In: Statistics and Probability
Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard deviation sigma. Assume the sample is taken from a normally distributed population. cequals0.95, sequals34, nequals15
Solution :
Given that,
s = 34
s2 = 1156
2L
=
2
/2,df
= 26.119
2R
=
21 -
/2,df = 5.629
The 95% confidence interval for
is,
(n
- 1)s2 /
2
/2
<
<
(n - 1)s2 /
21 -
/2
14
* 1156 / 26.119 <
<
14 * 1156 / 5.629
24.89 <
< 53.62
(24.89 , 53.62)