In: Statistics and Probability
Use the given information to find the number of degrees of freedom, the critical values chi Subscript Upper L Superscript 2 and chi Subscript Upper R Superscript 2, and the confidence interval estimate of sigma. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. Platelet Counts of Women 90% confidence; n=22, s=65.8.
Solution :
Given that,
s = 65.8
n = 22
df = 21
2R
=
2
/2,df
= 32.671
2L
=
21 -
/2,df = 11.591
The 90% confidence interval for
is,
(n
- 1)s2 /
2
/2
<
<
(n - 1)s2 /
21 -
/2
21
* 65.8 2 / 32.671 <
<
21 * 65.8 2 / 11.591
52.7542 <
< 88.5665
(52.7542 , 88.5665 )