3. For the following scenarios, describe what the mean represents, and set up Ho

Question

3. For the following scenarios, describe what the mean represents, and set up Ho and Ha related to (ie. 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%? 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. b.

Explanation / Answer

SolutionA:

mean repreents population mean absorbency

Ho:=12%

Ha:>12%

Alternative Hypothesis is our claim

Its a right tail t test

Solutionb:

represenst true population mean breaking strength

Ho:<=9

Ha:>=9

Alternative Hypothesis is claim to be tested by hypothesis testing

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