Student Solutions Manual for Basic Business Statistics
Student Solutions Manual for Basic Business Statistics
13th Edition
ISBN: 9780321926708
Author: David M. Levine; Mark L. Berenson; Timothy C. Krehbiel; Kathryn A. Szabat; David F. Stephan
Publisher: Pearson Education
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Chapter 1, Problem 43PS

a.

To determine

Mention an example of categorical variable included in the survey.

b.

To determine

Mention an example of numerical variable included in the survey.

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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.
5. Probability Distributions – Continuous Random Variables A factory machine produces metal rods whose lengths (in cm) follow a continuous uniform distribution on the interval [98, 102]. Questions: a) Define the probability density function (PDF) of the rod length.b) Calculate the probability that a randomly selected rod is shorter than 99 cm.c) Determine the expected value and variance of rod lengths.d) If a sample of 25 rods is selected, what is the probability that their average length is between 99.5 cm and 100.5 cm? Justify your answer using the appropriate distribution.

Chapter 1 Solutions

Student Solutions Manual for Basic Business Statistics

Ch. 1 - The director of market research at a large...Ch. 1 - Visit the website of the Pew Research organization...Ch. 1 - Transportation engineers and planners want to...Ch. 1 - Visit the home page of the Statistics Portal...Ch. 1 - For a population containing N=902 individual, what...Ch. 1 - For a population of N=902, verify that by starting...Ch. 1 - Given a population of N=93, starting in row 29,...Ch. 1 - For a study that consists of personal interviews...Ch. 1 - You want to select a random sample of n=1 from a...Ch. 1 - A population has four members (called A, B, C, and...Ch. 1 - The registrar of a university with a population of...Ch. 1 - Prenumbered sales invoices are kept in a sales...Ch. 1 - Prob. 25PSCh. 1 - A Survey indicates that the vast majority of...Ch. 1 - A simple random sample of n=300 full–time...Ch. 1 - The results of a 2013 Adobe system study on retail...Ch. 1 - Prob. 29PSCh. 1 - Prob. 30PSCh. 1 - What is the difference between a sample and a...Ch. 1 - What is the difference between a statistic and...Ch. 1 - What is the difference between a categorical...Ch. 1 - What is the difference between a discrete...Ch. 1 - What is the difference between a nominal scaled...Ch. 1 - What is difference between an interval scaled...Ch. 1 - What is the difference between probability...Ch. 1 - Visit the official website for either Excel...Ch. 1 - Prob. 39PSCh. 1 - The Gallup organization releases the results of...Ch. 1 - Prob. 41PSCh. 1 - Prob. 43PSCh. 1 - Three professors examined awareness of four widely...Ch. 1 - A manufacturer of cat food is planning to survey...
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