For the following scenarios, • describe what the mean represents, and • set up H0 and Ha related to (i.e. What hypotheses would you test to assess the specification/claim/belief?) Do not perform the hypothesis tests. a. A random sample of 30 pieces of acetate fiber has a sample mean absorbency of 15% with a sample standard deviation of 1.5%. Is there strong evidence that this fiber has a true mean absorbency of more than 12%? b. A manufacturer of a synthetic fishing line claims that its product has a mean breaking strength of at least 9 kilograms. A random sample of n=20 fishing line specimens yields a sample average strength of 8.5 kilograms with sample standard deviation of 0.65 kilogram.