Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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Textbook Question
Chapter 2.6, Problem 2.47E
Difference between simple tabulation and crosstabulation, and given a real or hypothetical example of each.
Note: Exercises 2.48-2.50 can be done by hand, but computer statistical software is prefereable, if available.
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3. Bayesian Inference – Updating Beliefs
A medical test for a rare disease has the following characteristics:
Sensitivity (true positive rate): 99%
Specificity (true negative rate): 98%
The disease occurs in 0.5% of the population.
A patient receives a positive test result.
Questions:
a) Define the relevant events and use Bayes’ Theorem to compute the probability that the patient actually has the disease.b) Explain why the result might seem counterintuitive, despite the high sensitivity and specificity.c) Discuss how prior probabilities influence posterior beliefs in Bayesian inference.d) Suppose a second, independent test with the same accuracy is conducted and is also positive. Update the probability that the patient has the disease.
Chapter 2 Solutions
Introduction to Business Statistics
Ch. 2.2 - What is a frequency distribution? What benefits...Ch. 2.2 - Prob. 2.2ECh. 2.2 - The National Safety Council reports the following...Ch. 2.2 - Prob. 2.4ECh. 2.2 - Prob. 2.5ECh. 2.2 - Using the frequency distribution in Exercisc 2.5,...Ch. 2.2 - What is meant by the statement that the set of...Ch. 2.2 - For commercial banks in each state, the U.S....Ch. 2.2 - The accompanying data describe the hourly wage...Ch. 2.2 - The following performance scores have been...
Ch. 2.2 - During his career in the NHL, hockey great Wayne...Ch. 2.2 - According to the U.S. Department of Agriculture,...Ch. 2.2 - Convert the distribution in Exercise 2.3 to a...Ch. 2.2 - Prob. 2.14ECh. 2.2 - Using the frequency distribution obtained in...Ch. 2.2 - For the frequency distribution constructed in...Ch. 2.2 - Prob. 2.17ECh. 2.2 - Prob. 2.18ECh. 2.2 - Prob. 2.19ECh. 2.3 - Construct a stem-and-leaf display for the...Ch. 2.3 - Prob. 2.21ECh. 2.3 - In the following stem-and-leaf display for a set...Ch. 2.3 - Prob. 2.23ECh. 2.3 - Prob. 2.24ECh. 2.3 - Prob. 2.25ECh. 2.3 - Prob. 2.26ECh. 2.3 - Prob. 2.28ECh. 2.4 - What is the difference between a histogram and a...Ch. 2.4 - Prob. 2.30ECh. 2.4 - Prob. 2.31ECh. 2.4 - Prob. 2.32ECh. 2.4 - Prob. 2.33ECh. 2.4 - Prob. 2.34ECh. 2.4 - It has been estimated that 92.9% of U.S....Ch. 2.4 - Prob. 2.37ECh. 2.5 - What is a scatterplot, and for what kind of data...Ch. 2.5 - Prob. 2.39ECh. 2.5 - Prob. 2.40ECh. 2.5 - Prob. 2.41ECh. 2.5 - For six local offices of a large tax prepartion...Ch. 2.5 - In the 2009 stress tests applied to the nation’s...Ch. 2.5 - Prob. 2.44ECh. 2.5 - Prob. 2.45ECh. 2.6 - Prob. 2.46ECh. 2.6 - Difference between simple tabulation and...Ch. 2.6 - Prob. 2.48ECh. 2.6 - For the fleet described in Exercise 2.48, a....Ch. 2.6 - Prob. 2.50ECh. 2.6 - Prob. 2.51ECh. 2.6 - Prob. 2.52ECh. 2.6 - Prob. 2.53ECh. 2.6 - Prob. 2.54ECh. 2 - The breakdown of U.S. cities having a population...Ch. 2 - The National Oceanic and Atmospheric...Ch. 2 - Prob. 2.57CECh. 2 - Prob. 2.58CECh. 2 - Prob. 2.59CECh. 2 - Prob. 2.60CECh. 2 - The following stem-and-leaf output has been...Ch. 2 - For the period 2001—2008, the lristol-Myers Squibb...Ch. 2 - Prob. 2.63CECh. 2 - Prob. 2.64CECh. 2 - Prob. 2.65CECh. 2 - Prob. 2.66CECh. 2 - Prob. 2.67CECh. 2 - Prob. 2.68CECh. 2 - Prob. 2.69CECh. 2 - Prob. 2.70CECh. 2 - Using 10-yard intervals beginning with 200.0—under...Ch. 2 - Using the same intervals as in part 1, construct a...Ch. 2 - Prob. 1.3IC
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