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 ?

Test Mean Samples and Check if They Are in Control Limits
SampleMeanRange
13.060.42
23.150.5
33.110.41
43.130.46
53.060.46
63.090.45
Edit

Explanation

The sample size here is 20 .

We are given that

Test Mean Samples and Check if They Are in Control Limits Mean and Range
SampleMean (Range (R)
13.060.42
23.150.5
33.110.41
43.130.46
53.060.46
63.090.45
Total18.62.7

… (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?

Given Are Observations is Whether the Production is under Control?
Sample No.Observations
1426575788787
2424568729090
3192480818181
4365469778484
5425157597878
651747578132132
760607295138138
8182027426060
9153039628484
1069109113118153153
11649093109112112
12617894109136136
Total859.2716
Edit

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?

Edit

Explanation

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) …