In the manufacture of a certain scientific instrument great importance is attached to the life of a critical component. This component is obtained in bulk from two sources, A and B, and in a course of inspection, the lives of 1000 of the components from each source are determined. The following frequency tables are obtained: QI. Source A Life (hours) 1000 - 1020 Source B Life (hours) 1030 - 1040 No. of components No. of components 40 339 1020 - 1040 96 1040 – 1050 136 364 372 1040 - 1060 1050 - 1060 25 1060 - 1080 1080 - 1100 1100 - 1120 1060 - 1070 1070 - 1080 20 85 130 43 1080 – 1090 350 Examine the effectiveness of the measures of dispersion with which you are familiar for comparing the dispersion of the two distributions.

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QI.
In the manufacture of a certain scientific instrument great importance is attached to the life of a critical
component. This component is obtained in bulk from two sources, A and B, and in a course of inspection,
the lives of 1000 of the components from each source are determined. The following frequency tables are
obtained:
Source A
Life (hours)
1000 1020
1020 - 1040
1040 - 1060
1060 - 1080
1080 - 1100
1100 -1120
Examine the effectiveness of the measures of dispersion with which you are familiar for comparing the
dispersion of the two distributions.
Source B
No. of components Life (hours)
1040
No. of components
40
1030
339
96
1040 - 1050
136
364
1050 - 1060
25
372
1060 – 1070
20
85
1070 - 1080
130
43
1080 - 1090
350
Transcribed Image Text:QI. In the manufacture of a certain scientific instrument great importance is attached to the life of a critical component. This component is obtained in bulk from two sources, A and B, and in a course of inspection, the lives of 1000 of the components from each source are determined. The following frequency tables are obtained: Source A Life (hours) 1000 1020 1020 - 1040 1040 - 1060 1060 - 1080 1080 - 1100 1100 -1120 Examine the effectiveness of the measures of dispersion with which you are familiar for comparing the dispersion of the two distributions. Source B No. of components Life (hours) 1040 No. of components 40 1030 339 96 1040 - 1050 136 364 1050 - 1060 25 372 1060 – 1070 20 85 1070 - 1080 130 43 1080 - 1090 350
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