Question

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 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?

Solutions

Expert Solution

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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