The diameters​ (in inches) of 17randomly selected bolts produced by a machine are listed. Use a 90​% level of confidence to construct a confidence interval for ​(a) the population variance σ2 and ​(b) the population standard deviation σ. Interpret the results. 4.473 4.431 4.007 4.326 4.008 3.758 3.828 3.766 4.246 3.933 4.128 4.551 3.968 3.759 3.886 3.836 4.468 ​(a) The confidence interval for the population variance is ​(Round to three decimal places as​ needed.)

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The diameters​ (in inches) of 17randomly selected bolts produced by a machine are listed. Use a 90​% level of confidence to construct a confidence interval for ​(a) the population variance σ2 and ​(b) the population standard deviation σ.
Interpret the results.
 
4.473
4.431
4.007
4.326
4.008
3.758
 
3.828
3.766
4.246
3.933
4.128
4.551
 
3.968
3.759
3.886
3.836
4.468
 
 
​(a) The confidence interval for the population variance is
 
​(Round to three decimal places as​ needed.)
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