In: Statistics and Probability
Construct the confidence interval for the population standard deviation for the given values. Round your answers to one decimal place.
n = 3, s = 7.1, and c = 0.98
Solution :
Given that,
s = 7.1
s2 = 50.41
2R
=
2
/2,df
= 9.210
2L
=
21 -
/2,df = 0.020
The 98% confidence interval for
is,
(n
- 1)s2 /
2
/2
<
<
(n - 1)s2 /
21 -
/2
(2)(50.41)
/ 9.210 <
<
(2)(50.41) / 0.020
3.3 <
< 70.8
(3.3 , 70.8)