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 overbarx​,

is found to be

110110​,

and the sample standard​ deviation, s, is found to be

1010.

​(a) Construct

aa

9090​%

confidence interval about

muμ

if the sample​ size, n, is

2727.

​(b) Construct

aa

9090​%

confidence interval about

muμ

if the sample​ size, n, is

1919.

​(c) Construct

aa

7070​%

confidence interval about

muμ

if the sample​ size, n, is

2727.

​(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed?

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Click the icon to view the table of areas under the​ t-distribution.

​(a) Construct

aa

9090​%

confidence interval about

muμ

if the sample​ size, n, is

2727.

Lower​ bound:

nothing​;

Upper​ bound: nothing

​(Use ascending order. Round to one decimal place as​ needed.)

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