A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, overbar x, is found to be 115, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about μ if the sample size, n, is 20. (b) Construct a 98% confidence interval about μ if the sample size, n, is 25. (c) Construct a 99% confidence interval about μ if the sample size, n, is 20. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
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