ISS (Statistical Services) Statistics Paper IV: Questions 34 - 36 of 79

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Question number: 34

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

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?

**Find whether production is under control for R chart**

Find whether production is under control for mica discs
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

**Find whether production is under control for R chart - mica Total, Mean and Range**

Find whether production is under control for mica discs
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
4	12	8	6	9	12	6
5	11	10	6	14	11	8
6	7	7	10	4	11	7
7	10	7	4	10	10	6
8	8	11	11	7	7	4
9	8	11	8	14	12	6
10	12	9	12	17	11	8
11	7	7	9	17	13	10
12	9	9	4	4	11	7
13	10	12	12	12	12	2
14	8	11	9	6	8	5
15	10	13	9	4	9	9
16	9	11	8	5	11	6
					Total	102

… (47 more words) …

Question number: 35

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

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?

**Samples and observations in table as given below**

We have a detailed samples and observations given below
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

**Samples and observations in table with range given**

We have a detailed samples and observations given below
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	77	84	84	48
5	42	51	57	59	78	78	36
6	51	74	75	78	132	132	81
7	60	60	72	95	138	138	78
8	18	20	27	42	60	60	42
9	15	30	39	62	84	84	69
10	69	109	113	118	153	153	84
11	64	90	93	109	112	112	48
12	61	78	94	109	136	136	75
							716

… (49 more words) …

Question number: 36

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

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?

**Samples and observations in table are given**

We have a detailed samples and observations given below
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

**Samples and observations in table with mean, range and total are given**

We have a detailed samples and observations given below
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	15.83	63.68	15.92	0.17
4	16.20	15.85	15.74	15.93	63.72	15.93	0.46
5	15.74	15.86	16.21	16.10	63.91	15.98	0.47
6	15.94	16.01	16.14	16.03	64.12	16.03	0.20
7	15.75	16.21	16.01	15.86	63.83	15.96	0.46
8	15.82	15.94	16.02	15.94	63.72	15.93	0.20
9	16.04	15.98	15.83	15.98	63.83	15.96	0.21
10	15.64	15.86	15.94	15.89	63.33	15.83	0.30
11	16.11	16.00	16.01	15.82	63.94	15.99	0.29
12	15.72	15.85	16.12	16.15	63.84	15.96	0.43
13	15.85	15.76	15.74	15.98	63.33	15.83	0.24
14	15.73	15.84	15.96	16.10	63.63	15.91	0.37
15	16.20	16.01	16.10	15.89	64.20	16.05	0.31
16	16.12	16.08	15.83	15.94	63.97	15.99	0.29
17	16.01	15.93	15.81	15.68	63.43	15.86	0.33
18	15.78	16.04	16.11	16.12	64.05	16.01	0.34
19	15.84	15.92	16.05	16.12	63.93	15.98	0.28
20	15.92	16.09	16.12	15.93	64.06	16.02	0.20
21	16.11	16.02	16.00	15.88	64.01	16.00	0.23
22	15.98	15.82	15.89	15.89	63.58	15.90	0.16
23	16.05	15.73	15.73	15.93	63.44	15.86	0.32
24	16.01	16.01	15.89	15.86	63.77	15.94	0.15
25	16.08	15.78	15.92	15.98	63.76	15.94	0.30
						398.67	7.17

… (62 more words) …