Here is the question:
thetrue standard deviation of thickness is 1.5 millimeters, Thickness measurements in millimeters of 10specimens produced on a particular shift resulted in the following data: 226,228, 226, 225, 232, 228, 227, 229 225, 230. α=0.05 Dothe data substantiate the suspicion that the process variability exceeded thestated level on this particular shift?(Test at α=.05.)
suppose H0: σ<1.5 and H1: σ>=1.5; The rejection region is : { (n-1)S*S/σ*σ}>χ(square)(n-1),α
s=2.27 ; X(square){9,α=0.05}=16.9190
(n-1)S*S/σ*σ=9*2.27*2.27/1.5*1.5=20.612
I can infer 20.612>16.919 so fail to reject the null hypothesis.
However, I can not find any information about this kind of hypothesis using SAS, referring
σ and x square...often containing two samples
please help me guys, Thank you so much.




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