Question
In: Statistics and Probability
Use the given information to find the number of degrees of freedom, the critical values chi...
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=23, s=65.2.
Can you please simplify the solution so i can do the rest on my own.
Thank you!
Solutions
Expert Solution
Solution :
Given that,
s = 65.2
s2 = 4251.04
n = 23
df = 23 - 1= 22
2L
=
2
/2,df
= 33.924
2R
=
21 -
/2,df = 12.338
The 90% confidence interval for 
is,
(n
- 1)s2 /
2/2
<
<
(n - 1)s2 /
21 -
/2
22
* 4251.04 / <
<
22 * 4251.04 /
52.5053 <
< 87.0636
(52.5053 , 87.0636)
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