[Step-by-Step] The diameter of aluminum alloy rods produced on an extrusion machine is known to have a variance of 0.09 inch 2 . The quality engineer suspects
Question: The diameter of aluminum alloy rods produced on an extrusion machine is known to have a variance of 0.09 inch 2 . The quality engineer suspects that the mean rod diameter is less than 5.0 inch, and he collects a random sample of 36 rods which has an average diameter of 4.8 inch.
- Test the hypothesis that the mean rod diameter is less than 5.0 inch at significance level of 0.05. (8 points)
- Find the p-value for this hypothesis test. (6 points)
- Construct a 95% confidence interval corresponding to the hypothesis test and determine whether this interval supports or rejects the engineer’s suspect. (6 points)
Deliverable: Word Document 
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