In: Statistics and Probability
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean,x overbarx, is found to be 115,and the sample standard deviation, s, is found to be 10.
(a) Construct a 95% confidence interval about μ if the sample size, n, is 23.
(b) Construct a 95% confidence interval about μ if the sample size, n, is 18.
(c) Construct a 70% confidence interval about μ if the sample size, n, is 23.
(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 95% confidence interval aboutμ if the sample size, n, is 23.
Lower bound: Upper bound: