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 21 bags? Round your answer to four decimal places. Ox (b) The mean fill volume of the machine is 6.16 ounces. What is the probability that the average fill volume of 21 bags is below 5.95 ounces? Round your answer to two decimal places. i (c) What should the mean fill volume equal in order that the probability that the average of 21 bags is below 6.0 ounces is 0.001? Round your answer to two decimal places. μ = i

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 58CR
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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 21 bags?
Round your answer to four decimal places.
0x =
(b) The mean fill volume of the machine is 6.16 ounces. What is the probability that the average fill volume of 21 bags is below 5.95
ounces?
Round your answer to two decimal places.
i
(c) What should the mean fill volume equal in order that the probability that the average of 21 bags is below 6.0 ounces is 0.001?
Round your answer to two decimal places.
μ= i
Transcribed Image Text: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 21 bags? Round your answer to four decimal places. 0x = (b) The mean fill volume of the machine is 6.16 ounces. What is the probability that the average fill volume of 21 bags is below 5.95 ounces? Round your answer to two decimal places. i (c) What should the mean fill volume equal in order that the probability that the average of 21 bags is below 6.0 ounces is 0.001? Round your answer to two decimal places. μ= i
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