Can anyone help me with a word problem?
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?
Any help will be appreciated.
Favorite Answer
Therefore, 2 defective bottles are OK; 3 defects will exceed the 2% and require a line stop.
Divide 120 by 50 and increase that to the next greater whole number.
hours of assembly = 24
120 bottles an hour * hours of assembly = number of sampled bottles for the whole line
(1/50)(number of sampled bottles) = number of bottles needed to reject the whole line
if you solve all that, you’ll get 57.6, or 58.
1/50=x/120
x=2.4
so it has to be more than
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