9.1.3 go tutorial 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 h0: μ=12 against h1: μ< 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 x¯< 11.5 kilograms? the type i error probability is enter your answer in accordance to the item a) of the question statement. (b) find β for the case where the true mean elongation is 11.28 kilograms. β=enter your answer in accordance to the item b) of the question statement (c) find β for the case where the true mean is 11.5 kilograms. β=enter your answer in accordance to the item c) of the question statement