A textile mill company is investigating a new drapery yarn, which the company claims have a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho: µ = 12 against H1: µ ± 12, using a random sample of four specimens. - v What is the type I error probability if the acceptance region is 11.4 < is 12.6 ? a. Fail to reject Ho. The mean thread elongation is equal to 12 kilograms, per significance level of 0.05 and 4 specimens collected b. B = 0.6554 - v If a = 0.05, would we need to reject the Ho? c. Reject Ho. The mean thread elongation is not 12 kilograms d.n 2 4 specimens · v Find ß for the case in which the true mean elongation is 12.70 kilograms e. P(Type II Error) = 0.34 f. P(Type I error) = 0.0164 . v Find n if the company wishes to detect that the mean thread elongation is not equal to 12 kilograms at least 80% of the time g. Cannot determine choice of sample size h. P(Type I Error) = 0.0082

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