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

Question

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 112, and the sample standard deviation, s, is found to be 10 (a) Construct an 80% confidence interval about if the sample size, n, is 22 (b) Construct an 80% confidence interval about if the sample size, n, is 14 (c) Construct a 70% confidence interval about if the sample size, n, is 22. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution (a) Construct an 80% confidence interval about if the sample size, n, is 22 Lower bound:Upper bound: (Use ascending order. Round to one decimal place as needed.)

Explanation / Answer

Standard error of the mean = SEM = S/N = 2.132

t(, N-1) = 1.721

Confidence interval = m +/- (t(, N-1)*SEM)

Mean = 112

Lower bound: 108.3

Upper bound: 115.7

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