Question: Assume that we are sampling from a Normal population with unknown mean and known variance (equal to 1.5625), and will build a (1- alpha)*100% confidence

Assume that we are sampling from a Normal population with unknown mean and known variance (equal to 1.5625), and will build a (1- alpha)*100% confidence interval for the unknown mean.

a) Derive the formula for n as a function of the margin of error (ME). That is, for a fixed ME, your function should give the minimum sample size needed to obtain a confidence interval with a ME no larger than specified.

b) For alpha = 0.05, what is the minimum sample size need to be in order to produce a confidence interval with a margin of error of 0.25?

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