During an angiogram, heart problems can be examined via a small tube (a catheter

Question

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 H_0: mu = 2.00 against H_A: mu notequalto 2.00 at a significance level of alpha = 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.

Explanation / Answer

Answer:

a).

This is a two sided test. This is important because the diameter is more than 2.00mm or less than 2.00 mm will be more affecting the patient health.

b).

Type I error is we stop the manufacturing process when actually the diameter is 2.00 mm.

c).

Type II error is we fail to stop the manufacturing process when actually the diameter is different from 2.00 mm.

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