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 )