Gen Combo Ll Applied Statistics In Business & Economics; Connect Access Card
6th Edition
ISBN: 9781260260632
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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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.
4. Linear Regression - Model Assumptions and Interpretation
A real estate analyst is studying how house prices (Y) are related to house size in square feet (X). A simple
linear regression model is proposed:
The analyst fits the model and obtains:
•
Ŷ50,000+150X
YBoB₁X + €
•
R² = 0.76
• Residuals show a fan-shaped pattern when plotted against fitted values.
Questions:
a) Interpret the slope coefficient in context.
b) Explain what the R² value tells us about the model's performance.
c) Based on the residual pattern, what regression assumption is likely violated? What might be the
consequence?
d) Suggest at least two remedies to improve the model, based on the residual analysis.
Chapter 5 Solutions
Gen Combo Ll Applied Statistics In Business & Economics; Connect Access Card
Ch. 5.1 - A credit card customer at Barnes and Noble can use...Ch. 5.1 - A survey asked tax accounting firms their business...Ch. 5.1 - A baseball player bats either left-handed (L) or...Ch. 5.1 - A die is thrown (1, 2, 3, 4, 5, 6) and a coin is...Ch. 5.2 - Prob. 5SECh. 5.2 - Prob. 6SECh. 5.2 - Prob. 7SECh. 5.2 - Prob. 8SECh. 5.2 - Prob. 9SECh. 5.2 - Prob. 10SE
Ch. 5.2 - Prob. 11SECh. 5.2 - Prob. 12SECh. 5.3 - Prob. 13SECh. 5.3 - Are these events collectively exhaustive or not?...Ch. 5.3 - Prob. 15SECh. 5.3 - Given P(A) = .70, P(B) = .30, and P(A B) = .00,...Ch. 5.3 - Currently Samsung ships 21.7 percent of the...Ch. 5.3 - The probability of an IRS audit is 1.7 percent for...Ch. 5.3 - Prob. 19SECh. 5.3 - Prob. 20SECh. 5.3 - Prob. 21SECh. 5.3 - Prob. 22SECh. 5.4 - Given P(J) = .26, P(K) = .48. If A and B are...Ch. 5.4 - Given P(A) = .40, P(B) = .50. If A and B are...Ch. 5.4 - Prob. 25SECh. 5.4 - Prob. 26SECh. 5.4 - Prob. 27SECh. 5.4 - Prob. 28SECh. 5.4 - The probability that a student has a Visa card...Ch. 5.4 - Bob sets two alarm clocks (battery-powered) to be...Ch. 5.4 - A hospitals backup power system has three...Ch. 5.4 - Over 1,000 people try to climb Mt. Everest every...Ch. 5.4 - Suppose 50 percent of the customers at Pizza...Ch. 5.5 - The contingency table below shows the results of a...Ch. 5.5 - The contingency table below summarizes a survey of...Ch. 5.5 - Prob. 36SECh. 5.5 - A survey of 156 introductory statistics students...Ch. 5.5 - This contingency table describes 200 business...Ch. 5.5 - Based on the previous problem, is major...Ch. 5.5 - The following contingency table shows average...Ch. 5.6 - Of grocery shoppers who have a shopping cart, 70...Ch. 5.6 - A study showed that 60 percent of The Wall Street...Ch. 5.7 - A drug test for athletes has a 5 percent false...Ch. 5.7 - Half of a set of the parts are manufactured by...Ch. 5.7 - An airport gamma ray luggage scanner coupled with...Ch. 5.8 - (a) Find 8! without a calculator. Show your work....Ch. 5.8 - Prob. 47SECh. 5.8 - In the Minnesota Northstar Cash Drawing, you pick...Ch. 5.8 - Prob. 49SECh. 5.8 - Prob. 50SECh. 5.8 - Until 2005, the UPC bar code had 12 digits (09)....Ch. 5.8 - Bob has to study for four final exams: accounting...Ch. 5.8 - Prob. 53SECh. 5.8 - Prob. 54SECh. 5.8 - Prob. 55SECh. 5.8 - Prob. 56SECh. 5 - Prob. 1CRCh. 5 - Prob. 2CRCh. 5 - Prob. 3CRCh. 5 - Prob. 4CRCh. 5 - Prob. 5CRCh. 5 - Prob. 6CRCh. 5 - Prob. 7CRCh. 5 - In a contingency table, explain the concepts of...Ch. 5 - Prob. 9CRCh. 5 - Prob. 10CRCh. 5 - Prob. 11CRCh. 5 - MMs are blended in a ratio of 13 percent brown. 14...Ch. 5 - Prob. 61CECh. 5 - A judge concludes that there is a 20 percent...Ch. 5 - Prob. 63CECh. 5 - Prob. 64CECh. 5 - In the first year after its release, 83 percent of...Ch. 5 - The reported U.S. cesarean section delivery rate...Ch. 5 - Prob. 67CECh. 5 - If Punxsutawney Phil sees his shadow on February...Ch. 5 - Prob. 69CECh. 5 - Bob owns two stocks. There is an 80 percent...Ch. 5 - Prob. 71CECh. 5 - A study showed that trained police officers can...Ch. 5 - The probability that a 2011 Audi A8 will be stolen...Ch. 5 - The probability of being struck by lightning is...Ch. 5 - Prior to the start of the 2016 NCAA Mens...Ch. 5 - A certain model of remote-control Stanley garage...Ch. 5 - (a) In a certain state, license plates consist of...Ch. 5 - Prob. 78CECh. 5 - Prob. 79CECh. 5 - The probability that a customer at a grocery store...Ch. 5 - The probability that an international flight...Ch. 5 - A certain airplane has two independent alternators...Ch. 5 - Prob. 83CECh. 5 - Prob. 84CECh. 5 - A turboprop aircraft has two attitude gyroscopes,...Ch. 5 - Which are likely to be independent events? For...Ch. 5 - In child-custody cases, about 70 percent of the...Ch. 5 - A web server hosting company advertises 99.999...Ch. 5 - Prob. 89CECh. 5 - The probability is 1 in 4,000,000 that a single...Ch. 5 - If there are two riders on a city bus, what is the...Ch. 5 - Prob. 92CECh. 5 - Four students divided the task of surveying the...Ch. 5 - Refer to the contingency table shown below. (a)...Ch. 5 - Prob. 95CECh. 5 - High levels of cockpit noise in an aircraft can...Ch. 5 - Prob. 97CECh. 5 - A biometric security device using fingerprints...Ch. 5 - Dolon Web Security Consultants requires all job...
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