Question
In: Statistics and Probability
Find the 80% confidence interval for the standard deviation of the ages of seniors at Oak...
Find the 80% confidence interval for the standard deviation of the ages of seniors at Oak Park College if a random sample of 21 students has a standard deviation of 2.3 years. Assume the variable is normally distributed.
Solutions
Expert Solution
Solution :
Given that,
s = 2.3
s2 = 5.29
2R
=
2
/2,df
= 28.412
2L
=
21 -
/2,df = 12.443
The 80% confidence interval for 
is,
(n
- 1)s2 /
2/2
<
<
(n - 1)s2 /
21 -
/2
(20)(5.29)
/ 28.412 <
<
(20)(5.29) / 12.443
1.93 <
< 2.92
(1.93 ,2.92)
orchestra answered 3 years agoRelated Solutions
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