A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar , is found to be 106 , and the sample standard deviation, s, is found to be 10 . (a) Construct a 96 % confidence interval about mu if the sample size, n, is 20 . (b) Construct a 96 % confidence interval about mu if the sample size, n, is 13 . (c) Construct a 70 % confidence interval about mu if the sample size, n, is 20 . (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
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