Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 3RE
Chief Justices The following data represent the ages of chief justices of the U.S. Supreme Court when they were appointed.
Justice | Age |
John Jay | 44 |
John Rutledge | 56 |
Oliver Ellsworth | 51 |
John Marshall | 46 |
Roger B. Taney | 59 |
Salmon P. Chase | 56 |
Morrison R. Waite | 58 |
Melville W. Fuller | 55 |
Edward D. White | 65 |
William H. Taft | 64 |
Charles E. Hughes | 68 |
Harlan F. Stone | 69 |
Frederick M. Vinson | 56 |
Earl Warren | 62 |
Warren E. Burger | 62 |
William H. Rehnquist | 62 |
John G. Roberts | 50 |
Source: Information Please Almanac |
- a. Determine the population
mean , median, andmode ages. - b. Determine the
range and population standard deviation ages. - c. Obtain two simple random samples of size 4, and determine the sample mean and sample standard deviation ages.
Expert Solution & Answer
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Check out a sample textbook solutionStudents have asked these similar questions
Instruction: Construct the boxplot of the ages of
100 people.
Ordered array prepared from 100 ages
17 23
26 29
32 33 35 38 43 50
18 24
26
30
32 34
35 39 43 51
20 25
26
30
32 34
35
39 43
51
21 25
26 30
32
34
36 39 44
52
21
25 27
30 32
34 36 40 45 53
21 25
28 30 33
34 36 40 45 55
22 25
28 31
33
34
36 40 45 57
22
25 28
31
33
34
37
40 46
58
23 25
29 31
33
34 38 41 48 60
23 26 29 31
33 35 38 41 49 63
Note: 17 is the youngest in the sample and 63 is the
Oldest.
The following table presents the ages of
9
U.S. presidents and their wives on the first day of their presidencies.
Name
Her Age
His Age
George W. and Laura Bush
54
54
George and Barbara Bush
55
64
Jimmy and Rosalynn Carter
49
52
Gerald and Betty Ford
56
61
Richard and Pat Nixon
56
56
Lyndon and Lady Bird Johnson
50
55
John and Jacqueline Kennedy
31
43
Dwight and Mamie Eisenhower
56
62
Harry and Bess Truman
60
60
Construct a scatterplot of the presidents' age
y
versus the first ladies' ages
x
. Plot only the points that are not outliers.
First Lady's Age (years)
President's Age (years)
y
5
10
15
20
25
30
35
40
45
50
55
60
65
70
x
5
10
15
20
25
30
35
40
45
50
55
60
65
70
0
Create an appropriate chart for the following.
(a) The College of Business Administration, showing where their freshmen students came from.
(b) What colleges students from Illinois went into as freshmen.
(c) The College of Health Sciences, showing where their freshmen students came from.
Chapter 3 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 3.1 - What does it mean if a statistic is resistant?Ch. 3.1 - In the 2014 Current Population Survey conducted by...Ch. 3.1 - The U.S. Department of Housing and Urban...Ch. 3.1 - A histogram of a set of data indicates that the...Ch. 3.1 - If a data set contains 10,000 values arranged in...Ch. 3.1 - True or False: A data set will always have exactly...Ch. 3.1 - In Problems 710, find the population mean or...Ch. 3.1 - In Problems 710, find the population mean or...Ch. 3.1 - In Problems 710, find the population mean or...Ch. 3.1 - In Problems 710, find the population mean or...
Ch. 3.1 - For Super Bowl XLVII, there were 82,566 tickets...Ch. 3.1 - The median for the given set of six ordered data...Ch. 3.1 - Miles per Gallon The following data represent the...Ch. 3.1 - Exam Time The following data represent the amount...Ch. 3.1 - NW Concrete Mix A certain type of concrete mix is...Ch. 3.1 - Flight Time The following data represent the...Ch. 3.1 - For each of the three histograms shown, determine...Ch. 3.1 - Match the histograms shown to the summary...Ch. 3.1 - Exam Scores The data in the next column represent...Ch. 3.1 - pH in Water The acidity or alkalinity of a...Ch. 3.1 - NW Pulse Rates The following data represent the...Ch. 3.1 - Travel Time The data represent the travel time (in...Ch. 3.1 - NW Connection Time A histogram of the connection...Ch. 3.1 - Journal Costs A histogram of the annual...Ch. 3.1 - MMs The following data represent the weights (in...Ch. 3.1 - Old Faithful We have all heard of the Old Faithful...Ch. 3.1 - Hours Working A random sample of 25 college...Ch. 3.1 - Prob. 28AYUCh. 3.1 - NW Political Views A sample of 30 registered...Ch. 3.1 - Prob. 30AYUCh. 3.1 - Prob. 31AYUCh. 3.1 - Mr. Zuro finds the mean height of all 14 students...Ch. 3.1 - Missing Exam Grade A professor has recorded exam...Ch. 3.1 - Prob. 34AYUCh. 3.1 - Blood Alcohol Concentration Go to...Ch. 3.1 - Prob. 36AYUCh. 3.1 - Linear Transformations Benjamin owns a small...Ch. 3.1 - Linear Transformations Use the five test scores of...Ch. 3.1 - Trimmed Mean Another measure of central tendency...Ch. 3.1 - Prob. 40AYUCh. 3.1 - Putting It Together: Shape, Mean and Median As...Ch. 3.1 - FICO Scores The Fair Isaacs Corporation has...Ch. 3.1 - Why is the median resistant, but the mean is not?Ch. 3.1 - Prob. 44AYUCh. 3.1 - Net Worth According to a Credit Suisse Survey, the...Ch. 3.1 - Prob. 46AYUCh. 3.1 - In January 2016, the mean amount of money lost per...Ch. 3.1 - For each of the following situations, determine...Ch. 3.2 - The sum of the deviations about the mean always...Ch. 3.2 - The standard deviation is used in conjunction with...Ch. 3.2 - True or False: When comparing two populations, the...Ch. 3.2 - True or False: Chebyshevs Inequality applies to...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - Miles per Gallon The following data represent the...Ch. 3.2 - Exam Time The following data represent the amount...Ch. 3.2 - NW Concrete Mix A certain type of concrete mix is...Ch. 3.2 - Flight Time The following data represent the...Ch. 3.2 - Which histogram depicts a higher standard...Ch. 3.2 - Match the histograms in the next column to the...Ch. 3.2 - Exam Scores The following data represent exam...Ch. 3.2 - pH in Water The acidity or alkalinity of a...Ch. 3.2 - NW Pulse Rates The data on the following page...Ch. 3.2 - Travel Time The following data represent the...Ch. 3.2 - A Fish Story Ethan and Drew went on a 10-day...Ch. 3.2 - Prob. 22AYUCh. 3.2 - The Empirical Rule The following data represent...Ch. 3.2 - The Empirical Rule The following data represent...Ch. 3.2 - Prob. 25AYUCh. 3.2 - Prob. 26AYUCh. 3.2 - Prob. 27AYUCh. 3.2 - Temperatures It is well known that San Diego has...Ch. 3.2 - NW The Empirical Rule The StanfordBinet...Ch. 3.2 - The Empirical Rule SAT Math scores have a...Ch. 3.2 - The Empirical Rule The weight, in grams, of the...Ch. 3.2 - The Empirical Rule The distribution of the length...Ch. 3.2 - Which Professor Suppose Professor Alpha and...Ch. 3.2 - Larry Summers Lawrence Summers (former Secretary...Ch. 3.2 - NW Chebyshevs Inequality In December 2014, the...Ch. 3.2 - Chebyshevs Inequality According to the U.S. Census...Ch. 3.2 - Prob. 37AYUCh. 3.2 - Linear Transformations Benjamin owns a small...Ch. 3.2 - Prob. 39AYUCh. 3.2 - Prob. 40AYUCh. 3.2 - Prob. 41AYUCh. 3.2 - Blocking and Variability Blocking refers to the...Ch. 3.2 - Prob. 43AYUCh. 3.2 - Prob. 44AYUCh. 3.2 - Prob. 45AYUCh. 3.2 - More Spread? The data set on the left represents...Ch. 3.2 - Prob. 47AYUCh. 3.2 - Prob. 48AYUCh. 3.2 - Prob. 49AYUCh. 3.2 - What is meant by the phrase degrees of freedom as...Ch. 3.2 - Prob. 51AYUCh. 3.2 - Prob. 52AYUCh. 3.2 - What makes the range less desirable than the...Ch. 3.2 - Prob. 54AYUCh. 3.2 - Prob. 55AYUCh. 3.2 - Prob. 56AYUCh. 3.2 - Prob. 57AYUCh. 3.2 - Prob. 59AYUCh. 3.3 - NW Savings Recently, a random sample of 2534 year...Ch. 3.3 - Square Footage of Housing The frequency...Ch. 3.3 - Household Winter Temperature Often, frequency...Ch. 3.3 - Living in Poverty (See Problem 3.) The following...Ch. 3.3 - Multiple Births The following data represent the...Ch. 3.3 - Birth Weight The following frequency distribution...Ch. 3.3 - Cigarette Tax Rates Use the frequency distribution...Ch. 3.3 - Dividend Yield Use the frequency distribution...Ch. 3.3 - NW Grade-Point Average Marissa has just completed...Ch. 3.3 - Computing Class Average In Marissas calculus...Ch. 3.3 - Mixed Chocolates Michael and Kevin want to buy...Ch. 3.3 - Nut Mix Michael and Kevin return to the candy...Ch. 3.3 - Population The data represent the male and female...Ch. 3.3 - Age of Mother The following data represent the age...Ch. 3.3 - Approximate the median of the frequency...Ch. 3.3 - Prob. 16AYUCh. 3.3 - Prob. 17AYUCh. 3.3 - Determine the modal class of the frequency...Ch. 3.4 - The _____ represents the number of standard...Ch. 3.4 - The _____ _____ of a data set is a value such that...Ch. 3.4 - _____ divide data sets into fourths.Ch. 3.4 - Prob. 4AYUCh. 3.4 - Prob. 5AYUCh. 3.4 - Prob. 6AYUCh. 3.4 - Men versus Women The average 20- to 29-year-old...Ch. 3.4 - Prob. 8AYUCh. 3.4 - ERA Champions In 2014, Clayton Kershaw of the Los...Ch. 3.4 - Batting Champions The highest batting average ever...Ch. 3.4 - Prob. 11AYUCh. 3.4 - Triathlon Roberto finishes a triathlon (750-meter...Ch. 3.4 - School Admissions A highly selective boarding...Ch. 3.4 - Quality Control A manufacturer of bolts has a...Ch. 3.4 - Prob. 15AYUCh. 3.4 - You Explain It! Percentiles Explain the meaning of...Ch. 3.4 - You Explain It! Quartiles Violent crimes include...Ch. 3.4 - You Explain It! Quartiles One variable that is...Ch. 3.4 - Ogives and Percentiles The following graph is an...Ch. 3.4 - Ogives and Percentiles The following graph is an...Ch. 3.4 - NW SMART Car The data on the following page...Ch. 3.4 - Hemoglobin in Cats The following data represent...Ch. 3.4 - Rate of Return of Google The following data...Ch. 3.4 - CO2 Emissions The following data represent the...Ch. 3.4 - Fraud Detection As part of its Customers First...Ch. 3.4 - Stolen Credit Card A credit card company has a...Ch. 3.4 - Student Survey of Income A survey of 50 randomly...Ch. 3.4 - Student Survey of Entertainment Spending A survey...Ch. 3.4 - Prob. 29AYUCh. 3.4 - Travel Time Use the results of Problem 22 in...Ch. 3.4 - Fraud Detection Revisited Use the fraud-detection...Ch. 3.4 - Write a paragraph that explains the meaning of...Ch. 3.4 - Suppose you received the highest score on an exam....Ch. 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 - What does the five-number summary consist of?Ch. 3.5 - In a boxplot, if the median is to the left of the...Ch. 3.5 - Prob. 3AYUCh. 3.5 - In Problems 3 and 4, (a) identify the shape of the...Ch. 3.5 - Use the side-by-side boxplots shown to answer the...Ch. 3.5 - Use the side-by-side boxplots shown to answer the...Ch. 3.5 - Exam Scores After giving a statistics exam,...Ch. 3.5 - Prob. 8AYUCh. 3.5 - Prob. 9AYUCh. 3.5 - Carpoolers The following data represent the...Ch. 3.5 - NW Age of Mother at Birth The data below represent...Ch. 3.5 - Prob. 12AYUCh. 3.5 - Prob. 13AYUCh. 3.5 - Prob. 14AYUCh. 3.5 - Prob. 15AYUCh. 3.5 - Prob. 16AYUCh. 3.5 - Putting It Together: Earthquakes Go to...Ch. 3.5 - Putting It Together: Paternal Smoking It is...Ch. 3.5 - Retain Your Knowledge: Decision Making and Hunger...Ch. 3.5 - Prob. 20AYUCh. 3.5 - Prob. 21AYUCh. 3 - Muzzle Velocity The following data represent the...Ch. 3 - Price of Chevy Cobalts The following data...Ch. 3 - Chief Justices The following data represent the...Ch. 3 - Number of Tickets Issued As part of a statistics...Ch. 3 - Chebyshevs Inequality and the Empirical Rule...Ch. 3 - Prob. 6RECh. 3 - Weighted Mean Michael has just completed his first...Ch. 3 - Weights of Males versus Females According to the...Ch. 3 - Halladay No-No On October 6, 2010, Roy Halladay of...Ch. 3 - Presidential Inaugural Addresses Ever wonder how...Ch. 3 - You Explain It! Percentiles According to the...Ch. 3 - Skinfold Thickness Procedure One method of...Ch. 3 - The following data represent the amount of time...Ch. 3 - The Federal Bureau of Investigation classifies...Ch. 3 - Determine the range of the homework data from...Ch. 3 - a. Determine the standard deviation of the...Ch. 3 - In a random sample of 250 toner cartridges, the...Ch. 3 - The following data represent the length of time...Ch. 3 - Prob. 7CTCh. 3 - An engineer is studying bearing failures for two...Ch. 3 - The following data represent the weights (in...Ch. 3 - Armando is filling out a college application that...Ch. 3 - According to the National Center for Health...Ch. 3 - Prob. 12CTCh. 3 - Answer the following based on the histograms shown...Ch. 3 - Explain how the standard deviation measures...Ch. 3 - Generate a data set consisting of the length of...Ch. 3 - Prob. 2CSCh. 3 - Prob. 3CS
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