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...

6A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12<br>kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho:H = 12 against H:u < 12,<br>using a random sample of 4 specimens.<br>Round your answers to 4 decimal places.<br>(a) What is the type I error probability if the critical region is defined as T < 11.5 kilograms?<br>The type I error probability is<br>i<br>(b) Find ß for the case where the true mean elongation is 11.22 kilograms.<br>(c) Find B for the case where the true mean is 11.5 kilograms.<br>B =<br>Statictical Tahles and Charts<br>

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 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="" t="">< 11.5="" kilograms?="" the="" type="" i="" error="" probability="" is="" i="" (b)="" find="" ß="" 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.="" b="Statictical" tahles="" and="">

Jun 08, 2022
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