In: Statistics and Probability
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar, is found to be 109, 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 18.
(b) Construct a 98% confidence interval about mu if the sample size, n, is 25.
(c) Construct a 99% confidence interval about mu if the sample size, n, is 18.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Refer t-table or use excel function "=T.INV.2T(0.02,17)" to find the value of t.
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Refer t-table or use excel function "=T.INV.2T(0.02,24)" to find the value of t.
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Refer t-table or use excel function "=T.INV.2T(0.01,17)" to find the value of t.
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