20. A fertilizer mixing machine is set to give 12kg of nitrate for every
quintal bag of fertilizer. Ten 100 kg bags are examined. The percent-
age of nitrate are as follows. 11, 14, 13, 12, 13, 12, 13, 14, 11, 12 is there is reason to believe that the machine is defective
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Explanation:
Missing point in question: Is there any reason to believe that the machine is
defective?
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Answer:
If the probability of bags # 12 kg is > 5%, then there is every reason to believe that the machine is defective.
Out of 10 samples:- 11, 14, 13, 12, 13, 12, 13, 14, 11, 12 only 3, 12 kg bags are seen in sample. So probability of bags 12 kg = 70%
Now, the sample size was only 10 bags out of 100. So the probability when extended to 100 bags become = 1/10 x 70% = 7%
Since 7% > 5%, then there is every reason to believe that the machine is defective
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