# ​In constructing a confidence interval 15

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In constructing a confidence interval for σ or

σ2, a table is used to find the critical values Χ2Land Χ2R for values of n ≤ 101. For larger values of n,Χ2L and Χ2R  can be approximated by using the following formula: Χ2=12[±zα/2+2k−1]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 n = 234 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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