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 sigma=30 for each of the situations in parts a through d. Calculate a 90% confidence interval for mu for each of these situations.
a. n=60, overbar x= 27
b. n=250, overbar x=113
c. n=80, overbar x= 13
d. n=80, overbar x= 4.56
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.
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