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In constructing a confidence interval for σ or σ2, a
table is used to find the critical values and for values
of n ≤ 101. For larger values of n, and can be
approximated by using the following formula: χ2
= [± zα/2 + ]2 where k
is the number of degrees of freedom and zα/2 is the
critical z score. Construct the 90% confidence interval for σ using
the following sample data: a sample of size yields a
mean weight of 155 lb and a standard deviation of 26.0 lb. Round
the confidence interval limits to the nearest hundredth.
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