Understanding Basic Statistics
8th Edition
ISBN: 9781337558075
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 2.3, Problem 1P
Cowboys: Longevity How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in west Texas and southeastern New Mexico around the year 1890. A sample of 32 cowboys gave the following yean of longevity:
| 58 | 52 | 68 | 86 | 72 | 66 | 97 | 89 | 84 | 91 | 91 |
| 92 | 66 | 68 | 87 | 86 | 73 | 61 | 70 | 75 | 72 | 73 |
| 85 | 84 | 90 | 57 | 77 | 76 | 84 | 93 | 58 | 47 |
(a) Make a stem-and-leaf display for these data.
(b) Interpretation Consider the following quote from Baron von Richthofen in his Cattle Raising on the Plaint of North America: “Cowboys are to be found among the sons of the best families. The truth is probably that most were not a drunken, gambling lot. quick to draw and fire their pistols." Does the data distribution of longevity lend credence to this quote?
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Solve the following LP problem using the Extreme Point Theorem:
Subject to:
Maximize Z-6+4y
2+y≤8
2x + y ≤10
2,y20
Solve it using the graphical method.
Guidelines for preparation for the teacher's
questions:
Understand the basics of Linear Programming (LP)
1. Know how to formulate an LP model.
2. Be able to identify decision variables, objective
functions, and constraints.
Be comfortable with graphical solutions
3. Know how to plot feasible regions and find extreme
points.
4. Understand how constraints affect the solution space.
Understand the Extreme Point Theorem
5. Know why solutions always occur at extreme points.
6. Be able to explain how optimization changes with
different constraints.
Think about real-world implications
7. Consider how removing or modifying constraints
affects the solution.
8. Be prepared to explain why LP problems are used in
business, economics, and operations research.
ged the variance for group 1) Different groups
of male stalk-eyed flies were raised on different diets: a high nutrient corn diet vs. a
low nutrient cotton wool diet. Investigators wanted to see if diet quality influenced
eye-stalk length. They obtained the following data:
d
Diet
Sample Mean Eye-stalk Length
Variance in Eye-stalk
d
size, n
(mm)
Length (mm²)
Corn (group 1)
21
2.05
0.0558
Cotton (group 2)
24
1.54
0.0812
=205-1.54-05T
a) Construct a 95% confidence interval for the difference in mean eye-stalk length
between the two diets (e.g., use group 1 - group 2).
Chapter 2 Solutions
Understanding Basic Statistics
Ch. 2.1 - Statistical Literacy What is the difference...Ch. 2.1 - Statistical Literacy A data set has values ranging...Ch. 2.1 - Statistical Literacy A data set has values ranging...Ch. 2.1 - Statistical Literacy A data set has value ranging...Ch. 2.1 - Basic Computation: Class Limits A data set with...Ch. 2.1 - Basic Computation: Class limits A data set with...Ch. 2.1 - Interpretation You are manager of a specialty...Ch. 2.1 - Critical Thinking A web site rated 100 colleges...Ch. 2.1 - Critical Thinking Look at the histogram in Figure...Ch. 2.1 - Critical Thinking The following data represent...
Ch. 2.1 - Interpretation Histograms of random sample data...Ch. 2.1 - Interpretation The following histograms are based...Ch. 2.1 - Interpretation The ogives shown are based on U.S...Ch. 2.1 - Critical Thinking The following ogives come from...Ch. 2.1 - For Problems 15-20. use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20. use the specified number of...Ch. 2.1 - Expand Your knowledge: Decimal Data The fallowing...Ch. 2.1 - Decimal Data: Batting Averages The following data...Ch. 2.1 - Expand Your Knowledge: Dotplot another display...Ch. 2.1 - 24. Dotplot: Sled Dog Racing Make a dotplot for...Ch. 2.1 - Prob. 25PCh. 2.2 - 1. Interpretation Consider graph (a) of Reasons...Ch. 2.2 - Interpretation Look at graph (b) of Reasons People...Ch. 2.2 - Critical Thinking A personnel office is gathering...Ch. 2.2 - Critical Thinking Your friend is thinking about...Ch. 2.2 - Education: Does College Pay Off? It is costly in...Ch. 2.2 - Interpretation Consider the two graphs depicting...Ch. 2.2 - Commercial Fishing: Gulf of Alaska It's not an...Ch. 2.2 - Archaeology: Ireland Commercial dredging...Ch. 2.2 - Lifestyle: Hide the Mess! A survey of 1000 adults...Ch. 2.2 - Education: College Professors' Time How do college...Ch. 2.2 - FBI Report: Hawaii In the Aloha state, you are...Ch. 2.2 - Driving: Bad Habits Driving would be more pleasant...Ch. 2.2 - 13Ecology: Lakes Pyramid Lake, Nevada, is...Ch. 2.2 - Vital Statistics: Height How dies average height...Ch. 2.2 - Expand Your Knowledge Donut Pie Charts The book...Ch. 2.2 - Technology: Cars The following cluster bar graph...Ch. 2.3 - Cowboys: Longevity How long did real cowboys live?...Ch. 2.3 - Ecology: Habitat Wetlands offer a diversity of...Ch. 2.3 - Health Care: Hospitals The American Medical...Ch. 2.3 - Health Care: Hospitals Using the number of...Ch. 2.3 - Expand Your knowledge: Split Stem The Boston...Ch. 2.3 - Split Stem: Golf The U.S. Open Golf Tournament was...Ch. 2.3 - Are cigarettes bad for people? Cigarette smoking...Ch. 2.3 - Are cigarettes bad for people? Cigarette smoking...Ch. 2.3 - Are cigarettes bad for people? Cigarette smoking...Ch. 2.3 - Expand Your Knowledge: Back-to-Back Stem Plot In...Ch. 2 - Terminology Consider the following graph types:...Ch. 2 - Terminology Whichtype(s) of data can be shown in a...Ch. 2 - Terminology Which type(s) of data can be shown in...Ch. 2 - Terminology Which graphical display shows each...Ch. 2 - Terminology If a histogram is skewed left, more of...Ch. 2 - Terminology How are data plotted in a time-series...Ch. 2 - Critical Thinking Consider these types of graphs:...Ch. 2 - Critical Thinking A consumer interest group is...Ch. 2 - Critical Thinking Describe how data outliers might...Ch. 2 - Expand Your Knowledge How are dotplots and...Ch. 2 - Focus Problem: Fuel Economy Solve the focus...Ch. 2 - Criminal Justice: Prisoners The time plot in...Ch. 2 - IRS: Tax Returns Almost everyone files (or will...Ch. 2 - Law Enforcement: DUI Driving under the influence...Ch. 2 - Agriculture: Apple Trees The following data...Ch. 2 - Law: Corporation Lawsuits Many people say the...Ch. 2 - Archaeology: Tree-King DataThe Sand Canyon...Ch. 2 - Interpretation A Harm Poll surveyed 2085 U.S....Ch. 2 - Examine Figure 2-20, Everyone Agrees: Slobs Make...Ch. 2 - Examine Figure 2-21, Global Teen Worries. How many...Ch. 2 - In your own words, explain the differences among...Ch. 2 - What do we mean when we say a histogram is skewed...Ch. 2 - Discuss the statement that stem-and-leaf displays...Ch. 2 - The following tables show the first-round winning...Ch. 2 - The following tables show the first-round winning...Ch. 2 - The Following tables show the first-round winning...
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