SOLUTION: Can someone plz help with this question 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 t

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Question 266122: Can someone plz help with this question
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 4.0 seconds.
Answer each of the following (show all work):
(A) How many measurements should be made in order to be 95% 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?
thanks for your help!!!!!!!!!!!!!!!!!!!!
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 4.0 seconds.
Answer each of the following (show all work):
(A) How many measurements should be made in order to be 95% certain that the maximum error of estimation will not exceed 1 second?
n = [1.96*4/1]^2 = 61.47
Round up to n = 62
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(B) What sample size is required for a maximum error of 2 seconds?
thanks for your help!!!!!!!!!!!!!!!!!!!!
n = [1.96*4/2]^2 = 15.37
Round up to n = 16
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Cheers,
Stan H.