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69
70
71
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
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80
81
p-Chart
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Average proportion 0.11 UCL = 0.2039 AVE = 0.1100 LCL = 0.0161
Sample size n = 100 10.235156 0.2039 0.1100 0.0161 0
Calculations:
p
Average 0.11
Sample p
10.07
20.1
30.12
40.04
50.09
60.11
70.1
80.18
90.13
10 0.1
11 0.08
12 0.12
13 0.09
14 0.1
15 0.16
16 0.1
17 0.08
18 0.12
19 0.1
20 0.21
21 Note: To display more data on the above graph, right click on the x-axis,
24
0.05
0.10
0.15
0.20
0.25
p-Chart
UCL = 0.2039
AVE = 0.1100
LCL = 0.0161
Clear
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57
58
59
60
61
62
63
64
25
26
27
28
29
30
31
32
33
34
65
66
67
68
69
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
70
71
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<Back
UCL = 7.2434 AVE = 2.5000 LCL = 0.0000
Average defects/unit 2.5 18.824555 7.2434 2.5000 0.0000 0
z = 3 20 8.824555 7.2434 2.5000 0.0000 0
LCL = 0
Calculations:
c
Average 2.5
Sample c
1 3
2 2
3 4
4 5
5 1
6 2
7 4
8 1
9 2
10 1
11 3
12 4
13 2
14 4
15 2
16 1
17 3
18 1Note: To display more data on the above graph, right click on the x-axis,
21
0.00
1.00
3.00
4.00
5.00
8.00
9.00
10.00
0 5 10 15 20
c-Chart
LCL = 0.0000
Sample c’s
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25
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29
30
41
42
43
44
45
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47
48
49
50
51
52
53
54
55
56
57
58
31
32
33
34
35
36
37
38
39
40
59
60
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
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62
63
64
65
66
67
68
69
70
96
97
98
99
100
Runs Tests
<Back
Number of observations 20
Median 11 Median = 11.0000
111.0000
Median U/D 20 11.0000
Expected runs E(r) = 11 13
Standard Deviatio
s = 2.179449472 1.798147195
Median 11
Sample Mean A/B U/D
110 B
210.4 B U
310.2 B D
411.5 A U
510.8 B D
611.6 A U
711.1 A D
811.2 A U
910.6 B D
10 10.9 B U
11 10.7 B D
12 11.3 A U
13 10.8 B D
14 11.8 A U
15 11.2 A D
16 11.6 A U
17 11.2 A D
18 10.6 B D
19 10.7 B U
20 11.9 A U
21
22
23 Note: To display more data on the above graph, right click on the x-axis,
24 select Format Axis, and set Maximum to higher value.
25 The size of the graph may also be increased.
26
27
10.00
10.50
12.00
Median = 11.0000 Sample Means
Clear
Actual Runs 10 17
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43
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48
49
50
51
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54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
28
29
30
31
32
33
34
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
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Example 7,8,9
Process Capability
<Back
Standard Process Specification
Process Deviation Capability Width Cp
Non centered
Process Standard Lower Upper
Process Mean Deviation Specification Index Specification Index
Cpk
A9.2 0.3 7.5 1.888888889 10.5 1.444444444 1.444444444
Page 52
Solved Problem 1
Normal Distribution
<Back
Mean = 1
Std Dev = 0.05 0.825 0.017454
0.93 2.994549
z = 0.4 0.965 6.245079
1.07 2.994549
P(two tail) = 0.689156517 1.105 0.879672
1.175 0.017454
Normal Inverse 1.02 0
1.02 7.978846
Mean =
Std Dev =
P(two tail) =
z =
x =
Note: for part b, enter Std Dev = .05/SQRT(25) = .01 in top table above.
Page 53
Mean Control Chart (s unknown)
<Back
Average of sample means 10.04
20 11.0176 10.4196 10.0400 9.6604 9.0624
Calculations:
Mean Range
Average 10.04 0.52
Sample Mean Range
110 0.4
39.9 0.4
510 0.6
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23 Note: To display more data on the above graph, right click on the x-axis,
26
9.60
9.80
9.90
10.10
10.30
10.40
Mean Contol Chart (sunknown)
UCL = 10.4196
Average of sample ranges 0.52 UCL = 10.4196 AVE = 10.0400 LCL = 9.6604
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40
41
42
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45
46
47
48
49
50
51
52
53
54
55
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59
60
61
62
63
64
65
66
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28
29
30
31
32
33
67
68
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Table.
nA2
21.88
69
70
71
72
73
74
75
76
77
78
31.02
40.73
60.48
80.37
90.34
10 0.31
12 0.27
14 0.24
15 0.22
16 0.21
18 0.19
20 0.18
Range Control Chart
<Back
Average of sample ranges 0.52 UCL = 1.1856 AVE = 0.5200 LCL = 0.0000
Calculations:
Range
Average 0.52
Sample Range
10.4
20.6
30.4
40.6
50.6
6
8
9
10
11
12
13
14
15
16
17
18
19
23
24
25
26
0.00
0.20
0.40
0.60
0.80
1.40
Range Contol Chart
Sample Ranges
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28
29
30
31
32
33
34
45
46
47
48
49
50
51
52
53
54
55
56
57
59
60
61
62
63
64
65
66
35
36
37
38
39
40
41
42
43
44
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
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68
69
70
71
72
73
74