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, is found to be 108, 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 22. (b) Construct a 96% confidence interval about mu if the sample size, n, is 27. (c) Construct a 98% confidence interval about mu if the sample size, n, is 22. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?