SOLUTION: 5.)Managers at an automobile manufacturing plant would like to estimate the mean completion time of an assembly line operation, μ . The managers plan to choose a random sample of

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Question 1177048: 5.)Managers at an automobile manufacturing plant would like to estimate the mean completion time of an assembly line operation,
μ . The managers plan to choose a random sample of completion times and estimate μ via the sample. Assuming that the standard deviation of the population of completion times is 10.2 minutes, what is the minimum sample size needed for the managers to be
90% confident that their estimate is within 2.0minutes of μ?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
the standard deviation of the population of completion times is 10.2 minutes
to be 90% confident that their estimate is within 2.0minutes of μ:

ME =+z%2Asigma%2Fsqrt%28n%29   0r  +n+=+%28%28z%2Asigma%29%2FME%29%5E2

n = %28%281.645%2A10.2%29%2F2%29%5E2 = 70.384   0r 71 sample size (rounding up to nearest whole number)

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