SOLUTION: By measuring the amount of time it takes a component of a product to move from one workstation to the next, an engineer has estimated that the standard deviation is 3.5 seconds.

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Question 324662: By measuring the amount of time it takes a component of a product to move from one workstation to the next, an engineer has estimated that the standard deviation is 3.5 seconds.
Answer each of the following (show all work):
(A) How many measurements should be made in order to be 99% certain that the maximum error of estimation will not exceed 1 second?

(B) What sample size is required for a maximum error of 2 seconds?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
By measuring the amount of time it takes a component of a product to move from one workstation to the next, an engineer has estimated that the standard deviation is 3.5 seconds.
Answer each of the following (show all work):
(A) How many measurements should be made in order to be 99% certain that the maximum error of estimation will not exceed 1 second?
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n = [zs/E]^2
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n = [2.5758*3.5/1]^2 = 82 when rounded up
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(B) What sample size is required for a maximum error of 2 seconds?
n = [2.5758*3.5/2]^2 = 21 when rounded up
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Cheers,
Stan H.