The following sample of weights was taken from 9 cans of soda off the assembly line....

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Statistics

The following sample of weights was taken from 9 cans of sodaoff the assembly line. Construct the 80% confidence interval forthe population standard deviation for all cans of soda that comeoff the assembly line. Round your answers to two decimal places.14.5,14.7,14.3,14.3,14.6,15.1,15.3,15.1,14.4

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s = âˆš(Î£(X- xÌ… )Â²/(n-1) ) =0.3775
n=Â Â 9
Confidence level=Â Â 0.80

Degrees of Freedom,Â Â DF=n-1 = Â Â 8
alpha,Â Â Î±=1-CL=Â Â 0.2
alpha/2 ,Â Â Î±/2=Â Â 0.1
Lower Chi-Square Value=Â Â Ï‡Â²_1-Î±/2 =Â Â 3.4895
Upper Chi-Square Value=Â Â Ï‡Â²_Î±/2 =Â Â 13.3616

confidence interval for variance isÂ Â Â Â Â
lower bound=Â Â (n-1)sÂ²/Ï‡Â²_Î±/2 =Â Â 0.09
Â Â Â Â Â
Â Â Â Â Â
upper bound=Â Â (n-1)sÂ²/Ï‡Â²_1-Î±/2 =Â Â 0.33
Â Â Â Â Â

confidence interval for std dev is Â Â Â Â Â
lower bound=Â Â âˆš(lower bound variance)=Â Â 0.29
Â Â Â Â Â
Â Â Â Â Â
upper bound=Â Â âˆš(upper bound of variance=Â Â 0.57
Â Â Â Â Â

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