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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 5.00 mm. (The standard deviation is quite small.) Each day, quality control personnel make several measurements to test Ho: μ = 5.00 against HA: μ#5.00 at a significance of α = 0.05. If they discover a problem, they will stop the manufacturing process until it is corrected. Answer parts a through c below. a) Is this a one-sided or two-sided test? In the context of the problem, why is this important? Select the correct choice below. OA. This is a two-sided test. A deviation in either direction could have medical consequences. OB. This is a one-sided test. A deviation only has medical consequences in the negative direction. OC. This is a one-sided test. A deviation only has medical consequences in the positive direction. OD. This is a two-sided test. A deviation in either direction. will not have any medical consequences. b) Explain in this context what happens if the quality control people commit a Type I error. Select the correct choice below. OA. They will decide the catheters be rejected when in fact the diameters are not fine. OB. They will decide the catheters be rejected when in fact the diameters are fine. OC. They will decide the catheters are safe when in fact the diameters are not fine. OD. They will decide the catheters are safe when in fact the diameters are fine. c) Explain in this context what happens if the quality control people commit a type II error.

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 5.00 mm. (The standard deviation is quite small.) Each day, quality control personnel make several measurements to test Ho: μ = 5.00 against HA: μ#5.00 at a significance of α = 0.05. If they discover a problem, they will stop the manufacturing process until it is corrected. Answer parts a through c below. a) Is this a one-sided or two-sided test? In the context of the problem, why is this important? Select the correct choice below. OA. This is a two-sided test. A deviation in either direction could have medical consequences. OB. This is a one-sided test. A deviation only has medical consequences in the negative direction. OC. This is a one-sided test. A deviation only has medical consequences in the positive direction. OD. This is a two-sided test. A deviation in either direction. will not have any medical consequences. b) Explain in this context what happens if the quality control people commit a Type I error. Select the correct choice below. OA. They will decide the catheters be rejected when in fact the diameters are not fine. OB. They will decide the catheters be rejected when in fact the diameters are fine. OC. They will decide the catheters are safe when in fact the diameters are not fine. OD. They will decide the catheters are safe when in fact the diameters are fine. c) Explain in this context what happens if the quality control people commit a type II error.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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K 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 5.00 mm. (The standard deviation is quite small.) Each day, quality control personnel make several measurements to test Ho: μ = 5.00 against HA: μ#5.00 at a significance of a = 0.05. If they discover a problem, they will stop the manufacturing process until it is corrected. Answer parts a through c below. a) Is this a one-sided or two-sided test? In the context of the problem, why is this important? Select the correct choice below. A. This is a two-sided test. A deviation in either direction could have medical consequences. OB. This is a one-sided test. A deviation only has medical consequences in the negative direction. OC. This is a one-sided test. A deviation only has medical consequences in the positive direction. OD. This is a two-sided test. A deviation in either direction will not have any medical consequences. b) Explain in this context what happens if the quality control people commit a Type I error. Select the correct choice below. OA. They will decide the catheters be rejected when in fact the diameters are not fine. OB. They will decide the catheters be rejected when in fact the diameters are fine. OC. They will decide the catheters are safe when in fact the diameters are not fine. D. They will decide the catheters are safe when in fact the diameters are fine. c) Explain in this context what happens if the quality control people commit a type II error. OA. They will decide the catheters be rejected when in fact the diameters are fine.
Transcribed Image Text:K 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 5.00 mm. (The standard deviation is quite small.) Each day, quality control personnel make several measurements to test Ho: μ = 5.00 against HA: μ#5.00 at a significance of a = 0.05. If they discover a problem, they will stop the manufacturing process until it is corrected. Answer parts a through c below. a) Is this a one-sided or two-sided test? In the context of the problem, why is this important? Select the correct choice below. A. This is a two-sided test. A deviation in either direction could have medical consequences. OB. This is a one-sided test. A deviation only has medical consequences in the negative direction. OC. This is a one-sided test. A deviation only has medical consequences in the positive direction. OD. This is a two-sided test. A deviation in either direction will not have any medical consequences. b) Explain in this context what happens if the quality control people commit a Type I error. Select the correct choice below. OA. They will decide the catheters be rejected when in fact the diameters are not fine. OB. They will decide the catheters be rejected when in fact the diameters are fine. OC. They will decide the catheters are safe when in fact the diameters are not fine. D. They will decide the catheters are safe when in fact the diameters are fine. c) Explain in this context what happens if the quality control people commit a type II error. OA. They will decide the catheters be rejected when in fact the diameters are fine.
K 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 5.00 mm. (The standard deviation is quite small.) Each day, quality control personnel make several measurements to test Ho: μ = 5.00 against HA: μ5.00 at a significance of α = 0.05. If they discover a problem, they will stop the manufacturing process until it is corrected. Answer parts a through c below. (... consequences in the negative direction. C. This is a one-sided test. A deviation only has medical consequences in the positive direction. OD. This is a two-sided test. A deviation in either direction will not have any medical consequences. b) Explain in this context what happens if the quality control people commit a Type I error. Select the correct choice below. A. They will decide the catheters be rejected when in fact the diameters are not fine. B. They will decide the catheters be rejected when in fact the diameters are fine. C. They will decide the catheters are safe when in fact the diameters are not fine. D. They will decide the catheters are safe when in fact the diameters are fine. c) Explain in this context what happens if the quality control people commit a type II error. A. They will decide the catheters be rejected when in fact the diameters are fine. B. They will decide the catheters be rejected when in fact the diameters are not fine. C. They will decide the catheters are safe when in fact the diameters are fine. D. They will decide the catheters are safe when in fact the diameters are not fine.
Transcribed Image Text:K 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 5.00 mm. (The standard deviation is quite small.) Each day, quality control personnel make several measurements to test Ho: μ = 5.00 against HA: μ5.00 at a significance of α = 0.05. If they discover a problem, they will stop the manufacturing process until it is corrected. Answer parts a through c below. (... consequences in the negative direction. C. This is a one-sided test. A deviation only has medical consequences in the positive direction. OD. This is a two-sided test. A deviation in either direction will not have any medical consequences. b) Explain in this context what happens if the quality control people commit a Type I error. Select the correct choice below. A. They will decide the catheters be rejected when in fact the diameters are not fine. B. They will decide the catheters be rejected when in fact the diameters are fine. C. They will decide the catheters are safe when in fact the diameters are not fine. D. They will decide the catheters are safe when in fact the diameters are fine. c) Explain in this context what happens if the quality control people commit a type II error. A. They will decide the catheters be rejected when in fact the diameters are fine. B. They will decide the catheters be rejected when in fact the diameters are not fine. C. They will decide the catheters are safe when in fact the diameters are fine. D. They will decide the catheters are safe when in fact the diameters are not fine.
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