Question: a. A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80. Determine the

a. A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80. Determine the 95% confidence interval estimate of the population mean.

b. Repeat part (a) with a sample size of 100.

c. Repeat part (a) with a sample size of 400.

d. Describe what happens to the confidence interval estimate when the sample size increases.

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