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A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a...

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  against , using a random sample of four specimens. (Note: the difference between the computations for the two-sided alternative hypothesis shown in the video and this one-sided hypothesis is that you don't multiply by 2 to allow for the symmetry.) What is the type I error probability if the critical region is defined as  kilograms? Round your answer to four decimal places.

Using the same setup as the previous problem, find  for the case in which the true mean elongation is 11.25 kilograms. Round your answer to four decimal places.

Math   Statistics-And-Probability   
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