(b) In the manufacturing of a certain scientific instrument great importance is attached to the life of a particular critical component. This component is obtained in bulk from two sources, A and B, and in the course of inspection, the lives of 1000 of the components from each source are determined. The following frequency tables are obtained: -[3] Source A Source B Life(hours) No of Component Life (hours) No of component 1000-1020 40 1030-1040 339 1020-1040 1040-1050 136 1040-1060 364 1050-1060 25 1060-1080 372 1060-1070 20 1080-1100 85 1070-1080 130 1100-1120 43 1080-1090 350 Find missing value of x and Standard deviation, when = 1059.90 for each source and compare them.

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(b) In the manufacturing of a certain scientific instrument great importance is
attached to the life of a particular critical component. This component is obtained in
bulk from two sources, A and B, and in the course of inspection, the lives of 1000 of
the components from each source are determined. The following frequency tables
are obtained: -[3]
Source A
Source B
Life (hours) No of
Life(hours)
No of
component
Component
1000-1020
40
1030-1040
339
1020-1040
1040-1050
136
1040-1060
364
1050-1060
25
1060-1080
372
1060-1070
20
1080-1100
85
1070-1080
130
1100-1120
43
1080-1090
350
Find missing value of x and Standard deviation, when = 1059.90 for each source and
compare them.
Transcribed Image Text:(b) In the manufacturing of a certain scientific instrument great importance is attached to the life of a particular critical component. This component is obtained in bulk from two sources, A and B, and in the course of inspection, the lives of 1000 of the components from each source are determined. The following frequency tables are obtained: -[3] Source A Source B Life (hours) No of Life(hours) No of component Component 1000-1020 40 1030-1040 339 1020-1040 1040-1050 136 1040-1060 364 1050-1060 25 1060-1080 372 1060-1070 20 1080-1100 85 1070-1080 130 1100-1120 43 1080-1090 350 Find missing value of x and Standard deviation, when = 1059.90 for each source and compare them.
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