Question: a. A random sample of 100 observations was randomly drawn from a population with a standard deviation of 5. The sample mean was calculated as

a. A random sample of 100 observations was randomly drawn from a population with a standard deviation of 5. The sample mean was calculated as x̄ = 400. Estimate the population mean with 99% confidence.

b. Repeat part (a) with x̄ = 200.

c. Repeat part (a) with x̄ = 100.

d. Describe what happens to the width of the confidence interval estimate when the sample means decreases.

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