ISS (Statistical Services) Statistics Paper IV: Questions 27 - 30 of 92

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Question 27

Describe in Detail

Essay▾

Compute GFR, SFR, TFR and GRR from the data given below:

Find Out the GFR, SFR, TFR and GRR
Age groups of child bearing femalesNumber of women (՚000)Total births
15 - 1916.0260
20 - 2416.42244
25 - 2915.81894
30 - 3415.21320
35 - 3914.8916
40 - 4415.0280
45 - 4914.5145

Assume that the proportion of female births is 46.2 percent.

Explanation

First write the formula of GFR, SFR, TFR and GRR is

Age Group, Number of Women and Total Birth Trough That Find Out ASFR
Age groups of child bearing femalesNumber of women (՚000)Total birthsASFR
15 - 191626016
20 - 2416.42244137
25 - 2915.81894120
30 - 3415.2132087
35 - 3914.891662
40 - 441528019
45 - 4914.514510
Total107.77059451

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Question 28

Describe in Detail

Essay▾

The following are the figures of defectives in 22 lots each containing 2,000 bulbs. Ind control limit for p-Chart.

Finding the Correct Answer from the Choices Given Below
425430216341225322280306337305356
402216264126409193326280389451420

Explanation

We have n = 2000

Finding the Correct Answer from the Choices Given Below
S. No.d
14250.2125
24300.215
32160.108
43410.1705
52250.1125
63220.161
72800.14
83060.153
93370.1685
103050.1525
113560.178
124020.201
132160.108
142640.132
151260.063
164090.2045
171930.0965
183260.163
192800.14
203890.1945
214510.2255
224200.21
Total3.5095

Control limits for charts

3-σcontrol limits…

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Question 29

Edit

Describe in Detail

Essay▾

Each day a sample of 1500 items from a production process was examined. The number of defectives found in each sample was as follows. With a suitable control chart, check out for control 4, 6, 6, 2,15, 4,4

Explanation

We have n = 30

Find Whether Production is under Control for 1500 Items
S. No.d
140.00267
260.00400
360.00400
420.00133
5150.01000
640.00267
740.00267
Total410.02733

Control limits for charts

3-σ control limits for the p chart are given by

⇾ 0

The 5th Sample Fall Outside the Control Limit

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Question 30

Describe in Detail

Essay▾

a) The number of customer complaints are recorded at a television manufacturing company. Complaints have been recorded over the past 20 weeks. Construct 3-σ control limits for the c-chart.

What is the 3 Sigma Control Limit for C-Chart
WeekNo. of complaintsWeekNo. of complaints
10114
23123
34131
41141
50151
60160
73172
81181
91192
100202

b) A machine is manufacturing mica discs. samples of size 5 are drawn every hour and their thickness in units are recorded as follows. From this data construct 3-σ control limits for chart.

What is the 3 Sigma Control Limit for X Bar-Chart
Sample No.Observstions
18915411
2710768
3111210910
41286912
5111061411
67710411
710741010
88111177
981181412
10129121711
117791713
12994411
131012121212
14811968
151013949
169118511

Explanation

a) Average number of defects per sample is

= 1.5 + = 1.5 + 3 (1.22) = 5.174

= ⇾ 0

Since number of defects cannot be negative, can be considered as zero. (rounded up to zero)

b) Second question:

From the tables, for n = 5, we have

Control limits for :

And

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