Question: Quality control – During an angiogram, heart problems can be examined via a small tube (catheter), threaded into the heart from vein in the patients leg. It’s important that the company who manufacturers the catheter maintain a catheter diameter of 2.0mm (the standard deviation is quite small). Each day quality control personnel make several measurements to test H _O : = 2.00 against H _A : \(\ne \) 2 at a significance level of alpha = 0.05. If they discover a problem, they will stop the manufacturing process until it’s corrected.

1. Is this a one sided or two sided test? In the context of the problem, why do you think this is important?
2. Explain in this context what happens if the quality control people commit a Type I error.
3. Explain in the context what happens if the quality control people commit a Type II error.

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