Question

A fertilizer machine is set to give 12kg of nitrate for every quintal bag of fertilizer. Ten100 log bags are examined. The percentages of nitrate are as follows:11, 14, 13, 12, 13, 12, 13, 14, 11, 12​ is there any reason of believe that the machine is defective? Value of t for 9 degrees of the freedom is 2.262.

Answer 1

Answer:

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Step-by-step explanation:

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, 1413121312 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