Essentials Of Statistics For Business & Economics
9th Edition
ISBN: 9780357045435
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Chapter 9.8, Problem 56E
Underfilling Packages of Coffee. Suppose the project director for the Hilltop Coffee study (see Section 9.3) asked for a .10
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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 9 Solutions
Essentials Of Statistics For Business & Economics
Ch. 9.1 - 1. The manager of the Danvers-Hilton Resort Hotel...Ch. 9.1 - 2. The manager of an automobile dealership is...Ch. 9.1 - A production line operation is designed to fill...Ch. 9.1 - Because of high production-changeover time and...Ch. 9.2 - Beer and Cider Consumption. According to the...Ch. 9.2 - 6. The label on a 3-quart container of orange...Ch. 9.2 - Carpet Salesperson Salaries. Carpetland...Ch. 9.2 - 8. Suppose a new production method will be...Ch. 9.3 - Consider the following hypothesis test: H0:20Ha:20...Ch. 9.3 - Consider the following hypothesis test:
A sample...
Ch. 9.3 - Consider the following hypothesis test:
A sample...Ch. 9.3 - Consider the following hypothesis test:
A sample...Ch. 9.3 - Consider the following hypothesis test: H0:50Ha:50...Ch. 9.3 - Prob. 14ECh. 9.3 - Federal Tax Returns. According to the IRS,...Ch. 9.3 - Credit Card Use by Undergraduates. In a study...Ch. 9.3 - Use of Texting. TextRequest reports that adults...Ch. 9.3 - CPA Work Hours. The American Institute of...Ch. 9.3 - Length of Calls to the IRS. According to the IRS,...Ch. 9.3 - Prescription Drug Costs. Annual expenditure for...Ch. 9.3 - Cost of Telephone Surveys. Fowle Marketing...Ch. 9.3 - Time in Supermarket Checkout Lines. CCN and...Ch. 9.4 - Consider the following hypothesis test: H0:12Ha:12...Ch. 9.4 - Consider the following hypothesis test:
A sample...Ch. 9.4 - Consider the following hypothesis test: H0:45Ha:45...Ch. 9.4 - Consider the following hypothesis test:
A sample...Ch. 9.4 - Price of Good Red Wine. According to the Vivino...Ch. 9.4 - CEO Tenure. A shareholders’ group, in lodging a...Ch. 9.4 - Cost of Residential Water. On its municipal...Ch. 9.4 - Prob. 30ECh. 9.4 - Chocolate Consumption. The United States ranks...Ch. 9.4 - Used Car Prices. According to the National...Ch. 9.4 - Automobile Insurance Premiums. The Onsure.com...Ch. 9.4 - Prob. 34ECh. 9.5 - Consider the following hypothesis test:...Ch. 9.5 - Consider the following hypothesis test:
A sample...Ch. 9.5 - Union Membership. The U.S. Bureau of Labor...Ch. 9.5 - Attitudes toward Supermarket Brands. A study by...Ch. 9.5 - Population Mobility. What percentage of the...Ch. 9.5 - Holiday Gifts from Employers. Last year, 46% of...Ch. 9.5 - Adequate Preparation for Retirement. In 2018, RAND...Ch. 9.5 - Returned Merchandise. According to the University...Ch. 9.5 - Coupon Usage. Eagle Outfitters is a chain of...Ch. 9.5 - Malpractice Suits. One of the reasons health care...Ch. 9.5 - Bullish, Neutral, or Bearish. The American...Ch. 9.7 - Consider the following hypothesis test. H0:10Ha:10...Ch. 9.7 - Consider the following hypothesis test.
A sample...Ch. 9.7 - Prob. 48ECh. 9.7 - Miles per Gallon. A consumer research group is...Ch. 9.7 - Age of Magazine Subscribers. Young Adult magazine...Ch. 9.7 - Length of Telephone Surveys. Refer to exercise 48....Ch. 9.7 - Employee Participation in Investment Plans. Sparr...Ch. 9.8 - Consider the following hypothesis test. H0:10Ha:10...Ch. 9.8 - Consider the following hypothesis test....Ch. 9.8 - Underfilling Packages of Coffee. Suppose the...Ch. 9.8 - Battery Life. A special industrial battery must...Ch. 9.8 - Mean Age of Magazine Subscribers. Young Adult...Ch. 9.8 - Automobile Mileage. An automobile mileage study...Ch. 9.9 - Governmental Use of email. The Federal Government...Ch. 9.9 - CEOs and Social Networks. CEOs who belong to a...Ch. 9.9 - French Fry Purchases. The American Potato Growers...Ch. 9.9 - Prob. 63ECh. 9 - Production Line Fill Weights. A production line...Ch. 9 - Scholarship Examination Scores. At Western...Ch. 9 - Exposure to Background Television. CNN reports...Ch. 9 - Starting Salaries for Business Graduates. Michigan...Ch. 9 - British Men’s Age at Marriage. Data from the...Ch. 9 - Wages of Workers Without High School Diploma....Ch. 9 - Residential Property Values. The chamber of...Ch. 9 - Length of Time to Sell a Home. According to the...Ch. 9 - Sleeping on Flights. According to Expedia, 52% of...Ch. 9 - Using Laptops on Flights. An airline promotion to...Ch. 9 - Millennial Dependency on Parents. Members of the...Ch. 9 - Using Social Media in a Job Search. According to...Ch. 9 - Hotel Availability Over Holiday Weekend. A radio...Ch. 9 - Vegetarianism in the United States. Vegetarians...Ch. 9 - Construction Worker Idle Time. Shorney...Ch. 9 - Federal Funding for Neighborhood Projects. A...Ch. 9 - Soap Production Process. H0: m = 120 and Ha: μ ≠...Ch. 9 - Time Spent Channel Surfing. According to...Ch. 9 - Potato Chip Quality Control. NDC Technology’s...Ch. 9 - TSA Security Line Wait Times. According to the...Ch. 9 - Quality Associates, Inc. Quality Associates, Inc.,...Ch. 9 - Case problem 2 Ethical Behavior of Business...
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