A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 106, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about if the sample size, n, is 22.
(b) Construct an 80% confidence interval about if the sample size, n, is 16.
(c) Construct a 70% confidence interval about 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?
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