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1. The variance of a sample of size = 20 drawn from a normal population with mean 100 was obtained as s2 = 9.5. At the α = 0.05 signi?cance level, test the hypothesis that the true population variance is 10.

2. Refer to the data in Exercise 15.20. A logarithmic transformation of the data is postulated to yield Y1 and Y2, random samples from normal populations with respective postulated means 0 and 0.25, and postulated equal standard deviation 0.25.  Is  there  evidence  in  the  log-transformed  data  to  support  the  hypothesis that σY1  = 0.25, and the hypothesis that σY2  = 0.25?

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