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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