ISS (Statistical Services) Statistics Paper IV: Questions 34 - 36 of 79
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Question number: 34
» Statistical Quality Control » Control Charts » Variable
Describe in Detail
A machine is manufacturing mica discs. Samples of size 5 are drawn every hour and their thickness in units are recorded as follows. Based on chart, Check whether the production is under control?
|
Sample No.
|
Observstions
| ||||
|
1
|
8
|
9
|
15
|
4
|
11
|
|
2
|
7
|
10
|
7
|
6
|
8
|
|
3
|
11
|
12
|
10
|
9
|
10
|
|
4
|
12
|
8
|
6
|
9
|
12
|
|
5
|
11
|
10
|
6
|
14
|
11
|
|
6
|
7
|
7
|
10
|
4
|
11
|
|
7
|
10
|
7
|
4
|
10
|
10
|
|
8
|
8
|
11
|
11
|
7
|
7
|
|
9
|
8
|
11
|
8
|
14
|
12
|
|
10
|
12
|
9
|
12
|
17
|
11
|
|
11
|
7
|
7
|
9
|
17
|
13
|
|
12
|
9
|
9
|
4
|
4
|
11
|
|
13
|
10
|
12
|
12
|
12
|
12
|
|
14
|
8
|
11
|
9
|
6
|
8
|
|
15
|
10
|
13
|
9
|
4
|
9
|
|
16
|
9
|
11
|
8
|
5
|
11 |
Explanation
|
Sample No.
|
Observations
|
Sample Range
| ||||
|
1
|
8
|
9
|
15
|
4
|
11
|
11
|
|
2
|
7
|
10
|
7
|
6
|
8
|
4
|
|
3
|
11
|
12
|
10
|
9
|
10
|
3… (148 more words) … |
Question number: 35
» Statistical Quality Control » Control Charts » Variable
Describe in Detail
Construct control limits for chart for the following data based on electric fuses, samples of 5 being taken every hour. Using, R-charts test whether the production is under control?
|
Sample No.
|
Observations
| ||||
|
1
|
42
|
65
|
75
|
78
|
87
|
|
2
|
42
|
45
|
68
|
72
|
90
|
|
3
|
19
|
24
|
80
|
81
|
81
|
|
4
|
36
|
54
|
69
|
77
|
84
|
|
5
|
42
|
51
|
57
|
59
|
78
|
|
6
|
51
|
74
|
75
|
78
|
132
|
|
7
|
60
|
60
|
72
|
95
|
138
|
|
8
|
18
|
20
|
27
|
42
|
60
|
|
9
|
15
|
30
|
39
|
62
|
84
|
|
10
|
69
|
109
|
113
|
118
|
153
|
|
11
|
64
|
90
|
93
|
109
|
112
|
|
12
|
61
|
78
|
94
|
109
|
136 |
Explanation
|
Sample No.
|
Observations
|
Sample Range
| |||||
|
1
|
42
|
65
|
75
|
78
|
87
|
87
|
45
|
|
2
|
42
|
45
|
68
|
72
|
90
|
90
|
48
|
|
3
|
19
|
24
|
80
|
81
|
81
|
81
|
62
|
|
4
|
36
|
54
|
69… (130 more words) … | ||||
Question number: 36
» Statistical Quality Control » Control Charts » Variable
Describe in Detail
Following is the data of 25 samples with 4 observations on the basis of volume of the bottles filled. Using a control limits for chart, Test whether the production is under control?
|
Sample No.
|
Observations
|
|
Sample No.
|
Observations
| ||||||
|
1
|
15.85
|
16.02
|
15.83
|
15.93
|
|
13
|
15.85
|
15.76
|
15.74
|
15.98
|
|
2
|
16.12
|
16.00
|
15.85
|
16.01
|
|
14
|
15.73
|
15.84
|
15.96
|
16.10
|
|
3
|
16.00
|
15.91
|
15.94
|
15.83
|
|
15
|
16.20
|
16.01
|
16.10
|
15.89
|
|
4
|
16.20
|
15.85
|
15.74
|
15.93
|
|
16
|
16.12
|
16.08
|
15.83
|
15.94
|
|
5
|
15.74
|
15.86
|
16.21
|
16.10
|
|
17
|
16.01
|
15.93
|
15.81
|
15.68
|
|
6
|
15.94
|
16.01
|
16.14
|
16.03
|
|
18
|
15.78
|
16.04
|
16.11
|
16.12
|
|
7
|
15.75
|
16.21
|
16.01
|
15.86
|
|
19
|
15.84
|
15.92
|
16.05
|
16.12
|
|
8
|
15.82
|
15.94
|
16.02
|
15.94
|
|
20
|
15.92
|
16.09
|
16.12
|
15.93
|
|
9
|
16.04
|
15.98
|
15.83
|
15.98
|
|
21
|
16.11
|
16.02
|
16.00
|
15.88
|
|
10
|
15.64
|
15.86
|
15.94
|
15.89
|
|
22
|
15.98
|
15.82
|
15.89
|
15.89
|
|
11
|
16.11
|
16.00
|
16.01
|
15.82
|
|
23
|
16.05
|
15.73
|
15.73
|
15.93
|
|
12
|
15.72
|
15.85
|
16.12
|
16.15
|
|
24
|
16.01
|
16.01
|
15.89
|
15.86
|
|
|
|
|
|
|
|
25
|
16.08
|
15.78
|
15.92
|
15.98 |
Explanation
|
Sample No.
|
Observations
|
Total
|
Sample Mean
|
Range
| |||
|
1
|
15.85
|
16.02
|
15.83
|
15.93
|
63.63
|
15.91
|
0.19
|
|
2
|
16.12
|
16.00
|
15.85
|
16.01
|
63.98
|
16.00
|
0.27
|
|
3
|
16.00
|
15.91
|
15.94… (247 more words) … | ||||