Question

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

115115​,

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

1010.

​(a) Construct

aa

9595​%

confidence interval about

muμ

if the sample​ size, n, is

1717.

​(b) Construct

aa

9595​%

confidence interval about

muμ

if the sample​ size, n, is

2828.

​(c) Construct

aa

9999​%

confidence interval about

muμ

if the sample​ size, n, is

1717.

​(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

9595​%

confidence interval about

muμ

if the sample​ size, n, is

1717.

Lower​ bound:

nothing​;

Upper​ bound: nothing

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

Answer 1

Refer t-table or use excel function "=T.INV.2T(0.05,16)" to find the value of t.

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Refer t-table or use excel function "=T.INV.2T(0.05,27)" to find the value of t.

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Refer t-table or use excel function "=T.INV.2T(0.01,16)" to find the value of t.

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