Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of...
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, normal random variables with a standard deviation of 0.08 fluid ounces.
(a)What is the standard deviation of the average
fill volume of 23 bags?
(b)The mean fill volume of the machine is 6.16
ounces, what is the probability that the average fill volume of 23
bags is below 5.95 ounces?
(c)What should the mean fill volume equal in order
that the probability that the average of 23 bags is below 6.2
ounces is 0.001?
Homework Answers
(a). The standard deviation of the average fill volume of 23 bags is given by,
(b). We find the z-score first, then obtain the p-value for that z-score. The z-score formula is given as follows
(c). z-score required is -3.1
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