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statistics for experimentert

Questions and Answers of Statistics For Experimentert

The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central
Outliers. In Exercise 3.54 on pages 126–127, we discussed outliers, or observations that fall well outside the overall pattern of the data. The following table contains two data sets. Data Set II
Weekly Salaries. In the following table, we repeat the salary data in Data Set II from Example 3.1.300 300 940 450 400 400 300 300 1050 300a. Use Definitions 3.4 and 3.6 on pages 121 and 130,
Water Consumption. In the report “Water Poverty in Urban India: A Study of Major Cities”, water consumption in domestic households in major cities of India has been explored. Given below is the
Consider the following data set.21 34 5 16 33 21 22 8 14 35 21 27 34 33a. Draw a graph similar to Fig. 3.5 on page 133.b. Compare the percentage of the observations that actually lie within two
Consider the following data set.82 85 65 91 81 78 94 84 86 84a. Draw a graph similar to Fig. 3.5-.-on page 133.b. Compare the percentage of the observations that actually lie within two standard
In this exercise, you will compare Chebyshev’s rule and the empirical rule.a. Compare the estimates given by the two rules for the percentage of observations that lie within two standard deviations
A quantitative data set has mean 10 and standard deviation 3.Fill in the following blanks:a. At least 75% of the observations lie between and .b. At least % of the observations lie between 1 and 19.
A quantitative data set has mean 25 and standard deviation 5.Fill in the following blanks:a. At least 89% of the observations lie between and .b. At least % of the observations lie between 15 and 35.
A quantitative data set has mean 15 and standard deviation 2.At least what percentage of the observations lie between 7 and 23?
A quantitative data set has mean 30 and standard deviation 4.At least what percentage of the observations lie between 10 and 50?
A quantitative data set has size 40. At least how many observations lie within two standard deviations to either side of the mean?
A quantitative data set has size 80. At least how many observations lie within two standard deviations to either side of the mean?
A quantitative data set has size 60. At least how many observations lie within three standard deviations to either side of the mean?
A quantitative data set has size 50. At least how many observations lie within three standard deviations to either side of the mean?
A quantitative data set of size 80 has mean 30 and standard deviation 5. At least how many observations lie between 20 and 40?
A quantitative data set of size 75 has mean 152 and standard deviation 8. At least how many observations lie between 128 and 176?
A quantitative data set of size 200 has mean 20 and standard deviation 4. At least how many observations lie between 8 and 32?
A quantitative data set of size 150 has mean 35 and standard deviation 4. At least how many observations lie between 23 and 47?In each of Exercises 3.120–3.131, the quantitative data set under
The data set has mean 10 and standard deviation 3. Fill in the following blanks:a. Approximately 68% of the observations lie between and .b. Approximately 95% of the observations lie between and .c.
The data set has mean 25 and standard deviation 5. Fill in the following blanks:a. Approximately 68% of the observations lie between and .b. Approximately 95% of the observations lie between and .c.
The data set has mean 15 and standard deviation 2. Approximately what percentage of the observations lie between 13 and 17?
The data set has mean 30 and standard deviation 4. Approximately what percentage of the observations lie between 22 and 38?
The data set has size 40. Approximately how many observations lie within two standard deviations to either side of the mean?
The data set has size 80. Approximately how many observations lie within two standard deviations to either side of the mean?
The data set has size 60. Approximately how many observations lie within three standard deviations to either side of the mean?
The data set has size 50. Approximately how many observations lie within one standard deviation to either side of the mean?
The data set has 80 observations and has mean 30 and standard deviation 5. Approximately how many observations lie between 20 and 40?
The data set has 250 observations and has mean 100 and standard deviation 16. Approximately how many observations lie between 52 and 148?
The data set has 200 observations and has mean 20 and standard deviation 4. Approximately how many observations lie between 16 and 24?
The data set has 150 observations and has mean 35 and standard deviation 4. Approximately how many observations lie between 31 and 39?Applying the Concepts and Skills
Exam Scores. Consider the following sample of exam scores, arranged in increasing order.28 57 58 64 69 74 79 80 83 85 85 87 87 89 89 90 92 93 94 94 95 96 96 97 97 97 97 98 100 100 The sample mean and
Near-Earth Objects. 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
Early-Onset Dementia. 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
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
Tridimensional Personality Questionnaire. The Tridimensional Personality Questionnaire is a personality test that measures three major personality dimensions: novelty seeking, harm avoidance, and
Depressive Symptoms. In “Sociodemographic factors associated with depressive symptoms among elderly persons from two communities in Kingston, Jamaica” (West Indian Medical Journal, Vol. 62, No.
Alcohol Consumption. In the Global Status Report on Alcohol and Health 2014, the World Health Organization reports that in 2010, the worldwide consumption was 6.2 liters of pure alcohol per person
The cheetah 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 is capable of speeds above 72 mph. The accompanying
Giant Tarantulas. 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
Student-to-Faculty Ratio. 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
Height. In an article titled “Are Human Mating Preferences with Respect to Height Reflected in Actual Pairings?” (PLOS ONE, Vol. 8, No. 1) by A. Buunk et al., it is observed that women tend to
Brain Weights. 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
The Great Gretzky. Wayne Gretzky, a retired professional hockey player, played 20 seasons in the National Hockey League (NHL), from 1980 through 1999. S. Berry explored some of Gretzky’s
Cardiovascular Disease: In the article “Influence of Subclinical Atherosclerosis on Diastolic Function in Individuals Free of Cardiovascular Disease” (Arq Bras Cardiol, 2010; Vol. 95, No. 4,
Cricketing Career. Sachin Tendulkar is a former international cricket player of India. He played from 1989 to 2013. In a total of 463 ODI (One Day International) matches, he scored 18,426 runs.The
Skydiving Fatalities. In 2013, United States Parachute Association (USPA) recorded 24 fatal skydiving accidents in the U.S.out of roughly 3.2 million jumps. The data in the following table is the
Hurricanes. 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
Sky Guide. The publication California Wild: Natural Sciences for Thinking Animals has a monthly feature called the “Sky Guide” that keeps track of the sunrise and sunset for the first day of each
A magazine discussed the capital spending of telecommunications companies in two adjacent countries. The capital spending, in thousands of dollars, for each of 27 telecommunications companies is
Medieval Cremation Burials. In the article “Material Culture as Memory: Combs and Cremations in Early Medieval Britain”(Early Medieval Europe, Vol. 12, Issue 2, pp. 89–128), H. Williams
Pizza Diameters. 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
Water-Park Attendance. Water parks are a huge summer attraction for vacationers in the United States. The Global Attractions Attendance Report, published by the Themed Entertainment Association,
Sales of Cigarettes. In the “Federal Trade Commission Cigarette Report for 2011”, it states that more than 293 billion cigarettes were purchased in the United States in 2011, with three companies
Starting Salaries. 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
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
Cuckoo Care. Many species of cuckoos are brood parasites.The females lay their eggs in the nests of smaller bird species, who then raise the young cuckoos at the expense of their own young. Data on
Sickle Cell Disease. A study published by E. Anionwu et al.in the British Medical Journal (Vol. 282, pp. 283–286) examined the steady-state hemoglobin levels of patients with three different types
Women Students. The U.S. Department of Education sponsors a report on educational institutions, including colleges and universities, titled Digest of Education Statistics. Among many of the
The Great White Shark. In an article titled “Great White, Deep Trouble” (National Geographic, Vol. 197(4), pp. 2–29), Peter Benchley—the author of JAWS—discussed various aspects of the
The Beatles. 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
High School Completion. 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
Bachelor’s Completion. 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
Body Temperature. 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
Treating Psychotic Illness. L. Petersen et al. evaluated the effects of integrated treatment for patients with a first episode of psychotic illness in the paper “A Randomised Multicentre Trial of
The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central
Magazine Ads. Advertising researchers F. Shuptrine and D. McVicker wanted to determine whether there were significant differences in the readability of magazine advertisements. Thirty magazines were
Prolonging Life. Vitamin C (ascorbate) boosts the human immune system and is effective in preventing a variety of illnesses.In a study by E. Cameron and L. Pauling titled “Supplemental Ascorbate in
Microwave Popcorn. For a given brand of microwave popcorn, what property is desirable for the population standard deviation of the cooking time? Explain your answer.
Augusta National Golf Course. Earlier in this section, we found that the population mean length of the holes at the Augusta National Golf Club is 413.1 yd. In this context, is the number 413.1 a
Augusta National Golf Course. Earlier in this section, we found that the population standard deviation of the lengths of the holes at the Augusta National Golf Club is 132.0 yd. In this context, is
Heights of Basketball Players. 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
Heights of Basketball Players. This exercise requires that you have first done Exercise 3.199. In Example 3.12 on page 131, we found that, considering the five starting players on Team II a sample of
Age of U.S. Residents. 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
Chinchillidae Range. The family of mammals called Chinchillidae contains the chinchilla and viscachas, which are large South American rodents. The article, “Species Richness and Distribution of
Atlantic Basin Hurricanes. The Tropical Cyclone Report, a publication of the National Hurricane Center, contains comprehensive information on each tropical cyclone, including synoptic history,
Chess. From fide.com, the official website of the F´ed´eration Internationale des Echecs ´ (FIDE), we obtained the number of games of Chess played in the month of November 2014 by the top 21
STD Surveillance. 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
World Chess Championship. The top two players in the 2012 World Chess Championship were Viswanathan Anand and Boris Gelfand. The two players hold ranks 7 and 26, respectively, in the FIDE Ranking.
Doing Time. According to Compendium of Federal Justice Statistics, published by the Bureau of Justice Statistics, the mean time served to first release by Federal prisoners is 32.9 months. Assume the
Gestation Periods of Humans. Gestation periods of humans have a mean of 266 days and a standard deviation of 16 days. Let y denote the variable “gestation period” for humans.a. Find the
Frog Thumb Length. W. Duellman and J. Kohler explore a new species of frog in the article “New Species of Marsupial Frog(Hylidae: Hemiphractinae: Gastrotheca) from the Yungas of Bolivia”(Journal
Low-Birth-Weight Hospital Stays. Data on low-birthweight babies were collected over a 2-year period by 14 participating centers of the National Institute of Child Health and Human Development
Alzheimer’s Disease. A patient who has been recently diagnosed with Alzheimer’s disease takes a cognitive ability test. The patient scores a 45 in the test, whereas the mean of the test is
Age. Suppose you select a random sample of 18 people from a population. It is known that the mean age of the population is 32.0.For your sample, the mean age was 28.0 and the standard deviation was
Consider the following three data sets.Data Set 1 Data Set 2 Data Set 3 2 4 7553 47897 7 3 986 45345a. Assuming that each of these data sets is sample data, compute the standard deviations. (Round
Dallas Mavericks. 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.185 270 211
Stewed Tomatoes. A company produces cans of stewed tomatoes with an advertised weight of 14 oz. The standard deviation of the weights is known to be 0.4 oz. A quality-control engineer selects a can
Buying a Home. Suppose that you are thinking of buying a resale home in a large tract. The owner is asking $205,500. Your realtor obtains the sale prices of comparable homes in the area that have
Copperhead and Tiger Snakes. 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
use and understand the formulas in this chapter.
explain the purpose of a measure of center.
obtain and interpret the mean, the median, and the mode(s)of a data set.
choose an appropriate measure of center for a data set.
use and understand summation notation.
define, compute, and interpret a sample mean.
define, compute, and interpret the range of a data set.
define, compute, and interpret a sample standard deviation.
state and apply Chebyshev’s rule.
state and apply the empirical rule.

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