In: Statistics and Probability
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar x , is found to be 112 112 , and the sample standard deviation, s, is found to be 10 10. (a) Construct a a 96 96 % confidence interval about mu μ if the sample size, n, is 20 20. (b) Construct a a 96 96 % confidence interval about mu μ if the sample size, n, is 13 13. (c) Construct a a 90 90 % confidence interval about mu μ if the sample size, n, is 20 20. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?