Introductory Statistics (10th Edition)
Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
bartleby

Videos

Textbook Question
Book Icon
Chapter 3.3, Problem 138E

Clocking the Cheetah. The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60 miles per hour (mph) and, according to the online document “Cheetah Conservation in Southern Africa” (Trade & Environment Database (TED) Case Studies, Vol. 8, No. 2) by J. Urbaniak, the cheetah is capable of speeds up to 72 mph. The following table gives the top speeds, in miles per hour, arranged in increasing order, for a sample of 35 cheetahs.

Chapter 3.3, Problem 138E, Clocking the Cheetah. The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly

The sample mean and sample standard deviation of these speeds are 59.53 mph and 4.27 mph, respectively. A histogram of the speeds is bell shaped. Modeling your solutions after those in Example 3.17 on pages 119–121, solve the following problems.

  1. a. Is it reasonable to apply the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean?
  2. b. Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
  3. c. Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
  4. d. Compare your answers in parts (b) and (c).
Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 3.3, Problem 137E
Next
Chapter 3.3, Problem 139E

Chapter 3 Solutions

Introductory Statistics (10th Edition)

Ch. 3.1 - Explain in detail the purpose of a measure of...Ch. 3.1 - Name and describe the three most important...Ch. 3.1 - Of the mean, median, and mode, which is the only...Ch. 3.1 - True or false: The mean, median, and mode can all...Ch. 3.1 - Consider the data set 1, 2, 3, 4, 5, 6, 7, 8, 9....Ch. 3.1 - Complete the following statement: A descriptive...Ch. 3.1 - Floor Space. The U.S. Department of Housing and...Ch. 3.1 - Net Worth. The Board of Governors of the Federal...Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...
Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...Ch. 3.1 - In Exercises 3.93.14, we have provided simple data...Ch. 3.1 - Explain what each symbol represents. a. b. n c. lCh. 3.1 - For a particular population, is the population...Ch. 3.1 - Consider these sample data: x1 = 1, x2 = 7, x3 =...Ch. 3.1 - Consider these sample data: x1 = 12, x2 = 8, x3 =...Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - In Exercises 3.193.26, find the a. mean. b....Ch. 3.1 - Prob. 26ECh. 3.1 - Medieval Cremation Burials. In the article...Ch. 3.1 - Monthly Motorcycle Casualties. The Scottish...Ch. 3.1 - Daily Motorcycle Accidents. The Scottish...Ch. 3.1 - In each of Exercises 3.303.33, a. find n. b....Ch. 3.1 - In each of Exercises 3.303.33, a. find n. b....Ch. 3.1 - In each of Exercises 3.303.33, a. find n. b....Ch. 3.1 - In each of Exercises 3.303.33, a. find n. b....Ch. 3.1 - In each of Exercises 3.343.41, a. determine the...Ch. 3.1 - In each of Exercises 3.343.41, a. determine the...Ch. 3.1 - In each of Exercises 3.343.41, a. determine the...Ch. 3.1 - In each of Exercises 3.343.41, a. determine the...Ch. 3.1 - In each of Exercises 3.343.41, a. determine the...Ch. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - In each of Exercises 3.423.50, use the technology...Ch. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.1 - In each of Exercises 3.513.52, a. use the...Ch. 3.1 - Prob. 52ECh. 3.1 - Food Choice. As you discovered earlier, ordinal...Ch. 3.1 - Outliers and Trimmed Means. Some data sets contain...Ch. 3.1 - Explain the difference between the quantities...Ch. 3.1 - Explain the difference between the quantities xiyi...Ch. 3.2 - Explain the purpose of a measure of variation.Ch. 3.2 - Why is the standard deviation preferable to the...Ch. 3.2 - When you use the standard deviation as a measure...Ch. 3.2 - Darts. The following dartboards represent darts...Ch. 3.2 - Prob. 61ECh. 3.2 - Consider the following four data sets. a. Compute...Ch. 3.2 - Age of U.S. Residents. The U.S. Census Bureau...Ch. 3.2 - Consider the data set 3, 3, 3, 3, 3, 3. a. Guess...Ch. 3.2 - Prob. 65ECh. 3.2 - In Exercises 3.653.70, we have provided simple...Ch. 3.2 - Prob. 67ECh. 3.2 - Prob. 68ECh. 3.2 - Prob. 69ECh. 3.2 - In Exercises 3.653.70, we have provided simple...Ch. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - Prob. 75ECh. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - In Exercises 3.713.78, determine the range and...Ch. 3.2 - Prob. 78ECh. 3.2 - Medieval Cremation Burials. In the article...Ch. 3.2 - Monthly Motorcycle Casualties. The Scottish...Ch. 3.2 - Daily Motorcycle Accidents. The Scottish...Ch. 3.2 - In each of Exercises 3.823.90, use the technology...Ch. 3.2 - Prob. 83ECh. 3.2 - Prob. 84ECh. 3.2 - In each of Exercises 3.823.90, use the technology...Ch. 3.2 - In each of Exercises 3.823.90, use the technology...Ch. 3.2 - Prob. 87ECh. 3.2 - Prob. 88ECh. 3.2 - Prob. 89ECh. 3.2 - In each of Exercises 3.823.90, use the technology...Ch. 3.2 - In each of Exercises 3.913.92, a. use the...Ch. 3.2 - In each of Exercises 3.913.92, a. use the...Ch. 3.2 - Outliers. In Exercise 3.54 on pages 104105, we...Ch. 3.2 - Weekly Salaries. In the following table, we repeat...Ch. 3.2 - Days to Maturity. The first two columns of the...Ch. 3.3 - Discuss the pros and cons of Chebyshevs rule.Ch. 3.3 - If the condition for using the empirical rule is...Ch. 3.3 - Apply Chebyshevs rule with k = 3 to verify that at...Ch. 3.3 - What does Chebyshevs rule say about the percentage...Ch. 3.3 - Prob. 100ECh. 3.3 - Prob. 101ECh. 3.3 - Consider the following data set. a. Draw a graph...Ch. 3.3 - Prob. 103ECh. 3.3 - Prob. 104ECh. 3.3 - Each of the following smooth curves represents the...Ch. 3.3 - Prob. 106ECh. 3.3 - Prob. 107ECh. 3.3 - Prob. 108ECh. 3.3 - Prob. 109ECh. 3.3 - Apply Chebyshevs rule to solve Exercises...Ch. 3.3 - Prob. 111ECh. 3.3 - Prob. 112ECh. 3.3 - Apply Chebyshevs rule to solve Exercises...Ch. 3.3 - Prob. 114ECh. 3.3 - Apply Chebyshevs rule to solve Exercises...Ch. 3.3 - Prob. 116ECh. 3.3 - Apply Chebyshevs rule to solve Exercises...Ch. 3.3 - Prob. 118ECh. 3.3 - Prob. 119ECh. 3.3 - In each of Exercises 3.1203.131, the quantitative...Ch. 3.3 - In each of Exercises 3.1203.131, the quantitative...Ch. 3.3 - In each of Exercises 3.1203.131, the quantitative...Ch. 3.3 - Prob. 123ECh. 3.3 - Prob. 124ECh. 3.3 - Prob. 125ECh. 3.3 - In each of Exercises 3.1203.131, the quantitative...Ch. 3.3 - Prob. 127ECh. 3.3 - Prob. 128ECh. 3.3 - Prob. 129ECh. 3.3 - Prob. 130ECh. 3.3 - Prob. 131ECh. 3.3 - Prob. 132ECh. 3.3 - Prob. 133ECh. 3.3 - Prob. 134ECh. 3.3 - In each of Exercises 3.1343.137, a. construct a...Ch. 3.3 - Prob. 136ECh. 3.3 - In each of Exercises 3.1343.137, a. construct a...Ch. 3.3 - Clocking the Cheetah. The cheetah (Acinonyx...Ch. 3.3 - Malnutrition and Poverty. R. Reifen et al. studied...Ch. 3.3 - In each of Exercises 3.1403.143, the quantitative...Ch. 3.3 - In each of Exercises 3.1403.143, the quantitative...Ch. 3.3 - In each of Exercises 3.1403.143, the quantitative...Ch. 3.3 - Prob. 143ECh. 3.3 - Prob. 144ECh. 3.3 - How many standard deviations to either side of the...Ch. 3.3 - How many standard deviations to either side of the...Ch. 3.3 - A data set consists of 2m2 1 zeros, one m, and...Ch. 3.4 - Identify by name three important groups of...Ch. 3.4 - Identify an advantage that the median and...Ch. 3.4 - Prob. 150ECh. 3.4 - Prob. 151ECh. 3.4 - Prob. 152ECh. 3.4 - Prob. 153ECh. 3.4 - Identify a use of the lower and upper limits.Ch. 3.4 - Prob. 155ECh. 3.4 - Which measure of variation is preferred when a....Ch. 3.4 - Fill in the blanks: Roughly, when arranged in...Ch. 3.4 - Fill in the blank: Roughly, when arranged in...Ch. 3.4 - Prob. 159ECh. 3.4 - Prob. 160ECh. 3.4 - Prob. 161ECh. 3.4 - Prob. 162ECh. 3.4 - Prob. 163ECh. 3.4 - Prob. 164ECh. 3.4 - Prob. 165ECh. 3.4 - Prob. 166ECh. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - Prob. 169ECh. 3.4 - Prob. 170ECh. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - Prob. 172ECh. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - Prob. 174ECh. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - In Exercises 3.1673.176, a. obtain and interpret...Ch. 3.4 - Prob. 177ECh. 3.4 - Starting Salaries. The National Association of...Ch. 3.4 - Obesity. Researchers in obesity wanted to compare...Ch. 3.4 - Prob. 180ECh. 3.4 - Sickle Cell Disease. A study published by E....Ch. 3.4 - Prob. 182ECh. 3.4 - Prob. 183ECh. 3.4 - Prob. 184ECh. 3.4 - Prob. 185ECh. 3.4 - Prob. 186ECh. 3.4 - Prob. 187ECh. 3.4 - Prob. 188ECh. 3.4 - Prob. 189ECh. 3.4 - Prob. 190ECh. 3.4 - In each of Exercises 3.1883.191, a. use the...Ch. 3.5 - Identify each quantity as a parameter or a...Ch. 3.5 - Although, in practice, sample data are generally...Ch. 3.5 - Microwave Popcorn. For a given brand of microwave...Ch. 3.5 - Fill in the following blanks. a. A standardized...Ch. 3.5 - Identify the statistic that is used to estimate a....Ch. 3.5 - Augusta National Golf Course. Earlier in this...Ch. 3.5 - Augusta National Golf Course. Earlier in this...Ch. 3.5 - Heights of Basketball Players. In Section 3.2, we...Ch. 3.5 - Heights of Basketball Players. This exercise...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - In Exercises 3.2013.206, we have provided simple...Ch. 3.5 - Age of U.S. Residents. The U.S. Census Bureau...Ch. 3.5 - Chinchillidae Range. The family of mammals called...Ch. 3.5 - Atlantic Basin Hurricanes. The Tropical Cyclone...Ch. 3.5 - Dallas Mavericks. From the ESPN website, in the...Ch. 3.5 - STD Surveillance. The Centers for Disease Control...Ch. 3.5 - Dart Doubles. The top two players in the 20012002...Ch. 3.5 - Doing Time. According to Compendium of Federal...Ch. 3.5 - Gestation Periods of Humans. Gestation periods of...Ch. 3.5 - Frog Thumb Length. W. Duellman and J. Kohler...Ch. 3.5 - Prob. 216ECh. 3.5 - Low Gas Mileage. Suppose you buy a new car whose...Ch. 3.5 - Exam Scores. Suppose that you take an exam with...Ch. 3.5 - Prob. 219ECh. 3.5 - Consider a data set with m observations. If the...Ch. 3.5 - Prob. 221ECh. 3.5 - Stewed Tomatoes. A company produces cans of stewed...Ch. 3.5 - Prob. 223ECh. 3.5 - SAT Scores. Each year, thousands of high school...Ch. 3.5 - Copperhead and Tiger Snakes. S. Fearn et al....Ch. 3 - Define a. descriptive measures. b. measures of...Ch. 3 - Identify the two most commonly used measures of...Ch. 3 - Among the measures of center discussed, which is...Ch. 3 - Identify the most appropriate measure of variation...Ch. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - Prob. 7RPCh. 3 - Prob. 8RPCh. 3 - A quantitative data set of size 87 has mean 80 and...Ch. 3 - Prob. 10RPCh. 3 - Prob. 11RPCh. 3 - Prob. 12RPCh. 3 - Regarding outliers: a. What is an outlier? b....Ch. 3 - Regarding z-scores: a. How is a z-score obtained?...Ch. 3 - Party Time. An integral part of doing business in...Ch. 3 - Duration of Marriages. The National Center for...Ch. 3 - Causes of Death. The U.S. National Center for...Ch. 3 - Prob. 18RPCh. 3 - Prob. 19RPCh. 3 - Prob. 20RPCh. 3 - Prob. 21RPCh. 3 - Prices of New Mobile Homes. The U.S. Census Bureau...Ch. 3 - Millionaires. Refer to Problem 20. The ages of the...Ch. 3 - Prob. 24RPCh. 3 - A Better Golf Tee? An independent golf equipment...Ch. 3 - Prob. 26RPCh. 3 - UC Enrollment. According to the Statistical...Ch. 3 - Prob. 28RPCh. 3 - U.S. Divisions and Regions. The U.S. Census Bureau...Ch. 3 - Prob. 30RPCh. 3 - In Problems 3032, use the technology of your...Ch. 3 - In Problems 3032, use the technology of your...Ch. 3 - Vegetarians and Omnivores. Philosophical and...Ch. 3 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 3 - At the beginning of this chapter (page 94), we...
Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
SEE MORE TEXTBOOKS
Graph Theory: Euler Paths and Euler Circuits; Author: Mathispower4u;https://www.youtube.com/watch?v=5M-m62qTR-s;License: Standard YouTube License, CC-BY
WALK,TRIAL,CIRCUIT,PATH,CYCLE IN GRAPH THEORY; Author: DIVVELA SRINIVASA RAO;https://www.youtube.com/watch?v=iYVltZtnAik;License: Standard YouTube License, CC-BY