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Questions and Answers of
Statistics
The data set has size 80. Approximately how many observations lie within two standard deviations to either side of the mean?The quantitative data set under consideration has roughly a bell-shaped
The data set has size 60. Approximately how many observations lie within three standard deviations to either side of the mean?The quantitative data set under consideration has roughly a bell-shaped
The data set has size 50. Approximately how many observations lie within one standard deviation to either side of the mean?The quantitative data set under consideration has roughly a bell-shaped
The data set has 80 observations and has mean 30 and standard deviation 5. Approximately how many observations lie between 20 and 40?The quantitative data set under consideration has roughly a
The data set has 250 observations and has mean 100 and standard deviation 16. Approximately how many observations lie between 52 and 148?The quantitative data set under consideration has roughly a
The data set has 200 observations and has mean 20 and standard deviation 4. Approximately how many observations lie between 16 and 24?The quantitative data set under consideration has roughly a
The data set has 150 observations and has mean 35 and standard deviation 4. Approximately how many observations lie between 31 and 39?The quantitative data set under consideration has roughly a
Consider the following sample of exam scores, arranged in increasing order.The sample mean and sample standard deviation of these exam scores are 85 and 16.1, respectively. Modeling your solutions
Objects such as asteroids and comets that come into proximity with the Earth are called near-Earth objects (NEOs). The National Aeronautics and Space Administration (NASA) tracks and catalogues all
Dementia is the loss of intellectual and social abilities severe enough to interfere with judgment, behavior, and daily functioning. Alzheimer's disease is the most common type of dementia. In the
Iron Deficiency? Iron is essential to most life forms and to normal human physiology. It is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron are
Body mass index (BMI) is a measure of body fat based on height and weight. According to the document Dietary Guidelines for Americans published by the U.S. Department of Agriculture and the U.S.
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
R. Reifen et al. studied various nutritional measures of Ethiopian school children and published their findings in the paper "Ethiopian-Born and Native Israeli School Children Have Different Growth
One of the larger species of tarantulas is the Grammostola mollicoma, whose common name is the Brazilian giant tawny red. A tarantula has two body parts. The anterior part of the body is covered
A sample of fifth-grade classes was studied in the journal article "Predicting Feelings of School Safety for Lower, Middle, and Upper School Students" (Applied Psychology in Criminal Justice, Vol. 7,
The PGA TOUR provides various statistics on performance of players in the Professional Golfers' Association of America. For the week ending September 9, 2013, the year-to-date leader for longest
In 1905, R. Pearl published the article "Biometrical Studies on Man. I. Variation and Correlation in Brain Weight" (Biometrika, Vol. 4, pp. 13-104) in which he studied the brain weights of Swedish
What does Chebyshev's rule say about the percentage of observations that lie within one standard deviation to either side of the mean? Discuss your answer.
How many standard deviations to either side of the mean must we go to ensure that, for any data set, at least 99% of the observations lie within?
How many standard deviations to either side of the mean must we go to ensure that, for any data set, at least 95% of the observations lie within?
A data set consists of 2m2 − 1 zeros, one −m, and one m.a. Compute ¯ x and s for this data set.b. How many standard deviations from the mean is the observation m?c. Assuming that m ≥ 4, what
State pertinent properties of boxplots for symmetric, left skewed, and right-skewed distributions.
Find the descriptive measures for 1, 2, 3, 4.a. Obtain the quartiles.b. Determine the interquartile range.c. Find the five-number summary.
Find the descriptive measures for 1, 2, 3, 4, 1, 2, 3, 4.a. Obtain the quartiles.b. Determine the interquartile range.c. Find the five-number summary.
Find the descriptive measures for 1, 2, 3, 4, 5.a. Obtain the quartiles.b. Determine the interquartile range.c. Find the five-number summary.
Find the descriptive measures for 1, 2, 3, 4, 5, 1, 2, 3, 4, 5.a. Obtain the quartiles.b. Determine the interquartile range.c. Find the five-number summary.
Find the descriptive measures for 1, 2, 3, 4, 5, 6.a. Obtain the quartiles.b. Determine the interquartile range.c. Find the five-number summary.
Find the descriptive measures for 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6.a. Obtain the quartiles.b. Determine the interquartile range.c. Find the five-number summary.
Find the descriptive measures for 1, 2, 3, 4, 5, 6, 7.a. Obtain the quartiles.b. Determine the interquartile range.c. Find the five-number summary.
Find the descriptive measures for 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7.a. Obtain the quartiles.b. Determine the interquartile range.c. Find the five-number summary.
An article by D. Schaefer et al. (Journal of Tropical Ecology, Vol. 16, pp. 189-207) reported on a long-term study of the effects of hurricanes on tropical streams of the Luquillo Experimental Forest
In the article, "Assessing Claims Made by a Pizza Chain" by P. Dunn, (Journal of Statistics Education, Vol. 20, No. 1, pp. 1-19), a sample of pizzas from Domino's was collected. The intention of the
Water parks are a huge summer attraction for vacationers in the United States. The Global Attractions Attendance Report, published by the Themed Entertainment Association, provides the attendance
The National Association of Colleges and Employers (NACE) conducts surveys of salary offers to new college graduates and publishes the results in Salary Survey. The following diagram provides
Researchers in obesity wanted to compare the effectiveness of dieting with exercise against dieting without exercise. Seventy-three patients were randomly divided into two groups. Group 1, composed
In the article, "Length of The Beatles' Songs" (Chance, Vol. 25, No. 1, pp. 30-33), T. Koyama discusses aspects and interpretations of the lengths of songs by The Beatles. Data on the length, in
As reported by the U.S. Census Bureau in Educational Attainment in the United States, the percentage of adults in each state and the District of Columbia who have completed high school is provided on
Anthropologists are still trying to unravel themystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they
Fill in the following blanks.a. A standardized variable always has mean ________ and standard deviation ________.b. The z-score corresponding to an observed value of a variable tells you ________.c.
In Section 3.2, we analyzed the heights of the starting five players on each of two men's college basketball teams. The heights, in inches, of the players on Team II are 67, 72, 76, 76, and 84.
This exercise requires that you have first done Exercise 3.199. In Example 3.12 on page 109, we found that, considering the five starting players on Team II a sample of all male starting college
The U.S. Census Bureau collects information about the ages of people in the United States. Results are published in Current Population Reports. a. Identify the variable and population under
The family of mammals called Chinchillidae contains the chinchilla and viscachas, which are large South American rodents. The article, "Species Richness and Distribution of Neotropical Rodents, with
The Tropical Cyclone Report, a publication of the National Hurricane Center, contains comprehensive information on each tropical cyclone, including synoptic history, meteorological statistics,
From the ESPN website, in the Dallas Mavericks Roster, we obtained the following ages, in years, for the players on that basketball team for the 2013-2014 season.Obtain the following parameters for
The Centers for Disease Control and Prevention compiles reported cases and rates of diseases in United States cities and outlying areas. In a document titled Sexually Transmitted Disease
From the ESPN website, in the Dallas Mavericks Roster, we obtained the following weights, in pounds, for the players on that basketball team for the 2013-2014 season.Use the technology of your choice
S. Fearn et al. compare two types of snakes in the article "Body Size and Trophic Divergence of Two Large Sympatric Elapic Snakes in Tasmania" (Australian Journal of Zoology, Vol. 60, No. 3, pp.
Each year, Forbes magazine compiles a list of the 400 richest Americans. As of September 19, 2012, the top 10 on the list are as shown in the following table.Person Wealth ($ billions)Bill Gates
Tablet personal computers such as iPad and Kindle Fire are one-piece portable computers that typically offer a touch screen. Tablets are available in different sizes but generally offer a screen that
The English rock band, The Beatles, was formed in Liverpool in 1960. There are 12 studio albums that are considered part of their core catalogue. In the article, "Length of The Beatles' Songs"
From the TVbytheNumbers website, we obtained the networks for the top 20 primetime broadcast TV shows by total viewership for the week ending August 18, 2013.a. Determine the mode of the data.b.
From NCAA.com-the official Web site for NCAA sports-we obtained the National Collegiate Athletic Association wrestling champions for the years 1989-2013 in the document "Championship History". They
From Wikipedia, we found that the law schools of the justices of the U.S. Supreme Court, as of September 9, 2013, are as follows.a. Determine the mode of the data.b. Decide whether it would be
The Department of Justice and the Federal Bureau of Investigation publish a compilation on crime statistics for the United States in Crime in the United States. The following table provides a
The Higher Education Research Institute of the University of California, Los Angeles, publishes information on characteristics of incoming college freshmen in The American Freshman. In 2000, 27.7% of
The Association of American Medical Colleges (AAMC) compiles data on medical school faculty and publishes the results in AAMC Faculty Roster. The following table presents a frequency distribution of
The Japan Automobile Manufacturers Association provides data on exported vehicles in Motor Vehicle Statistics of Japan. In 2010, cars, trucks, and buses constituted 88.3%, 9.3%, and 2.4% of vehicle
The American Hospital Association conducts annual surveys of hospitals in the United States and publishes its findings in AHA Hospital Statistics. Data on hospital type for U.S. registered hospitals
Research by W. Clark and L. Midanik (Alcohol Consumption and Related Problems: Alcohol and Health Monograph 1. DHHS Pub. No. (ADM) 82-1190) examined, among other issues, alcohol consumption patterns
As reported by the U.S. Census Bureau in Educational Attainment in the United States, the percentage of adults in each state and the District of Columbia who have completed high school is provided on
As reported by the U.S. Census Bureau in Educational Attainment in the United States, the percentage of adults in each state and the District of Columbia who have completed a bachelor's degree is
When you use the standard deviation as a measure of variation, what is the reference point?
The U.S. Department of Housing and Urban Development compiles information on new, privately owned single family houses. According to the document Characteristics of New Housing, in 2012 the mean
An article by D. Schaefer et al. (Journal of Tropical Ecology, Vol. 16, pp. 189-207) reported on a long-term study of the effects of hurricanes on tropical streams of the Luquillo Experimental Forest
Each year, tornadoes that touchdown are recorded by the Storm Prediction Center and published in Monthly Tornado Statistics. The following table gives the number of tornadoes that touched down in the
In one Winter Olympics, Michelle Kwan competed in the Short Program ladies singles event. From nine judges, she received scores ranging from 1 (poor) to 6 (perfect). The following table provides the
Each year, Forbes magazine compiles a list of the 400 richest Americans. As of September 19, 2012, the top 10 on the list are as shown in the following table.Person Wealth ($ billions)Bill Gates
Tablet personal computers such as iPad and Kindle Fire are one-piece portable computers that typically offer a touch screen. Tablets are available in different sizes but generally offer a screen that
The English rock band, The Beatles, was formed in Liverpool in 1960. There are 12 studio albums that are considered part of their core catalogue. In the article, "Length of The Beatles' Songs"
In the article "Router Roundup", T. Klenck reported on tests of seven fixed-base routers for performance, features, and handling. The following table gives the horsepower for each of the seven
In the article "Material Culture as Memory: Combs and Cremations in Early Medieval Britain", H. Williams discussed the frequency of cremation burials found in 17 archaeological sites in eastern
The Board of Governors of the Federal Reserve System publishes information on family net worth in the Survey of Consumer Finances. In 2010, the mean net worth of families in the United States was
The Scottish Executive, Analytical Services Division Transport Statistics, compiles data on motorcycle casualties. During one year, monthly casualties resulting from motorcycle accidents in Scotland
"Length of The Beatles' Songs", T. Koyama discusses aspects and interpretations of the lengths of songs by The Beatles. Data on the length, in seconds, of 229 Beatles' songs are presented on the
As reported by the U.S. Census Bureau in Educational Attainment in the United States, the percentage of adults in each state and the District of Columbia who have completed high school is provided on
As reported by the U.S. Census Bureau in Educational Attainment in the United States, the percentage of adults in each state and the District of Columbia who have completed a bachelor's degree is
A study by researchers at the University of Maryland addressed the question of whether the mean body temperature of humans is 98.6◦F. The results of the study by P. Mackowiak et al. appeared in the
Discuss the pros and cons of Chebyshev's rule.
What does Chebyshev's rule say about the percentage of observations in any data set that lie withina. Four standard deviations to either side of the mean?b. 2.5 standard deviations to either side of
A data set with roughly a bell-shaped distribution has mean 45 and standard deviation 12. Approximately what percentage of the observations lie between 33 and 57?
A data set of size 152 with roughly a bell-shaped distribution has mean 25 and standard deviation 4. Approximately how many observations lie between 17 and 33?
The objective of the article, "Caffeinated and Caffeine-free Beverages and Risk of Type 2 Diabetes" (American Journal of Clinical Nutrition, Vol. 97, No. 1, pp. 155-166) by S. Bhupathiraju et al.,
The U.S. Census Bureau publishes annual price figures for new mobile homes in Manufactured Housing Statistics. The prices of a sample of 250 new mobile homes have roughly a bell-shaped distribution
Refer to Problem 20. The ages of the 36 millionaires sampled are arranged in increasing order in the following table.a. Determine the quartiles for the data.b. Obtain and interpret the interquartile
An independent golf equipment testing facility compared the difference in the performance of golf balls hit off a regular 2-3/4" wooden tee to those hit off a 3" Stinger Competition golf tee. A
Beachbody, LLC, provides fitness programs, including home workout videos and nutrition. P90X, or Power 90 Extreme, is a home exercise program that consists of an intense series of workout DVDs. It is
According to the Statistical Summary of Students and Staff, prepared by the Department of Information Resources and Communications, Office of the President, University of California, the Fall 2012
From The World Bank, in the document Life Expectancy at Birth, we obtained data on the expectation of life (in years) at birth for people in various countries. Those data are presented on the
What does Chebyshev's rule say about the percentage of observations in any data set that lie withina. Six standard deviations to either side of the mean?b. 1.5 standard deviations to either side of
A quantitative data set of size 87 has mean 80 and standard deviation 10. At least how many observations lie between 60 and 100?
Recall from Chapter 1 that the Focus database and Focus sample contain information on the undergraduate students at the University of Wisconsin - Eau Claire (UWEC). Now would be a good time for you
At the beginning of this chapter, we presented some information on the 12 studio albums by The Beatles, specifically, names, release dates, and number of songs per album. The following table gives
Roughly speaking, what is an experiment? an event?
The general addition rule for two events is presented in Formula 4.3 on page 175 and that for three events is displayed on page 177.Formula 4.3If A and B are any two events, thenP(A or B) = P(A) +
Identify three ways in which the total number of observations of bivariate data can be obtained from the frequencies in a contingency table.
a. Fill in the missing entries in the contingency table.b. Determine P(C1), P(R2), and P(C1 & R2).c. Construct the corresponding joint probability distribution.
From the National Football League (NFL) Web site, in the New England Patriots Roster, we obtained information on the weights and years of experience for the players on that team, as of September 26,
The Federal Highway Administration compiles information on motor vehicle use around the globe and publishes its findings in Highway Statistics. Following is a contingency table for the number of
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