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A simple random sample of size n is drawn from a population that is normally distributed....

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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