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A student randomly selects 10 CDs at a store. The mean
is 8:75 dollars with a standard deviation of 1:50: Construct a 95% con-
?dence interval for the population standard deviation, . Assume the
data are normally distributed
Solution
(n-1)s2/(Xu2) < 2 < (n-1)s2/(XL2)
Look up the chi square values from the tables
X0.9752 With n-1=9 degrees freedom = 2.7
X0.0252 With n-1=9 degrees freedom = 19.023
s2=1.52=2.25
9*2.25/19.023 < 2 < 9*2.25/2.7
1.0645 < 2 < 7.5
1.03 < < 2.74

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A student randomly selects 10 CDs at a store. The mean is 875 dol.pdf

  • 1. A student randomly selects 10 CDs at a store. The mean is 8:75 dollars with a standard deviation of 1:50: Construct a 95% con- ?dence interval for the population standard deviation, . Assume the data are normally distributed Solution (n-1)s2/(Xu2) < 2 < (n-1)s2/(XL2) Look up the chi square values from the tables X0.9752 With n-1=9 degrees freedom = 2.7 X0.0252 With n-1=9 degrees freedom = 19.023 s2=1.52=2.25 9*2.25/19.023 < 2 < 9*2.25/2.7 1.0645 < 2 < 7.5 1.03 < < 2.74