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: μ =2.00
against
ha : μ ≠ 2.00
at a significance level of
α = 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.