You randomly select and weigh 23samples of an allergy medication. The sample standard deviation is 1.56milligrams....

You randomly select and weigh 23samples of an allergy medication. The sample standard deviation is 1.56milligrams. Assuming the weights are normally distributed, construct 95% confidence intervals for the population variance and standard deviation.Please interpret your result.

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Expert Solution

Solution :

Given that,

n = 23

df = 22

²_R = ²_/2,df = 36.781

²_L = ²_{1 -} _/2,df = 10.982

The 95% confidence interval for ² is,

(n - 1)s² / ²_/2 < ² < (n - 1)s² / ²_{1 -} _/2

22 * 1.56² / 36.781 < ² < 22 * 1.56² / 10.982

1.2065 < ² < 2.2079

(1.2065 , 2.2079 , )

orchestra answered 1 year ago

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