ISS (Statistical Services) Statistics Paper IV: Questions 20 - 22 of 92

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Question 20

Describe in Detail

Essay▾

The following are figures of defective bulbs in 10 lots each containing 30 bulbs. Construct 3-σ control limits for the p-chart.

What is the 3 Sigma Control Limit for P-Chart
SampleNo. of defective (d)
11
23
33
41
50
65
71
81
91
101

Explanation

We have n = 30

What is the 3 Sigma Control Limit for P-Chart
SampleNo. of defective (d)
110.033
230.100
330.100
410.033
500.000
650.167
710.033
810.033
910.033
1010.033
Total0.567

Control limits for charts

3-σcontrol limits for the p chart are given by

⇾ 0

… (3 more words) …

Question 21

Describe in Detail

Essay▾

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

Given Are Observations Find Control Limits for X Bar Chart
Sample No.ObservationsSample No.Observations
115.8516.0215.8315.931315.8515.7615.7415.98
216.1216.0015.8516.011415.7315.8415.9616.10
316.0015.9115.9415.831516.2016.0116.1015.89
416.2015.8515.7415.931616.1216.0815.8315.94
515.7415.8616.2116.101716.0115.9315.8115.68
615.9416.0116.1416.031815.7816.0416.1116.12
715.7516.2116.0115.861915.8415.9216.0516.12
815.8215.9416.0215.942015.9216.0916.1215.93
916.0415.9815.8315.982116.1116.0216.0015.88
1015.6415.8615.9415.892215.9815.8215.8915.89
1116.1116.0016.0115.822316.0515.7315.7315.93
1215.7215.8516.1216.152416.0116.0115.8915.86
2516.0815.7815.9215.98

Explanation

From the above data we get

From the tables, for n = 4, we have

Control limits for :

And

… (17 more words) …

Question 22

Describe in Detail

Essay▾

A electric Company uses a process to paint refrigerators with a coat of enamel. During each shift, a sample of five refrigerators is selected and the thickness of the paint in mm is determined. Find upper control limit (UCL) the lower control limit (LCL) for chart.

We Have a Detailed Samples and Observations Given Below
Sample No.Observations
12.72.32.62.42.7
22.62.42.62.32.8
32.32.32.42.52.4
42.82.32.42.62.7
52.62.52.62.12.8
62.22.32.72.22.6
72.22.62.42.02.3
82.82.62.62.72.5
92.42.82.42.22.3
102.62.32.02.52.4
113.13.03.52.83.0
122.42.82.22.92.5
132.13.22.52.62.8
142.22.82.12.22.4
152.43.02.52.52.0
163.12.62.62.82.1
172.92.42.91.31.8
181.91.62.63.33.3
192.32.62.72.83.2
201.82.82.32.02.9

Explanation

From the tables, for n = 5, we have

Control limits for :

And

… (19 more words) …