let u denote the true average nicotine content of brand B cigarettes. The
objective is to test Ho: M = 1.5 versus Hu> 1.5 based on a random sampe
X, X2, . . . , X32 of nicotine content. Suppose the distribution of nicotine content is
known to be normal with o = .20. Then X is normally distributed with mean value
Rather than use X itself as the test statistic, let's standardize X, assuming that
My = u and standard deviation og = .20/V32 = .0354.
H, is true.
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