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2. The manufacturing manager of a garment factory needs to determine if new machinery is producing...

2. The manufacturing manager of a garment factory needs to determine if new machinery is producing a particular type of fabric with the manufacturer's specifications that the 'breaking strength' must be 70 pounds and its standard deviation. 3.5 pounds. One of our 49 pieces of fabric yields an average of “breaking strength” for the 69.1 pound sample.

a.Establish the null and alternate hypothesis.

b. Set critical values ​​and explain errors that can occur.

c. Is there evidence that the owner's claim is valid? (use a 0.05% confidence level)

d. What would be your answer to (c) if the standard deviation were 1.75?

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