In: Statistics and Probability
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x , is found to be 111, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about mu if the sample size, n, is 16. (b) Construct a 98% confidence interval about mu if the sample size, n, is 26. (c) Construct a 99% confidence interval about mu if the sample size, n, is 16. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?