Question: A simple random sample of n=25provided a sample mean x = 14and a sample standard deviation s = 4.32. Assume that the population is normally

A simple random sample of n=25provided a sample mean x = 14and a sample standard deviation s = 4.32. Assume that the population is normally distributed.

a.What is the margin of error for a 95% confidence interval for the population mean?

b.Construct a 95% confidence interval for the population mean.

c.Construct a 90% confidence interval for the population mean.

d.Construct an 82% confidence interval for the population mean. Hint: you need to use Excel function =t.inv.2t to find the value of t for the interval calculation.

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