Assume a normal distribution with a known population variance. Calculate the margin of error to estimate the population mean, μ, for the following: a. 98% confidence level; n = 64; σ^2 = 144 b. 99% confidence level; n = 120; σ = 100
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Step 1
The margin of error (ME) formula for a normal distribution with known population variance is: ME = Z * (σ / √n) where Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size. Show more…
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Assume a normal distribution with known population variance. Calculate the width to estimate the population mean, $\mu$, for the following. a. $90 \%$ confidence level; $n=100 ; \sigma^{2}=169$ b. $95 \%$ confidence level; $n=120 ; \sigma=25$
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