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...

Extracted text: 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 Họ : 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="" i="">< 11.5="" kilograms?="" the="" type="" i="" error="" probability="" is="" (b)="" find="" b="" for="" the="" case="" where="" the="" true="" mean="" elongation="" is="" 11.24="" kilograms.="" (c)="" find="" b="" for="" the="" case="" where="" the="" true="" mean="" is="" 11.5="">