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statistics

Introductory Statistics 10th Edition Neil A. Weiss - Solutions

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 distribution. Apply the empirical rule to solve.
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 distribution. Apply the empirical rule to solve.
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 distribution. Apply the empirical rule to solve.
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 bell-shaped distribution. Apply the empirical rule to solve.
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 bell-shaped distribution. Apply the empirical rule to solve.
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 bell-shaped distribution. Apply the empirical rule to solve.
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 bell-shaped distribution. Apply the empirical rule to solve.
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 after those in Example 3.15 on pages 117-118, solve the following problems.a. Compare the percentage
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 NEOs that are at least 1 kilometer wide. Data on NEOs can be found on the NASA website. The following
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 article "Living with Early Onset Dementia: Exploring the Experience and Developing Evidence-Based
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 provided in Dietary Reference Intakes, developed by the Institute of Medicine of the National Academy of
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. Department of Health and Human Services, for adults, a BMI of greater than 25 indicates an above healthy
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,
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 Patterns" (Nutrition, Vol. 19, pp. 427-431). The study, conducted in Azezo, North West Ethiopia,
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 above by a shell, or carapace. F. Costa and F. Perez-Miles discussed the carapace length of the adult
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, Issue 2, pp. 59-76) by R. Bachman et al. One of the variables collected was the class size in terms
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 average drive was Bubba Watson. For his 773 drives, he averaged 298.5 yards. Assume a standard deviation
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 males. The brain weights of a random sample of 225 Swedish men have a mean of 1.40 kg and standard
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 percentage of the observations lie within three standard deviations to either side of the mean?
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 Puerto Rico. The study shows that Hurricane Hugo had a significant impact on stream water
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 study was to test the claim of a local pizza shop that its pizzas are bigger than Domino's. 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 report for theme parks and water parks around the world. The following table provides the total yearly
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 boxplots for the starting annual salaries, in thousands of dollars, obtained from samples of 35 business
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 of 37 patients, was put on a program of dieting with exercise. Group 2, composed of 36 patients,
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 seconds, of 229 Beatles' songs are presented on the WeissStats site.Use the technology of your choice
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 the WeissStats site.Use the technology of your choice toa. Obtain and interpret the quartiles.b.
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 native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate
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. A positive z-score indicates that the observation is ________ the mean, whereas a negative z-score
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. Regarding the five players as a population, solve the following problems.a. Compute the population mean
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 basketball players, the mean and standard deviation of the heights are 75 inches and 6.2 inches,
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 consideration.b. A sample of six U.S. residents yielded the following data on ages (in years). Determine the
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 Conservation Implications" (Mammalia, Vol. 77, Issue 1, pp. 1-19) by G. Amori et al., reports the
The Tropical Cyclone Report, a publication of the National Hurricane Center, contains comprehensive information on each tropical cyclone, including synoptic history, meteorological statistics, casualties, and damages. A hurricane is a tropical cyclone with winds that have reached a constant speed
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 these ages. Use the appropriate mathematical notation for the parameters to express your answers.a.
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 Surveillance, the number of reported cases of all stages of syphilis is provided for cities, including Orlando,
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 to determinea. The population mean weight.b. The population standard deviation of the weights.
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. 159-165). Tiger snakes and lowland copperheads are both large snakes confined to the cooler parts of
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 ..............66.0Warren Buffett ..............46.0Larry Ellison ................41.0Charles Koch
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 is greater than 7 inches diagonally. Consumer Reports reviews tablets of different sizes and
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" (Chance, Vol. 25, No. 1, pp. 30-33), T. Koyama lists the album title, date of release, and number of 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. Decide whether it would be appropriate to use either the mean or the median as a measure of center.
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 are displayed in the following table.a. Determine the mode of the data.b. Decide whether it would be
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 appropriate to use either the mean or the median as a measure of center. Explain your answer.
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 frequency distribution for robbery type during a one-year period.Robbery type FrequencyStreet/highway
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 incoming freshmen characterized their political views as liberal, 51.9% as moderate, and 20.4% as
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 rank for medical school faculty during one year.Rank FrequencyProfessor
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 exports, respectively. A random sample of last year's exports yielded the vehicle-type data on the
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 can be found on the WeissStats site. For convenience, we use the following abbreviations:NPC:
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 of U.S. adults by marital status. Data for marital status and number of drinks per month, based 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 high school is provided on the WeissStats site.Use the technology of your choice to obtain the measures of center that are
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 provided on the WeissStats site.Use the technology of your choice to obtain the measures of center that
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 floor space of such homes was 2505 sq ft and the median was 2306 sq ft. Which measure of center do you
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 Puerto Rico. The study showed that Hurricane Hugo had a significant impact on stream water
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 United States during each month of one year.Determine the range and sample standard deviation for
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 scores that the judges gave her on technical merit, found in an article by S. Berry.Determine 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 ................66.0Warren Buffett ...............46.0Larry Ellison .................41.0Charles Koch
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 is greater than 7 inches diagonally. Consumer Reports reviews tablets of different sizes and
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" (Chance, Vol. 25, No. 1, pp. 30-33), T. Koyama lists the album title, date of release, and number of 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 routers tested.Determine the range and sample standard deviation for each of the data sets. For the sample
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 England. Here are the data.
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 $498.8 thousand and the median net worth was $77.3 thousand. Which measure of center do you think is
The Scottish Executive, Analytical Services Division Transport Statistics, compiles data on motorcycle casualties. During one year, monthly casualties resulting from motorcycle accidents in Scotland for built-up roads and non-built-up roads were as follows.a. Without doing any calculations, make an
"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 WeissStats site.Use the technology of your choice to determine and interpret the range and sample
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 the WeissStats site.Use the technology of your choice to determine and interpret the range and
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 provided on the WeissStats site.Use the technology of your choice to determine and interpret the range
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 article "A Critical Appraisal of 98.6◦F, the Upper Limit of the Normal Body Temperature, and
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 the mean?
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., was to examine the association between caffeinated beverages and type 2 diabetes risk. The mean and
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 with mean $63.3 thousand and standard deviation $7.9 thousand.a. Fill in the blanks: Approximately
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 range.c. Find and interpret the five-number summary.d. Calculate the lower and upper limits.e.
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 Callaway Great Big Bertha driver with 10 degrees of loft was used for the test, and a robot swung the
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 a 90-day program that uses the term "muscle confusion" to refer to their training methods. There
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 enrollment figures for undergraduates at the University of California campuses were as follows.Campus
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 WeissStats site.Use the technology of your choice toa. Obtain the mean, median, and mode(s) of the data.
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 the mean?
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 to review the discussion about these data sets.a. Open the Focus sample (FocusSample) in the
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 the lengths, in seconds, of the songs, by album: Please Please Me (PPM), With The Beatles (WTB), A
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) + P(B) − P(A & B).P(A or B or C) = P(A) + P(B) + P(C) − P(A & B) − P(A & C) − P(B
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, 2013. The following contingency table provides a cross-classification of those data.a. How many
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 motor vehicles in use in North American countries, by country and type of vehicle, during one year.

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