Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 3.1, Problem 28AYU
To determine
To draw: A frequency histogram.
To determine
To identify: The shape of the distribution of the profit from new cars.
To determine
The mean and the median of the profit from new cars.
To determine
The better measure of central tendency in the provided scenario.
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ons
12. A sociologist hypothesizes that the crime rate is higher in areas
with higher poverty rate and lower median income. She col-
lects data on the crime rate (crimes per 100,000 residents),
the poverty rate (in %), and the median income (in $1,000s)
from 41 New England cities. A portion of the regression results
is shown in the following table.
Standard
Coefficients
error
t stat
p-value
Intercept
-301.62
549.71
-0.55 0.5864
Poverty
53.16
14.22
3.74 0.0006
Income
4.95
8.26
0.60 0.5526
a.
b.
Are the signs as expected on the slope coefficients?
Predict the crime rate in an area with a poverty rate of
20% and a median income of $50,000.
3. Using data from 50 work
2. The owner of several used-car dealerships believes that the
selling price of a used car can best be predicted using the car's
age. He uses data on the recent selling price (in $) and age of
20 used sedans to estimate Price = Po + B₁Age + ε. A portion
of the regression results is shown in the accompanying table.
Standard
Coefficients
Intercept
21187.94
Error
733.42
t Stat p-value
28.89 1.56E-16
Age
-1208.25
128.95 -9.37
2.41E-08
a. What is the estimate for B₁? Interpret this value.
b. What is the sample regression equation?
C. Predict the selling price of a 5-year-old sedan.
ian income of $50,000.
erty rate of
13. Using data from 50 workers, a researcher estimates Wage =
Bo+B,Education + B₂Experience + B3Age+e, where Wage
is the hourly wage rate and Education, Experience, and Age
are the years of higher education, the years of experience, and
the age of the worker, respectively. A portion of the regression
results is shown in the following table. ni ogolloo bash
1
Standard
Coefficients error
t stat p-value
Intercept
7.87
4.09
1.93
0.0603
Education
1.44
0.34
4.24 0.0001
Experience
0.45
0.14
3.16
0.0028
Age
-0.01
0.08 -0.14 0.8920
a. Interpret the estimated coefficients for Education and
Experience.
b. Predict the hourly wage rate for a 30-year-old worker
with four years of higher education and three years of
experience.
Chapter 3 Solutions
Statistics: Informed Decisions Using Data (5th Edition)
Ch. 3.1 - 1. What does it mean if a statistic is resistant?
Ch. 3.1 - 2. In the 2013 Current Population Survey conducted...Ch. 3.1 - Prob. 3AYUCh. 3.1 - 4. A histogram of a set of data indicates that the...Ch. 3.1 - 5. If a data set contains 10,000 values arranged...Ch. 3.1 - 6. True or False: A data set will always have...Ch. 3.1 - In Problems 7–10, find the population mean or...Ch. 3.1 - Prob. 8AYUCh. 3.1 - In Problems 7–10, find the population mean or...Ch. 3.1 - In Problems 7–10, find the population mean or...
Ch. 3.1 - Prob. 11AYUCh. 3.1 - 12. The median for the given set of six ordered...Ch. 3.1 - 13. Miles per Gallon The following data represent...Ch. 3.1 - 14. Exam Time The following data represent the...Ch. 3.1 - 15. Concrete Mix A certain type of concrete mix is...Ch. 3.1 - 16. Flight Time The following data represent the...Ch. 3.1 - 17. For each of the three histograms shown,...Ch. 3.1 - 18. Match the histograms shown to the summary...Ch. 3.1 - Prob. 19AYUCh. 3.1 - 20. pH in Water The acidity or alkalinity of a...Ch. 3.1 - 21. Pulse Rates The following data represent the...Ch. 3.1 - 22. Travel Time The data on the next page...Ch. 3.1 - 23. Connection Time A histogram of the connection...Ch. 3.1 - 24. Journal Costs A histogram of the annual...Ch. 3.1 - 25. M&Ms The following data represent the weights...Ch. 3.1 - Prob. 26AYUCh. 3.1 - Prob. 27AYUCh. 3.1 - Prob. 28AYUCh. 3.1 - Prob. 29AYUCh. 3.1 - Prob. 30AYUCh. 3.1 - Prob. 31AYUCh. 3.1 - Prob. 32AYUCh. 3.1 - Prob. 33AYUCh. 3.1 - Prob. 34AYUCh. 3.1 - Prob. 35AYUCh. 3.1 - 36. Sullivan Survey Go to...Ch. 3.1 - Prob. 37AYUCh. 3.1 - 38. Linear Transformations Use the five test...Ch. 3.1 - Prob. 39AYUCh. 3.1 - Prob. 40AYUCh. 3.1 - Prob. 41AYUCh. 3.1 - Prob. 42AYUCh. 3.1 - Prob. 43AYUCh. 3.1 - 44. A researcher with the Department of Energy...Ch. 3.1 - Prob. 45AYUCh. 3.1 - 46. You are negotiating a contract for the Players...Ch. 3.1 - Prob. 47AYUCh. 3.1 - Prob. 48AYUCh. 3.2 - 1. The sum of the deviations about the mean always...Ch. 3.2 - 2. The standard deviation is used in conjunction...Ch. 3.2 - 3. True or False: When comparing two populations,...Ch. 3.2 - Prob. 4AYUCh. 3.2 - Prob. 5AYUCh. 3.2 - Prob. 6AYUCh. 3.2 - In Problems 5–10, by hand, find the population...Ch. 3.2 - Prob. 8AYUCh. 3.2 - Prob. 9AYUCh. 3.2 - Prob. 10AYUCh. 3.2 - 11. Miles per Gallon The following data represent...Ch. 3.2 - 12. Exam Time The following data represent the...Ch. 3.2 - Prob. 13AYUCh. 3.2 - Prob. 14AYUCh. 3.2 - 15. Which histogram depicts a higher standard...Ch. 3.2 - 16. Match the histograms in the next column to the...Ch. 3.2 - 17. Exam Scores The following data represent exam...Ch. 3.2 - 18. pH in Water The acidity or alkalinity of a...Ch. 3.2 - 19. Pulse Rates The data on the following page...Ch. 3.2 - Prob. 20AYUCh. 3.2 - Prob. 21AYUCh. 3.2 - Prob. 22AYUCh. 3.2 - 23. The Empirical Rule The following data...Ch. 3.2 - 24. The Empirical Rule The following data...Ch. 3.2 - 25. Which Car Would You Buy? Suppose that you are...Ch. 3.2 - Prob. 26AYUCh. 3.2 - 27. Rates of Returns of Stocks Stocks may be...Ch. 3.2 - Prob. 28AYUCh. 3.2 - 29. The Empirical Rule The Stanford–Binet...Ch. 3.2 - 30. The Empirical Rule SAT Math scores have a...Ch. 3.2 - 31. The Empirical Rule The weight, in grams, of...Ch. 3.2 - 32. The Empirical Rule The distribution of the...Ch. 3.2 - Prob. 33AYUCh. 3.2 - Prob. 34AYUCh. 3.2 - NW 35. Chebyshev's Inequality In December 2014,...Ch. 3.2 - 36. Chebyshev's Inequality According to the U.S....Ch. 3.2 - Prob. 37AYUCh. 3.2 - Prob. 38AYUCh. 3.2 - 39. Resistance and Sample Size Each of the...Ch. 3.2 - Prob. 40AYUCh. 3.2 - Prob. 41AYUCh. 3.2 - Prob. 42AYUCh. 3.2 - Prob. 43AYUCh. 3.2 - 44. Coefficient of Skewness Karl Pearson developed...Ch. 3.2 - Prob. 45AYUCh. 3.2 - 46. More Spread? The data set on the left...Ch. 3.2 - Prob. 47AYUCh. 3.2 - Prob. 48AYUCh. 3.2 - Prob. 49AYUCh. 3.2 - 50. What is meant by the phrase degrees of freedom...Ch. 3.2 - Prob. 51AYUCh. 3.2 - Prob. 52AYUCh. 3.2 - Prob. 53AYUCh. 3.2 - Prob. 54AYUCh. 3.2 - Prob. 55AYUCh. 3.2 - Prob. 56AYUCh. 3.2 - Prob. 57AYUCh. 3.2 - 58. Draw two histograms with different standard...Ch. 3.2 - 59. Fast Pass In 2000, the Walt Disney Company...Ch. 3.3 - 1. Savings Recently, a random sample of 25–34 year...Ch. 3.3 - 2. Square Footage of Housing The frequency...Ch. 3.3 -
3. Household Winter Temperature Often, frequency...Ch. 3.3 - 4. Living in Poverty (See Problem 3.) The...Ch. 3.3 - 5. Multiple Births The following data represent...Ch. 3.3 - 6. Birth Weight The following frequency...Ch. 3.3 - Prob. 7AYUCh. 3.3 - Prob. 8AYUCh. 3.3 - 9. Grade-Point Average Marissa has just completed...Ch. 3.3 - 10. Computing Class Average In Marissa's calculus...Ch. 3.3 - 11. Mixed Chocolates Michael and Kevin want to buy...Ch. 3.3 - Prob. 12AYUCh. 3.3 - Prob. 13AYUCh. 3.3 - 14. Age of Mother The following data represent the...Ch. 3.3 - Prob. 15AYUCh. 3.3 - Prob. 16AYUCh. 3.3 - Prob. 17AYUCh. 3.3 - Prob. 18AYUCh. 3.4 - 1. The ______ represents the number of standard...Ch. 3.4 - Prob. 2AYUCh. 3.4 - 3. ______ divide data sets into fourths.
Ch. 3.4 - 4. The ______ ________ is the range of the middle...Ch. 3.4 - 5. Birth Weights Babies born after a gestation...Ch. 3.4 - 6. Birth Weights Babies born after a gestation...Ch. 3.4 - Prob. 7AYUCh. 3.4 - Prob. 8AYUCh. 3.4 - Prob. 9AYUCh. 3.4 - 10. Batting Champions The highest batting average...Ch. 3.4 - 11. Swim Ryan Murphy, nephew of the author, swims...Ch. 3.4 - 12. Triathlon Roberto finishes a triathlon...Ch. 3.4 - 13. School Admissions A highly selective boarding...Ch. 3.4 - Prob. 14AYUCh. 3.4 - Prob. 15AYUCh. 3.4 - 16. You Explain It! Percentiles Explain the...Ch. 3.4 - 17. You Explain It! Quartiles Violent crimes...Ch. 3.4 - 18. You Explain It! Quartiles One variable that is...Ch. 3.4 - Prob. 19AYUCh. 3.4 - 20. Ogives and Percentiles The following graph is...Ch. 3.4 - 21. SMART Car The following data represent the...Ch. 3.4 - 22. Hemoglobin in Cats The following data...Ch. 3.4 - Prob. 23AYUCh. 3.4 - Prob. 24AYUCh. 3.4 - 25. Fraud Detection As part of its "Customers...Ch. 3.4 - 26. Stolen Credit Card A credit card company has a...Ch. 3.4 - 27. Student Survey of Income A survey of 50...Ch. 3.4 - Prob. 28AYUCh. 3.4 - Prob. 29AYUCh. 3.4 - Prob. 30AYUCh. 3.4 - Prob. 31AYUCh. 3.4 - 32. Write a paragraph that explains the meaning of...Ch. 3.4 - Prob. 33AYUCh. 3.4 - Prob. 34AYUCh. 3.4 - Prob. 35AYUCh. 3.4 - Prob. 36AYUCh. 3.4 - Prob. 37AYUCh. 3.4 - Prob. 38AYUCh. 3.4 - Prob. 39AYUCh. 3.5 - 1. What does the five-number summary consist of?
Ch. 3.5 - 2. In a boxplot, if the median is to the left of...Ch. 3.5 - Prob. 3AYUCh. 3.5 - In Problems 3 and 4, (a) identify the shape of the...Ch. 3.5 - Prob. 5AYUCh. 3.5 - 6. Use the side-by-side boxplots shown to answer...Ch. 3.5 - 7. Exam Scores After giving a statistics exam,...Ch. 3.5 - 8. Speed Reading Jessica enrolled in a course that...Ch. 3.5 - 9. Age at Inauguration The following data...Ch. 3.5 - Prob. 10AYUCh. 3.5 - 11. Age of Mother at Birth The data below...Ch. 3.5 - Prob. 12AYUCh. 3.5 - 13. M&Ms In Problem 25 from Section 3.1, we drew a...Ch. 3.5 - Prob. 14AYUCh. 3.5 - Prob. 15AYUCh. 3.5 - 16. Chips per Cookie Do store-brand chocolate chip...Ch. 3.5 - 17. Putting It Together: Earthquakes Go to...Ch. 3.5 - 18. Putting It Together: Paternal Smoking It is...Ch. 3.5 - Prob. 19AYUCh. 3.5 - Prob. 20AYUCh. 3.5 - 21. Explain how to determine the shape of a...Ch. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - 5. Chebyshev's Inequality and the Empirical Rule...Ch. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - 10. Presidential Inaugural Addresses Ever wonder...Ch. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - 4. (a) Determine the standard deviation of the...Ch. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - 1. Generate a data set consisting of the length of...Ch. 3 - Prob. 2CSCh. 3 - Prob. 3CSCh. 3 - 4. What other information would be useful to...
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