Fundamentals of Statistics Plus MyLab Statistics with Pearson eText - Title-Specific Access Card Package (5th Edition)
5th Edition
ISBN: 9780134763729
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 7.4, Problem 1AYU
In a binomial experiment with n trials and
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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
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The analyst fits the model and obtains:
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Ŷ50,000+150X
YBoB₁X + €
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R² = 0.76
• Residuals show a fan-shaped pattern when plotted against fitted values.
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a) Interpret the slope coefficient in context.
b) Explain what the R² value tells us about the model's performance.
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d) Suggest at least two remedies to improve the model, based on the residual analysis.
Chapter 7 Solutions
Fundamentals of Statistics Plus MyLab Statistics with Pearson eText - Title-Specific Access Card Package (5th Edition)
Ch. 7.1 - A _____ _____ _____ is an equation used to compute...Ch. 7.1 - A _______ is an equation, table, or graph used to...Ch. 7.1 - True or False: The normal curve is symmetric about...Ch. 7.1 - The area under the normal curve to the right of ...Ch. 7.1 - The points at x = _____ and x = _____ are the...Ch. 7.1 - The area under a normal curve can be interpreted...Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - Prob. 10AYU
Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - Problems 1316 use the information presented in...Ch. 7.1 - Problems 1316 use the information presented in...Ch. 7.1 - Prob. 15AYUCh. 7.1 - Problems 1316 use the information presented in...Ch. 7.1 - Uniform Distribution The random-number generator...Ch. 7.1 - Uniform Distribution The reaction time X (in...Ch. 7.1 - In Problems 1922, determine whether or not the...Ch. 7.1 - In Problems 1922, determine whether or not the...Ch. 7.1 - In Problems 1922, determine whether or not the...Ch. 7.1 - In Problems 1922, determine whether or not the...Ch. 7.1 - One graph in the figure on the following page...Ch. 7.1 - One graph in the figure below represents a normal...Ch. 7.1 - In Problems 2528, the graph of a normal curve is...Ch. 7.1 - In Problems 2528, the graph of a normal curve is...Ch. 7.1 - Prob. 27AYUCh. 7.1 - In Problems 2528, the graph of a normal curve is...Ch. 7.1 - In Problems 29 and 30, draw a normal curve and...Ch. 7.1 - Prob. 30AYUCh. 7.1 - NW You Explain It! Cell Phone Rates Monthly...Ch. 7.1 - You Explain It! Refrigerators The lives of...Ch. 7.1 - You Explain It! Birth Weights The birth weights of...Ch. 7.1 - You Explain It! Height of 10-Year-Old Males The...Ch. 7.1 - NW You Explain It! Gestation Period The lengths of...Ch. 7.1 - Prob. 36AYUCh. 7.1 - Hitting with a Pitching Wedge In the game of golf,...Ch. 7.1 - Heights of Five-Year-Old Females The following...Ch. 7.1 - Cardiac Arrest Researchers conducted a prospective...Ch. 7.2 - A random variable Z that is normally distributed...Ch. 7.2 - The notation z is the z-score such that the area...Ch. 7.2 - If X is a normal random variable with mean 40 and...Ch. 7.2 - If X is normal random variable with mean 40 and...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 512, find the indicated areas. For...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1318, find the indicated z-score. Be...Ch. 7.2 - In Problems 1922, find the value of z. 19. NW...Ch. 7.2 - In Problems 1922, find the value of z. 20. z0.02Ch. 7.2 - In Problems 1922, find the value of z. 21. z0.025Ch. 7.2 - In Problems 1922, find the value of z. 22. z0.015Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 2332, assume that the random variable...Ch. 7.2 - In Problems 3336, assume that the random variable...Ch. 7.2 - In Problems 3336, assume that the random variable...Ch. 7.2 - In Problems 3336, assume that the random variable...Ch. 7.2 - In Problems 3336, assume that the random variable...Ch. 7.2 - Egg Incubation Times The mean incubation time of...Ch. 7.2 - Reading Rates The reading speed of sixth-grade...Ch. 7.2 - NW Chips Ahoy! Cookies The number of chocolate...Ch. 7.2 - Wendys Drive-Through Fast-food restaurants spend...Ch. 7.2 - Gestation Period The lengths of human pregnancies...Ch. 7.2 - Light Bulbs General Electric manufactures a...Ch. 7.2 - Manufacturing Steel rods are manufactured with a...Ch. 7.2 - Manufacturing Ball bearings are manufactured with...Ch. 7.2 - NCAA Basketball Point Spreads In sports betting,...Ch. 7.2 - Prob. 46AYUCh. 7.2 - NW Egg Incubation Times The mean incubation time...Ch. 7.2 - Reading Rates The reading speed of sixth-grade...Ch. 7.2 - Chips Ahoy! Cookies The number of chocolate chips...Ch. 7.2 - Wendys Drive-Through Fast-food restaurants spend...Ch. 7.2 - Speedy Lube The time required for Speedy Lube to...Ch. 7.2 - Putting It Together: Birth Weights The following...Ch. 7.2 - Prob. 53AYUCh. 7.2 - Prob. 54AYUCh. 7.2 - Explain why P(X 220) should be reported as ...Ch. 7.2 - The ACT and SAT are two college entrance exams....Ch. 7.3 - A _____ _____ _____ is a graph that plots observed...Ch. 7.3 - True or False: A normal score is the expected...Ch. 7.3 - In Problems 36, use the results in the table to...Ch. 7.3 - In Problems 36, use the results in the table to...Ch. 7.3 - In Problems 36, use the results in the table to...Ch. 7.3 - In Problems 36, use the results in the table to...Ch. 7.3 - In Problems 710, use a normal probability plot to...Ch. 7.3 - In Problems 710, use a normal probability plot to...Ch. 7.3 - In Problems 710, use a normal probability plot to...Ch. 7.3 - In Problems 710, use a normal probability plot to...Ch. 7.3 - Chips per Bag In a 1998 advertising campaign,...Ch. 7.3 - Hours of TV A random sample of college students...Ch. 7.3 - Putting It Together: Demon Roller Coaster Retrieve...Ch. 7.4 - In a binomial experiment with n trials and...Ch. 7.4 - When adding or subtracting 0.5 from X, we are...Ch. 7.4 - Suppose X is a binomial random variable. To...Ch. 7.4 - Suppose X is a binomial random variable. To...Ch. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - Prob. 9AYUCh. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - Prob. 11AYUCh. 7.4 - In Problems 514, a discrete random variable is...Ch. 7.4 - Prob. 13AYUCh. 7.4 - Prob. 14AYUCh. 7.4 - In Problems 1520, compute P(x) using the binomial...Ch. 7.4 - In Problems 1520, compute P(x) using the binomial...Ch. 7.4 - In Problems 1520, compute P(x) using the binomial...Ch. 7.4 - In Problems 1520, compute P(x) using the binomial...Ch. 7.4 - Prob. 19AYUCh. 7.4 - Prob. 20AYUCh. 7.4 - NW On-Time Flights According to American Airlines,...Ch. 7.4 - Prob. 22AYUCh. 7.4 - Prob. 23AYUCh. 7.4 - Sneeze According to a study done by Nick Wilson of...Ch. 7.4 - Males Living at Home According to the Current...Ch. 7.4 - Females Living at Home According to the Current...Ch. 7.4 - NW Boys Are Preferred In a Gallup poll, 37% of...Ch. 7.4 - Liars According to a USA Today Snapshot, 3% of...Ch. 7 - Use the figure to answer the questions that...Ch. 7 - In Problems 2 and 3, draw a standard normal curve...Ch. 7 - In Problems 2 and 3, draw a standard normal curve...Ch. 7 - Find the z-score such that the area to the right...Ch. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Tire Wear Suppose that Dunlop Tire manufactures a...Ch. 7 - Wechsler Intelligence Scale The Wechsler...Ch. 7 - Major League Baseballs According to Major League...Ch. 7 - America Reads According to a Gallup poll, 46% of...Ch. 7 - Prob. 14RECh. 7 - Hector obtained a random sample of twenty recent...Ch. 7 - Density of Earth In 1798, Henry Cavendish obtained...Ch. 7 - Creative Thinking According to a USA Today...Ch. 7 - A continuous random variable X is uniformly...Ch. 7 - List the properties of the normal density curve.Ch. 7 - Prob. 20RECh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Suppose that the talk time on the Apple iPhone is...Ch. 7 - The waist circumference of males 2029 years old is...Ch. 7 - Suppose the scores earned on Professor McArthurs...Ch. 7 - In a poll conducted by the Gallup organization,...Ch. 7 - Prob. 10CTCh. 7 - A continuous random variable X is uniformly...Ch. 7 - The reference interval for HDL cholesterol is...
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