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Determine the sample size needed to obtain an estimate of µ if the margin of error E = 0.11, σ = 0.95, and the confidence level is 99% (use z_{0.005} = 2.57).
Alternatively, To obtain z from a graphing calculator, we use the formula z = invNorm(1 - α/2, µ, σ) where µ is the mean and σ is the standard deviation of the normal distribution. For the standard normal distribution µ = 0 and σ = 1. Recall that in general z = invNorm("area to left of z", µ, σ).
It is given that E = 0.11 and σ = 0.95.
(a) Find α for 99% confidence level.
α =
(b) Find 1 - α/2.
1 - α/2 =
(c) Find z_{α/2} for a 99% confidence level.
z_{α/2} =
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