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 3.33 seconds.

Algebra ->  Probability-and-statistics -> 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 3.33 seconds.       Log On


   

Question 633818: 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 3.33 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 1.0 seconds?

(B) What sample size is required for a maximum error of 0.5 seconds?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

standard deviation is 3.33 seconds. 

A) 1+=+1.645%28%283.33%29%2Fsqrt%28n%29%29

    +n+=+%281.645%2A3.33%29%5E2

B) .5+=+1.645%283.33%29%2Fsqrt%28n%29

    +n+=+%28%281.645%2A3.33%29%2F.5%29%5E2

 solve for n, rounding up