Statistical Quality Control [ISS (Statistical Services) Statistics Paper IV]: Questions 9 - 11 of 34
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Question 9
Describe in Detail Subjective▾
Six samples, which contain 20 observations per sample, have been collected and the sample means and sample ranges are computed as shown below. Test whether the sample means are within control limits for ?
Sample | Mean | Range |
1 | 3.06 | 0.42 |
2 | 3.15 | 0.5 |
3 | 3.11 | 0.41 |
4 | 3.13 | 0.46 |
5 | 3.06 | 0.46 |
6 | 3.09 | 0.45 |
Explanation
The sample size here is 20 .
We are given that
Sample | Mean ( | Range (R) |
1 | 3.06 | 0.42 |
2 | 3.15 | 0.5 |
3 | 3.11 | 0.41 |
4 | 3.13 | 0.46 |
5 | 3.06 | 0.46 |
6 | 3.09 | 0.45 |
Total | 18.6 | 2.7 |
… (37 more equations, 8 figures) …
Question 10
Describe in Detail Subjective▾
Construct a control chart for mean for the following data based on fuses, samples of 5 being taken every hour. Check whether the production is under control?
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 |
Total | 859.2 | 716 |
Explanation
… (59 more words, 1 table) …
Question 11
Describe in Detail Subjective▾
a) What is the small percentage of defects that consumers are willing to accept?
b) What is upper limit of the percentage of defective items consumers are willing to tolerate?
c) What is probability that a lot will be accepted that contains a greater number of defects than the LTPD limit known as?
EditExplanation
a) The small percentage of defects that consumers are willing to accept is known as Acceptance Quality level (AQL) .
If is a lot with relatively small fraction defective, that we do not wish to reject then
P (rejecting a lot of quality ) = 0.05 Or P (Accepting a lot of quality ) = 0.95
Consu…
… (125 more words) …