How many observations would be needed to estimate the mean time for element 2 within 4 percent of its true value with a 95.5 percent confidence?

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2026-08-06 08:30

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To determine the number of observations needed to estimate the mean time for element 2 within 4 percent of its true value with 95.5 percent confidence, you would apply the formula for sample size: ( n = \left( \frac{Z \cdot \sigma}{E} \right)^2 ), where ( Z ) is the z-score corresponding to the desired confidence level (approximately 2 for 95.5%), ( \sigma ) is the estimated standard deviation, and ( E ) is the margin of error (in this case, 4 percent of the true mean). You would need an estimate of the standard deviation to calculate the exact sample size.

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