Question

A fertilizer machine is set to give 12 kg of nitrate for every quintal bag of fertilizer ten 100 kg bags are examined the percentage of nitrate are as follows 11,14,13,12,13,12,13,14,11,12
Is there any reason to believe that the machine is defective? (Use 5%level of significance)

Answer 1

Answer:

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Answer 2

Explanation:

Missing point in question :- Is there any reason to believe that the machine is

defective?

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