A simple random sample from a population with a normal distribution of
107107
body temperatures has
x overbarxequals=98.3098.30degrees Upper F°F
and
sequals=0.680.68degrees Upper F°F.
Construct
aa
9999%
confidence interval estimate of the standard deviation of body temperature of all healthy humans.
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Chi square critical values at 0.01 level with 106 df =
L = 72.251 ,
R = 147.247
99% confidence interval for
is
sqrt [
- t * S /
R] <
< sqrt [
+ t * S /
L]
sqrt [ 106 * 0.682 / 147.247] <
< sqrt [ 106 * 0.682 / 72.251 ]
0.5770 <
< 0.8236
99% CI is ( 0.5770 , 0.8236)
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