Q5 Points =1+1+1+1= 4 Ch 18, Ex 36. 36 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 Ho: u=2.00 against HA: \"$2.00 at a signicance level of (1:005. If they discover a problem, they will stop the manufacturing process until it is corrected. 38 Catheters again The catheter company in Exercise 36 (above) is reviewing its testing procedure. Suppose the signicance level is changed to 01=0.01. a) Will the probability of a Type II error increase, decrease, or remain the same? b) What is meant by the power of the test the company conducts? 0) Suppose the manufacturing process is slipping out of proper adjustment. As the actual mean diameter of the catheters produced gets farther and farther above the desired 2.00 mm, will the power of the quality control test increase, decrease, or remain the same? d) What could they do to improve the power of the test