In: Statistics and Probability
suppose that a garage samples 20 customer they find that the standard deviation is 1234. Find a 90% confidence interval of true standard deviation. Which formula wold you use for X2 Left & X2 Right.
Solution :
Given that,
s = 1234
df = 19
Using chi square table,
2R
=
2
/2,df
= 30.144
2L
=
21 -
/2,df = 10.117
The 90% confidence interval for
is,
(n
- 1)s2 /
2
/2
<
<
(n - 1)s2 /
21 -
/2
19
* 12342 / 30.144 <
<
19 * 12342 / 10.117
979.7041 <
< 1691.0864
(979.7041 , 1691.0864)