A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho:H = 12 against H:u < 12, using a random sample of 4 specimens. Round your answers to 4 decimal places. (a) What is the type I error probability if the critical region is defined as < 11.5 kilograms? The type I error probability is (b) Find B for the case where the true mean elongation is 11.22 kilograms. (c) Find B for the case where the true mean is 11.5 kilograms. i Statictical Tables and Charts

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