3. [4 points] For the following scenarios, set up Ho and Ha (a) A random sample

Question

3. [4 points] For the following scenarios, set up Ho and Ha (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.

Explanation / Answer

Solution(a)

This is a right tailed test
so Null hypothesis H0: <= 12% or 0.12
Alternate hypothesis H1 : >12% or 0.12

Solution(b)
This is also one and right tailed test
So null hypothesis H0: 9Kilograms
Alternate hypothsis H1: >9kilograms

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