Intro Stats, Books a la Carte Edition (5th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 16, Problem 40E

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: 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.

  1. a) Is this a one-sided or two-sided test? In the context of the problem, why do you think this is important?
  2. b) Explain in this context what happens if the quality control people commit a Type I error.
  3. c) Explain in this context what happens if the quality control people commit a Type II error.
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Medication used to treat a certain condition is administered by syringe. The target dose in a particular application is 10 milligrams. Because of the variations in the syringe, in reading the scale, and in mixing the fluid suspension, the actual dose administered is normally distributed with mean μ = 10 milligrams and standard deviation o= 1.6 milligrams. A clinical overdose is defined as a dose larger than 15 milligrams. Would it be unusual for a patient to receive an overdose? Why or why not? (To answer this question, find the probability that a patient receives an overdose, and then choose the correct answer from the options below. Use Table A.2 (Normal Distribution Table) as needed.) M Question esc If OYes, it would be unusual for a patient to receive an overdose because the probability of an overdose is 0.0009, which is the less than the cutoff of 0.05. ONO, it would not be unusual for a patient to receive an overdose, because the probability of an overdose is 0.9991, which is…
Medication used to treat a certain condition is administered by syringe.  The target dose in a particular application is 10 milligrams.  Because of the variations in the syringe, in reading the scale, and in mixing the fluid suspension, the actual dose administered is normally distributed with mean μ = 10 milligrams and standard deviation σ = 1.6 milligrams.  A clinical overdose is defined as a dose larger than 15 milligrams.  Would it be unusual for a patient to receive an overdose?  Why or why not?  (Hint: First, find the probability that a patient will receive an overdose.  You will need to use the standard normal curve and Table A.2.  Then, based on the probability, decide whether this event would be unusual or not and explain your reasoning.)  Be sure to include support for why you would classify the event as unusual or not by mentioning the cutoff amount for an unusual event.
The velocity of an object can be modeled by an approximately normal distribution with a mean of 70 mph and a standard deviation of 4 mph. Calculate the value (in mph) representing the top 20% of velocities. (Use a table or technology. Round your answer to one decimal place.)

Chapter 16 Solutions

Intro Stats, Books a la Carte Edition (5th Edition)

Ch. 16 - True or false Which of the following are true? If...Ch. 16 - False or true Which of the following are true? If...Ch. 16 - P-values Which of the following are true? If...Ch. 16 - Prob. 4ECh. 16 - Prob. 5ECh. 16 - Prob. 6ECh. 16 - Prob. 7ECh. 16 - More critical values For each of the following...Ch. 16 - Prob. 9ECh. 16 - Significant again? A new reading program may...Ch. 16 - SECTION 16.4 11. Errors For each of the following...Ch. 16 - More errors For each of the following situations,...Ch. 16 - CHAPTER EXERCISES 13. P-value A medical researcher...Ch. 16 - Prob. 14ECh. 16 - Alpha A researcher developing scanners to search...Ch. 16 - Prob. 16ECh. 16 - Prob. 17ECh. 16 - Is the Euro fair? Soon after the Euro was...Ch. 16 - Prob. 19ECh. 16 - Prob. 20ECh. 16 - Prob. 21ECh. 16 - Prob. 22ECh. 16 - Prob. 23ECh. 16 - Prob. 24ECh. 16 - Prob. 25ECh. 16 - Prob. 26ECh. 16 - Prob. 27ECh. 16 - Alzheimers Testing for Alzheimers disease can be a...Ch. 16 - Prob. 29ECh. 16 - Quality control Production managers on an assembly...Ch. 16 - Cars, again As in Exercise 29, state regulators...Ch. 16 - Prob. 32ECh. 16 - Equal opportunity? A company is sued for job...Ch. 16 - Stop signs Highway safety engineers test new road...Ch. 16 - Prob. 35ECh. 16 - Ads A company is willing to renew its advertising...Ch. 16 - Prob. 37ECh. 16 - Prob. 38ECh. 16 - Prob. 39ECh. 16 - Catheters During an angiogram, heart problems can...Ch. 16 - Prob. 41ECh. 16 - Prob. 42ECh. 16 - Prob. 43ECh. 16 - Faulty or not? You are in charge of shipping...Ch. 16 - Prob. 45ECh. 16 - Prob. 46ECh. 16 - Prob. 47ECh. 16 - Prob. 48E
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