A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 105, and the sample standard deviation, s, is found to be 10.
(a) Construct a 96% confidence interval about u if the sample size, n, is 13.
(b) Construct a 96% confidence interval about u if the sample size, n, is 28.
(c) Construct a 99% confidence interval about u if the sample size, n, is 13.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
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(a) Construct a 96% confidence interval about u if the sample size, n, is 13.
Lower bound:
Upper bound:
(Use ascending order. Round to one decimal place as needed.)