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 110, and the sample standard deviation, s, is found to be 10.
(a) Construct a 96% confidence interval about μ if the sample size, n, is 29.
(b) Construct a 96% confidence interval about μ if the sample size, n, is 13.
(c) Construct a 95% confidence interval about μ if the sample size, n, is 29.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?