In: Statistics and Probability
A sample standard deviation and sample size are given. Use the one-standard-deviation χ2-interval procedure to obtain the specified confidence interval. s = 4, n = 11 , 95% confidence interval a) 2.795 to 3.51 b) 0.618 to 3.896 c) 2.956 to 6.373 d) 2.795 to 7.02
Solution :
Given that,
s = 4
s2 = 16
2L
=
2
/2,df
= 20.483
2R
=
21 -
/2,df = 3.247
The 95% confidence interval for
is,
(n
- 1)s2 /
2
/2
<
<
(n - 1)s2 /
21 -
/2
10
* 16 / 20.483 <
<
10 * 16 / 3.247
2.795 <
< 7.02
2.795 to 7.02
d)