ISS (Statistical Services) Statistics Paper IV: Questions 34 - 36 of 92

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Question 34

Describe in Detail

Essay▾

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 Mica Discs
Sample No.Observstions
18915411
2710768
3111210910
41286912
5111061411
67710411
710741010
88111177
981181412
10129121711
117791713
12994411
131012121212
14811968
151013949
169118511

Explanation

Control limits for R chart:

For n = 5, from the tables we the value of and

= 0

Production is under Control for Mica Discs as Shown

Since all the points fall within the control limits, the process is under control.

… (15 more words) …

Question 35

Describe in Detail

Essay▾

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?

We Have a Detailed Samples and Observations Given Below
Sample No.Observations
14265757887
24245687290
31924808181
43654697784
54251575978
651747578132
760607295138
81820274260
91530396284
1069109113118153
11649093109112
12617894109136

Explanation

From the above data we get

From the tables, for n = 5, ,

Control limits for R :

= 0

R Chart – Range, Cl, UCL and LCL

Since all the sample points fall within the control limits, R chart shows the process is in control.

… (15 more words) …

Question 36

Describe in Detail

Essay▾

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?

We Have a Detailed Samples and Observations Given Below
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

X-Bar Chart - Observations from Table with Range Given

Since all the sample points falls within the control limits process is under control.

… (16 more words) …