A simple random sample of size n is drawn from a population thatis normally distributed. The sample? mean, x overbar?, is found tobe 110?, and the sample standard? deviation, s, is found to be 10.?(a) Construct an 80?% confidence interval about mu if the sample?size, n, is 28. ?(b) Construct an 80?% confidence interval about muif the sample? size, n, is 13. ?(c) Construct a 70?% confidenceinterval about mu if the sample? size, n, is 28. ?(d) Could we havecomputed the confidence intervals in parts? (a)-(c) if thepopulation had not been normally? distributed?
