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Statistics - Confidence Interval

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The operations manager of a large production plant would like to estimate the average amount of time workers take to assemble a new electronic component. After observing a number of workers assembling similar devices, she guessed that the standard deviation is 6 minutes. How large a sample of workers should she take if she wishes to estimate the mean assembly time to within 20 seconds? Assume that the confidence level is to be 99%.

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The expert examines the confidence intervals for a production plant. Neat, step-by-step solution is provided.

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The difference is just 2 numbers, and has come due to rounding off. I have taken the margin of error as ...

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