In: Statistics and Probability
The random sample (3,5,6,8,9,11) is selected from a normal population. Construct a 90% confidence interval estimate for the sample standard deviation.
| Values ( X ) | 
![]()  | 
|
| 3 | 16 | |
| 5 | 4 | |
| 6 | 1 | |
| 8 | 1 | |
| 9 | 4 | |
| 11 | 16 | |
| Total | 42 | 42 | 
Mean 
Standard deviation 


n = 6
Lower Limit = 
Upper Limit = 
90% Confidence interval is ( 3.7939 , 36.6656 )
( 3.7939 < 
 < 36.6656
)
For sample standard deviation
( 1.9478 < 
 < 6.0552
)