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KingBigness
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Not sure if this is where this question belongs because the course I am doing is predominately calculus based (Applied Physics, University level) but we have a small statistics component for obvious reasons.
Any who, sorry if it's in the wrong spot.
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 20 bags?
b)If the mean fill volume of the machine is 6.16 fluid ounces, what is the probability that the average fill volume of 20 bags is below 5.95 fluid ounces?
(c) What should the mean fill volume equal in order that the probability that the
average fill volume of 20 bags is below 6 ounces is 0.001?
For a) Finding the standard deviation of a set of numbers is pretty trivial but I have no idea how to find the average standard deviation from a standard deviation. Someone said we have to use a standard deviation table? If this is true where can I find such table?
The other questions I'm just not sure where to start.
Any help would be appreciated.
Thanks
Any who, sorry if it's in the wrong spot.
Homework Statement
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 20 bags?
b)If the mean fill volume of the machine is 6.16 fluid ounces, what is the probability that the average fill volume of 20 bags is below 5.95 fluid ounces?
(c) What should the mean fill volume equal in order that the probability that the
average fill volume of 20 bags is below 6 ounces is 0.001?
The Attempt at a Solution
For a) Finding the standard deviation of a set of numbers is pretty trivial but I have no idea how to find the average standard deviation from a standard deviation. Someone said we have to use a standard deviation table? If this is true where can I find such table?
The other questions I'm just not sure where to start.
Any help would be appreciated.
Thanks
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