Question

Julio works as a quality control expert in a beverage factory. The assembly line that he monitors produces about 20,000 bottles in a 24-hour period. Julio samples about 120 bottles an hour and rejects the line ifhe finds more than 1/50 of the sample to be defective. About how many defective bottles should Julio allow before rejecting the entire line?


if i take the 20,000 x by 1/50 i get 400 bottles or do i need to take the 120 that is done hourly and
120 x 1/50= 2 2/5. Please explain to me if I am doing this wrong

I read this problem as he rejects the line, whatever that line is. It is not explicit what he rejects.

In a sample, as you figured, 2.4 is 1/50 of the sample 120. So he accepts the "line" if two or less is defective, and he rejects the "line" if three or more is defective.

Answer 1

Julio works as a quality control expert in a beverage factory. The assembly line that he monitors produces about 20,000 bottles in a 24-hour period. Julio samples about 120 bottles an hour and rejects the line if he finds more than 1/50 of the sample to be defective. About how many defective bottles should Julio allow before rejecting the entire line?