A textile fiber manufacturer is investigating a new drapery yarn, which has a standard deviation of 0.3 kg. The company wishes to test the hypothesis Hg: P= 14 against H;:

p < 14, using a random sample of 16 specimens. ) What is the P-value if the sample average is 13.7 kg? Round your answer to 2 decimal places. P) Find B for the case where the true mean elongation force is 13.5 kg and we assume that o = 0.05. Round your intermediate answer to 2 decimal places. Round your final answer to 2 decimal places (c) What is the power of the test from part (b)? Round your answer to 2 decimal places.