ISS (Statistical Services) Statistics Paper IV: Questions 6 - 8 of 92

Question 1

Essay Question▾

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Which control charts are used for continuous data? What is the chart we use to test the quality characteristics of a product such as diameter of a screw known as?

Question 2

Essay Question▾

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1) When the characteristic representing the quality of a product is a discrete variable which chart can be used? Find 3- σ control limits on the chart.

2) Construct 3- σ control limits for and R charts for the following data, based on fuses, samples of 5 being taken every hour.

**Given are observations and samples in the table below**

Given are observations & samples in the table below
Sample No.	Observations
1	42	65	75	78	87	87
2	42	45	68	72	90	90
3	19	24	80	81	81	81
4	36	54	69	77	84	84
5	42	51	57	59	78	78
6	51	74	75	78	132	132
7	60	60	72	95	138	138
8	18	20	27	42	60	60
9	15	30	39	62	84	84
10	69	109	113	118	153	153
11	64	90	93	109	112	112
12	61	78	94	109	136	136

Question 3

Essay Question▾

Describe in Detail

Following is the data of 25 samples with 4 observations on the basis of volume of the bottles filled. Obtain the control limits for .

**Given are observations find control limits for R Chart**

Given are observations find control limits for R Chart
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

ISS (Statistical Services) Statistics Paper IV: Questions 6 - 8 of 92

Question number: 6

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Explanation

Question number: 7

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Explanation

Question number: 8

Describe in Detail

Explanation

Sample No.	Observations				Range
1	15.85	16.02	15.83	15.93	0.19
2	16.12	16.00	15.85	16.01	0.27
3	16.00	15.91	15.94	15.83	0.17
4	16.20	15.85	15.74	15.93	0.46
5	15.74	15.86	16.21	16.10	0.47
6	15.94	16.01	16.14	16.03	0.20
7	15.75	16.21	16.01	15.86	0.46
8	15.82	15.94	16.02	15.94	0.20
9	16.04	15.98	15.83	15.98	0.21
10	15.64	15.86	15.94	15.89	0.30
11	16.11	16.00	16.01	15.82	0.29
12	15.72	15.85	16.12	16.15	0.43
13	15.85	15.76	15.74	15.98	0.24
14	15.73	15.84	15.96	16.10	0.37
15	16.20	16.01	16.10	15.89	0.31
16	16.12	16.08	15.83	15.94	0.29
17	16.01	15.93	15.81	15.68	0.33
18	15.78	16.04	16.11	16.12	0.34
19	15.84	15.92	16.05	16.12	0.28
20	15.92	16.09	16.12	15.93	0.20
21	16.11	16.02	16.00	15.88	0.23
22	15.98	15.82	15.89	15.89	0.16
23	16.05	15.73	15.73	15.93	0.32
24	16.01	16.01	15.89	15.86	0.15
25	16.08	15.78	15.92	15.98	0.30
					7.17