Catheters During an angiogram, heart problems can be examined via a small tube (a catheter) threaded into the heart from a vein in the patient’s leg. It’s important that the company that manufactures...

Catheters During an angiogram, heart problems can be examined via a small tube (a catheter) threaded into the heart from a vein in the patient’s leg. It’s important that the company that manufactures the catheter maintain a diameter of 2.00 mm. (The standard deviation is quite small.) Each day, quality control personnel make several measurements to test H₀: m = 2.00 against H_A: m  2.00 at a significance level of a = 0.05. If they discover a problem, they will stop the manufacturing process until it is corrected.

 a) Is this a one-sided or two-sided test? In the context of the problem, why do you think this is important?

 b) Explain in this context what happens if the quality control people commit a Type I error.

 c) Explain in this context what happens if the quality control people commit a Type II error.