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ariannapenny98
20.03.2021 •
Mathematics
The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees reveals the following family dental expenses (in dollars): 115, 370, 250, 593, 540, 225, 177, 425, 318, 182, 275, and 228.
a.Construct a 90% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.
b.
Construct a 95% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.
c. Construct a 99% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation
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Ответ:
Solution :
a). Given :
a =
,
chisquare with the
,
Chisquare with the
, df =
is
(from chisquare table)
So 90% Cl is
b). Given :
a =![$0.05$](/tpl/images/1208/5889/49a40.png)
Chisquare with![$0.025$](/tpl/images/1208/5889/f42ee.png)
df =
is A, ![$3.82$](/tpl/images/1208/5889/f4e20.png)
Chisquare with
, df = 11 is ![$21.92$](/tpl/images/1208/5889/f3978.png)
So, 95% Cl is
c). Given a =
, chisquare with
, df =
is ![$2.6$](/tpl/images/1208/5889/232f6.png)
Chisquare with
, df =
is ![$26.76$](/tpl/images/1208/5889/a8b54.png)
So 99% CI is
Ответ:
25 out of 100 in the other boxthats 25%
so u have 125% that is shaded