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A random sample of 8 observations was drawn from a normal population. The sample mean and

sample standard deviation are X = 40 and s = 10.
a) Estimate the population mean with 95% confidence.
b) Repeat part (a) assuming that you know that the population standard deviation is  = 10.
c) Explain why the interval estimate produced in part (b) is narrower than that in part (a).

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