
Day
2.803
2.812
2.866
2.823
2.823
2.823
2.82
2.836
2.835
2.78

2.788
2.807
2.826
2.816
2.807
2.844
2.813
2.808
2.783
2.804

2.795
2.799
2.81
2.819
2.807
2.794
2.81
2.815
2.8
2.803

2.81
2.82
2.866
2.862
2.846
2.844
2.844
2.836
2.843
2.823

2.777
2.774
2.785
2.787
2.754
2.733
2.781
2.786
2.766
2.78

0.033
0.046
0.081
0.075
0.092
0.111
0.063
0.05
0.077
0.043

2.773
2.773
2.773
2.773
2.773
2.773
2.773
2.773
2.773
2.773

Shift
3-Aug A
B
C
4-Aug A
B
C
5-Aug A
B
C
6-Aug A
B
C
7-Aug A
B
C
10-Aug A
B
C
11-Aug A
B
C
12-Aug A
B
C
13-Aug A
B
C
14-Aug A
B
C
17-Aug A
B
C
18-Aug A
B
C
19-Aug A
B
C

20-Aug A
B
C
21-Aug A
B
C

Exhibit 6 (continued)
Finger
Day

Shift
3-Aug A
B
C
4-Aug A
B
C
5-Aug A
B
C
6-Aug A
B
C
7-Aug A
B
C
10-Aug A
B
C
11-Aug A
B
C
12-Aug A
B
C
13-Aug A
B
C
14-Aug A
B
C
17-Aug A
B
C
18-Aug A
B
C
19-Aug A
B
C
20-Aug A
B
C

21-Aug A
B
C

1
2.8
2.75
2.768
2.841
2.801
2.778
2.76
2.829
2.741
2.814
2.787
2.766
2.774
2.77
2.832
2.829
2.85
2.803
2.815
2.782
2.779
2.815
2.846
2.767
2.85
2.81
2.85
2.75
2.83
2.74
2.753
2.851
2.845
2.844
2.806
2.849
2.82
2.79
2.85

2
2.799
2.82
2.807
2.802
2.77
2.807
2.804
2.804
2.85
2.804
2.802
2.805
2.801
2.801
2.836
2.846
2.804
2.803
2.804
2.806
2.807
2.815
2.854
2.804
2.804
2.82
2.82
2.765
2.77
2.77
2.807
2.751
2.804
2.777
2.839
2.801
2.793
2.78
2.806

Sample Number:
3
4
2.76
2.802
2.85
2.74
2.807
2.804
2.802
2.806
2.833
2.77
2.804
2.804
2.804
2.806
2.805
2.806
2.744
2.766
2.803
2.805
2.805
2.804
2.804
2.802
2.805
2.805
2.833
2.77
2.794
2.843
2.76
2.854
2.805
2.806
2.773
2.837
2.803
2.804
2.806
2.804
2.808
2.803
2.803
2.864
2.76
2.829
2.834
2.803
2.804
2.804
2.814
2.794
2.75
2.74
2.85
2.76
2.848
2.76
2.833
2.77
2.805
2.804
2.752
2.773
2.803
2.806
2.754
2.791
2.805
2.804
2.804
2.762
2.812
2.833
2.764
2.843
2.805
2.814

5
2.805
2.85
2.804
2.807
2.84
2.803
2.805
2.807
2.767
2.807
2.805
2.804
2.805
2.84
2.813
2.817
2.807
2.808
2.803
2.803
2.803
2.834
2.817
2.803
2.804
2.798
2.85
2.79
2.75
2.84
2.802
2.849
2.805
2.833
2.85
2.814
2.853
2.843
2.807

6
2.803
2.79
2.803
2.807
2.741
2.804
2.806
2.807
2.808
2.804
2.804
2.806
2.804
2.741
2.743
2.805
2.807
2.808
2.802
2.802
2.803
2.803
2.805
2.803
2.804
2.787
2.79
2.84
2.83
2.8
2.804
2.806
2.806
2.811
2.74
2.791
2.812
2.818
2.807

2.767
2.833
2.824
2.778
2.801
2.77

2.831
2.825
2.799
2.775
2.832
2.787

2.808
2.793
2.79
2.799
2.758
2.744

2.793
2.813
2.764
2.805
2.759
2.766

2.836
2.823
2.817
2.833
2.773
2.807

2.811
2.766
2.805
2.772
2.814
2.803
15

5
2.05
2.02
1.76
2.32
2.25
1.88
2.54
2.17
1.89
2.29
2.01
1.89
2.11
2.24
1.89
2.15
2.07
1.84
2.17
2.07
2.06
2.21
2.04
2.01
2.39
2.23
2.13
2.13
1.78
1.75
2.27
1.77
1.78
2.08
1.77
2.02
2.44
2.24
1.75
1.98
2.26
1.96

6
2.16
2.03
1.88
2.16
2.24
2.17
2.25
2.24
1.76
2.32
2.23
1.76
2.16
2.13
1.87
2.11
2.16
1.74
2.3
2.22
1.89
2.45
2.09
1.75
2.15
2.04
1.9
2.05
1.87
1.83
2.11
1.82
1.64
2.09
1.94
1.86
2
2.28
2.04
2.23
2.18
2.05

Sample Statistical Control Measurements

1
1.9
2.15
1.73
2.3
2.28
1.92
2.39
2.11
1.89
2.51
2.22
1.89
1.95
2.08
2.31
2.23
2.23
1.73
2.21
2.17
2.01
2.08
1.93
1.84
2.23
2.19
1.96
2.27
1.92
1.78
2.31
2.02
1.76
2.06
1.76
2.25
2.28
2.31
1.87
2.16
2.06
1.8

2
1.95
2.17
1.9
2.41
2.16
2.24
2.28
2.21
1.9
2.25
2.19
1.9
2.07
2.03
1.9
2.25
2.21
2
2.11
2.19
1.9
2.19
2.09
2.12
2.01
2.22
2.05
2
1.78
1.65
2.35
1.97
1.91
2.14
1.83
1.88
2.15
2.27
1.89
2.38
2.08
1.71

Sample Number:
3
1.94
2.11
2.07
2.54
2.19
2.11
2.1
2.24
1.73
2.08
2.22
1.78
2.25
2.27
1.86
2.21
2.05
1.79
2.21
2.15
1.9
2.28
1.9
1.9
2.25
2.18
2.16
2.06
1.76
2.04
2.25
1.81
2.01
1.91
1.79
2.11
2.17
2.16
2.03
2.2
2.14
1.65

4
2
2.13
1.89
2.37
2.08
1.89
2.36
2.21
2.07
2.35
2.24
2.07
1.95
2.23
1.91
1.89
2.19
1.75
2.44
2.04
1.81
2.29
1.95
1.89
2.11
2.15
1.87
1.97
1.77
1.63
1.99
1.73
1.85
2.06
1.79
2.18
2.18
2.1
1.69
2.25
2.24
1.68

1.75
1.9
1.8

2
1.9
2.01

Separate table for each shift

2.04
1.81
1.73

2
1.86
1.89

2.15
1.98
2.01

2.06
1.81
1.91

.
NOTE proceed to the next work sheet

Exhibit 6
Pod Weight (grams) for each shift
Shift A
Day
Shift
1
3 August A
2.8
4 August A
2.841
5 August A
2.76
6 August A
2.814
7 August A
2.774
10 August A
2.829
11 August A
2.815
12 August A
2.815
13 August A
2.85
14 August A
2.75
17 August A
2.753
18 August A
2.844
19 August A
2.82
20 August A
2.767
21 August A
2.778
Shift B
Day
Shift
1
3 August B
2.75
4 August B
2.801
5 August B
2.829
6 August B
2.787
7 August B
2.77
10 August B
2.85
11 August B
2.782
12 August B
2.846
13 August B
2.81
14 August B
2.83
17 August B
2.851
18 August B
2.806
19 August B
2.79
20 August B
2.833
21 August B
2.801
Shift C
Day
Shift
1
3 August C
2.768
4 August C
2.778
5 August C
2.741
6 August C
2.766
7 August C
2.832
10 August C
2.803
11 August C
2.779
12 August C
2.767
13 August C
2.85
14 August C
2.74
17 August C
2.845
18 August C
2.849
19 August C
2.85
20 August C
2.824

2
2.799
2.802
2.804
2.804
2.801
2.846
2.804
2.815
2.804
2.765
2.807
2.777
2.793
2.831
2.775

3
2.76
2.802
2.804
2.803
2.805
2.76
2.803
2.803
2.804
2.85
2.805
2.754
2.812
2.808
2.799

4
2.802
2.806
2.806
2.805
2.805
2.854
2.804
2.864
2.804
2.76
2.804
2.791
2.833
2.793
2.805

5
2.805
2.807
2.805
2.807
2.805
2.817
2.803
2.834
2.804
2.79
2.802
2.833
2.853
2.836
2.833

6 Mean
2.803
2.795
2.807
2.811
2.806
2.798
2.804
2.806
2.804
2.799
2.805
2.819
2.802
2.805
2.803
2.822
2.804
2.812
2.84
2.793
2.804
2.796
2.811
2.802
2.812
2.821
2.811
2.808
2.772
2.794

2
2.82
2.77
2.804
2.802
2.801
2.804
2.806
2.854
2.82
2.77
2.751
2.839
2.78
2.825
2.832

3
2.85
2.833
2.805
2.805
2.833
2.805
2.806
2.76
2.814
2.848
2.752
2.805
2.764
2.793
2.758

4
2.74
2.77
2.806
2.804
2.77
2.806
2.804
2.829
2.794
2.76
2.773
2.804
2.843
2.813
2.759

5
2.85
2.84
2.807
2.805
2.84
2.807
2.803
2.817
2.798
2.75
2.849
2.85
2.843
2.823
2.773

6 Mean
2.79
2.8
2.741
2.793
2.807
2.81
2.804
2.801
2.741
2.793
2.807
2.813
2.802
2.801
2.805
2.819
2.787
2.804
2.83
2.798
2.806
2.797
2.74
2.807
2.818
2.806
2.766
2.809
2.814
2.79

2
2.807
2.807
2.85
2.805
2.836
2.803
2.807
2.804
2.82
2.77
2.804
2.801
2.806
2.799

3
2.807
2.804
2.744
2.804
2.794
2.773
2.808
2.834
2.75
2.833
2.803
2.804
2.805
2.79

4
2.804
2.804
2.766
2.802
2.843
2.837
2.803
2.803
2.74
2.77
2.806
2.762
2.814
2.764

5
2.804
2.803
2.767
2.804
2.813
2.808
2.803
2.803
2.85
2.84
2.805
2.814
2.807
2.817

6 Mean
2.803
2.799
2.804
2.8
2.808
2.779
2.806
2.798
2.743
2.81
2.808
2.805
2.803
2.801
2.803
2.802
2.79
2.8
2.8
2.792
2.806
2.812
2.791
2.804
2.807
2.815
2.805
2.8

21 August C

2.77

2.787

2.744

2.766

2.807

2.803

2.78

Pod weight Data and R Charts for shift A, B and C
Max

Min
2.805
2.841
2.806
2.814
2.805
2.854
2.815
2.864
2.85
2.85
2.807
2.844
2.853
2.836
2.833

Max

2.76
2.802
2.76
2.803
2.774
2.76
2.802
2.803
2.804
2.75
2.753
2.754
2.793
2.767
2.772

Range
LCL
CL
UCL
LCL
0.045
2.773
2.805
2.837
0.039
2.773
2.805
2.837
0.046
2.773
2.805
2.837
0.011
2.773
2.805
2.837
0.031
2.773
2.805
2.837
0.094
2.773
2.805
2.837
0.013
2.773
2.805
2.837
0.061
2.773
2.805
2.837
0.046
2.773
2.805
2.837
0.1
2.773
2.805
2.837
0.054
2.773
2.805
2.837
0.09
2.773
2.805
2.837
0.06
2.773
2.805
2.837
0.069
2.773
2.805
2.837
0.061
2.773
2.805
2.837

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

2.74
2.741
2.804
2.787
2.741
2.804
2.782
2.76
2.787
2.75
2.751
2.74
2.764
2.766
2.758

Range
LCL
CL
UCL
LCL
0.11
2.773
2.805
2.837
0.099
2.773
2.805
2.837
0.025
2.773
2.805
2.837
0.018
2.773
2.805
2.837
0.099
2.773
2.805
2.837
0.046
2.773
2.805
2.837
0.024
2.773
2.805
2.837
0.094
2.773
2.805
2.837
0.033
2.773
2.805
2.837
0.098
2.773
2.805
2.837
0.1
2.773
2.805
2.837
0.11
2.773
2.805
2.837
0.079
2.773
2.805
2.837
0.067
2.773
2.805
2.837
0.074
2.773
2.805
2.837

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

2.768
2.778
2.741
2.766
2.743
2.773
2.779
2.767
2.74
2.74
2.803
2.762
2.805
2.764

Range
LCL
CL
UCL
LCL
0.039
2.773
2.805
2.837
0.029
2.773
2.805
2.837
0.109
2.773
2.805
2.837
0.04
2.773
2.805
2.837
0.1
2.773
2.805
2.837
0.064
2.773
2.805
2.837
0.029
2.773
2.805
2.837
0.067
2.773
2.805
2.837
0.11
2.773
2.805
2.837
0.1
2.773
2.805
2.837
0.042
2.773
2.805
2.837
0.087
2.773
2.805
2.837
0.045
2.773
2.805
2.837
0.06
2.773
2.805
2.837

0
0
0
0
0
0
0
0
0
0
0
0
0
0

Min
2.85
2.84
2.829
2.805
2.84
2.85
2.806
2.854
2.82
2.848
2.851
2.85
2.843
2.833
2.832

Max

Min
2.807
2.807
2.85
2.806
2.843
2.837
2.808
2.834
2.85
2.84
2.845
2.849
2.85
2.824

CL

UCL
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067

CL

0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
UCL

0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
CL

0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
UCL

0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067
0.067

0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134
0.134

2.807

2.744

0.063

2.773

2.805

2.837

0

0.067

0.134

Shift A
0.16
0.14
0.12
0.1

Range
LCL

0.08

CL

0.06

UCL
0.04
0.02
0
0

5

10

15

20

Shift B
0.16
0.14
0.12
0.1

Range
LCL

0.08

CL

0.06

UCL

0.04
0.02
0
0

5

10

15

20

Shift C
0.16
0.14
0.12
0.1
0.08
0.06

Range
LCL
CL
UCL

CL

0.06

UCL

0.04
0.02
0
0

5

10

15

20

Range
LCL
CL
UCL

CL
UCL

Exhibit 6
Pod Weight (grams) for each shift
Shift A
Day
Shift
1
3 August A
2.8
4 August A
2.841
5 August A
2.76
6 August A
2.814
7 August A
2.774
10 August A
2.829
11 August A
2.815
12 August A
2.815
13 August A
2.85
14 August A
2.75
17 August A
2.753
18 August A
2.844
19 August A
2.82
20 August A
2.767
21 August A
2.778
Shift B
Day
Shift
1
3 August B
2.75
4 August B
2.801
5 August B
2.829
6 August B
2.787
7 August B
2.77
10 August B
2.85
11 August B
2.782
12 August B
2.846
13 August B
2.81
14 August B
2.83
17 August B
2.851
18 August B
2.806
19 August B
2.79
20 August B
2.833
21 August B
2.801
Shift C
Day
Shift
1
3 August C
2.768
4 August C
2.778
5 August C
2.741
6 August C
2.766
7 August C
2.832
10 August C
2.803
11 August C
2.779
12 August C
2.767
13 August C
2.85
14 August C
2.74
17 August C
2.845
18 August C
2.849
19 August C
2.85

2
2.799
2.802
2.804
2.804
2.801
2.846
2.804
2.815
2.804
2.765
2.807
2.777
2.793
2.831
2.775

3
2.76
2.802
2.804
2.803
2.805
2.76
2.803
2.803
2.804
2.85
2.805
2.754
2.812
2.808
2.799

4
2.802
2.806
2.806
2.805
2.805
2.854
2.804
2.864
2.804
2.76
2.804
2.791
2.833
2.793
2.805

5
2.805
2.807
2.805
2.807
2.805
2.817
2.803
2.834
2.804
2.79
2.802
2.833
2.853
2.836
2.833

6 Mean
2.803
2.795
2.807
2.811
2.806
2.798
2.804
2.806
2.804
2.799
2.805
2.819
2.802
2.805
2.803
2.822
2.804
2.812
2.84
2.793
2.804
2.796
2.811
2.802
2.812
2.821
2.811
2.808
2.772
2.794

2
2.82
2.77
2.804
2.802
2.801
2.804
2.806
2.854
2.82
2.77
2.751
2.839
2.78
2.825
2.832

3
2.85
2.833
2.805
2.805
2.833
2.805
2.806
2.76
2.814
2.848
2.752
2.805
2.764
2.793
2.758

4
2.74
2.77
2.806
2.804
2.77
2.806
2.804
2.829
2.794
2.76
2.773
2.804
2.843
2.813
2.759

5
2.85
2.84
2.807
2.805
2.84
2.807
2.803
2.817
2.798
2.75
2.849
2.85
2.843
2.823
2.773

6 Mean
2.79
2.8
2.741
2.793
2.807
2.81
2.804
2.801
2.741
2.793
2.807
2.813
2.802
2.801
2.805
2.819
2.787
2.804
2.83
2.798
2.806
2.797
2.74
2.807
2.818
2.806
2.766
2.809
2.814
2.79

2
2.807
2.807
2.85
2.805
2.836
2.803
2.807
2.804
2.82
2.77
2.804
2.801
2.806

3
2.807
2.804
2.744
2.804
2.794
2.773
2.808
2.834
2.75
2.833
2.803
2.804
2.805

4
2.804
2.804
2.766
2.802
2.843
2.837
2.803
2.803
2.74
2.77
2.806
2.762
2.814

5
2.804
2.803
2.767
2.804
2.813
2.808
2.803
2.803
2.85
2.84
2.805
2.814
2.807

6 Mean
2.803
2.799
2.804
2.8
2.808
2.779
2.806
2.798
2.743
2.81
2.808
2.805
2.803
2.801
2.803
2.802
2.79
2.8
2.8
2.792
2.806
2.812
2.791
2.804
2.807
2.815

20 August C
21 August C

2.824
2.77

2.799
2.787

2.79
2.744

2.764
2.766

2.817
2.807

2.805
2.803

2.8
2.78

Max

Min
2.805
2.841
2.806
2.814
2.805
2.854
2.815
2.864
2.85
2.85
2.807
2....


Anonymous
Very useful material for studying!

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