Question

A fertilizer machine is set to give 12kg of nitrate for every quintal bag of fertilizer. Ten
100 log bags are examined. The percentages of nitrate are as follows:
11, 14, 13, 12, 13, 12, 13, 14, 11, 12​

Answer 1

Answer:

Step-by-step 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