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 110, and the sample standard deviation, s, is found to be 10.
(a) Construct an 80% confidence interval about mu if the sample size, n, is 29.
(b) Construct an 80% confidence interval about mu if the sample size, n, is 21.
(c) Construct a 70% confidence interval about mu 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?
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