Question: A simple random sample of size n is drawn from a population that is normally distributed. The samplemean, x, is found to be 105, and

A simple random sample of size n is drawn from a population that is normally distributed. The samplemean, x, is found to be 105, and the sample standarddeviation, s, is found to be 10.

(a) Construct a 95% confidence interval about if the samplesize, n, is 16. lower bound and upper bound

(b) Construct a 95% confidence interval about if the samplesize, n, is 29.

(c) Construct a 99% confidence interval about if the samplesize, n, is 16.

(d) Could we have computed the confidence intervals in parts(a)-(c) if the population had not been normallydistributed?

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