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A random sample of n measurements was selected from a population with unknown mean mu and...

A random sample of n measurements was selected from a population with unknown mean mu and standard deviation sigmaequals30 for each of the situations in parts a through d. Calculate a 95​% confidence interval for mu for each of these situations.

a. nequals50​, x overbarequals22

b. nequals250​, x overbarequals108

c. nequals110​, x overbarequals17

d. nequals110​, x overbarequals4.25

e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through​ d? Explain.

a. ​(?​,?)

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