## Question

# a) If you were constructing a 95% confidence interval of the population mean based on a sample of n=60 where the standard deviation of the

a) If you were constructing a 95% confidence interval of the population mean based on a sample of n=60 where the standard deviation of the sample s = 0.06, what is the critical value of t that you should use? Explain/show how you obtain your answer.

b) In your question above, what is your margin of error? What would it be if you were constructing a 99% confidence interval?

c) Consider the following two scenarios. (A) The simple random sample of 60 was taken from sophomore undergraduate students at your college. If the simple random sample of 60 was taken from a general population of young women instead, would you expect s to be the same? Which sample should have the smaller margin of error? Explain your answer.

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