In each of the following, assume we've collected data about X, a normal random variable with known s


Question: In each of the following, assume we've collected data about X, a normal random variable with known standard deviation σ.

a. If the sample size increases, will the width of a 95% confidence interval for μ become larger or smaller?

b. Will a 99 % confidence interval for μ have a larger or smaller width than a 95% confidence interval for μ (both intervals calculated with same data)?

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