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In: Statistics and Probability

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, x , is found to be 111​, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 98​% confidence interval about mu if the sample​ size, n, is 16. ​(b) Construct a 98​% confidence interval about mu if the sample​ size, n, is 26. ​(c) Construct a 99​% confidence interval about mu if the sample​ size, n, is 16. ​(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed?

Solutions

Expert Solution

(a)

(b)

(c)

(d) No, because sample sizes are less than 30.


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