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 3.92 seconds.

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Question 492305: 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 3.92 seconds.
Answer each of the following (show all work):
(A) How many measurements should be made in order to be 90% certain that the maximum error of estimation will not exceed 2.0 seconds?
(B) What sample size is required for a maximum error of 1.5 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 3.92 seconds.
Answer each of the following (show all work):
(A) How many measurements should be made in order to be 90% certain that the maximum error of estimation will not exceed 2.0 seconds?
---
n = [z*s/E]^2
--
n = [1.645*3.92/2]^2
---
n = 11 when rounded up
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(B) What sample size is required for a maximum error of 1.5 seconds?
n = [1.645*3.92/1.5]^2
n = 19 when rounded up
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Cheers,
Stan H.