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Question

The dataset for two factories are given:
Factory 1: 10.1,9.9,10.1,9.9,9.9,10.1,9.9,10.1,9.9,10.1
Factory 2: 16,5,7,14,6,15,3,13,9,12
Which factory is more reliable?

A
Factory 1
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B
Factory 2
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C
Both
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D
Cannot be concluded.
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Solution

The correct option is D Factory 1
Factory110.109.910.109.909.910.109.910.109.910.1______100 x¯¯¯x0.10.10.10.10.10.10.10.10.10.1 (x¯¯¯¯¯x)20.010.010.010.010.010.010.010.010.010.01________0.1 Factory216050714061503130912________100 (x¯¯¯x)065304405703102 (x¯¯¯x)236250916162549090104_____190

¯¯¯x=10010=10 ¯¯¯x=10010=10
Therefore,σ=1909=459
Therefore,σ=0.19=0.0105

Step deviation is less in factor1. Hence, it is more reliable.

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