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statistics
elementary statistics in social research

Questions and Answers of Elementary Statistics In Social Research

The insurance claims (in dollars) from an auto insurance company.Find the range, mean, variance, and standard deviation of the sample data set. 1514 1473 1847 1746 1545 612 1204 612 585 994 883 705
Annual household expenditures (in dollars) of a random sample of university professors:Find the range, mean, variance, and standard deviation of the sample data set. 37,224 40,964 43,724 36,188
The mean wages for a sample of employees in a company was \($18.00\) per day with a standard deviation of \($2.50\) per day. Between what two values do 95% of the data lie? (Assume the data set has a
The mean wages for a sample of employees in a company was \($16.50\) per day with a standard deviation of \($1.50\) per month. Estimate the percent of wages between \($12.00\) and \($21.00\) per day.
In a certain examination, the mean score per student for 20 students is 75 with a standard deviation of 8.5. Using Chebychev’s Theorem, determine at least how many of the students scored between 58
Sample dividends (in %) paid by two companies are listed:Find the coefficient of variation for each of the two data sets. Then compare the results. Company A 2.3 2.9 3.9 Company B 2.8 2.5 2.9 3.1 2.2
The heights (in inches) and weights (in lbs) of 8 students in a secondary school are listed.Find the coefficient of variation for each of the two data sets. Then compare the results. Heights 62 58 60
A worker’s income of \($32\) represents the 15th percentile of the incomes. What percentage of workers earns more than \($32\)?
The data set represents the numbers of minutes a sample of 27 people exercise each week.(a) Construct a frequency distribution for the data set using five classes. Include class limits, midpoints,
Use frequency distribution formulas to approximate the sample mean and the sample standard deviation of the data set in Exercise 1.Data from Exercise 1The data set represents the numbers of minutes a
The elements with known properties can be classified as metals (57 elements), metalloids (7 elements), halogens (5 elements), noble gases (6 elements), rare earth elements (30 elements), and other
Weekly salaries (in dollars) for a sample of construction workers are listed.(a) Find the mean, median, and mode of the salaries. Which best describes a typical salary?(b) Find the range, variance,
The mean price of new homes from a sample of houses is \($180,000\) with a standard deviation of \($15,000\). The data set has a bell-shaped distribution. Using the Empirical Rule, between what two
Refer to the sample statistics from Exercise 5 and determine whether any of the house prices below are unusual. Explain your reasoning.(a) $225,000(b) $80,000(c) $200,000(d) $147,000Data from
The numbers of regular season wins for each Major League Baseball team in 2016 are listed. Display the data using a box-and-whisker plot. 93 89 89 84 68 94 86 81 78 59 95 86 84 74 69 95 87 79 71 68
For quality assurance, every fortieth toothbrush is taken from each of four assembly lines and tested to make sure the bristles stay in the toothbrush.Identify the sampling technique used, and
Using random digit dialing, researchers asked 1090 U.S. adults their level of education.Identify the sampling technique used, and discuss potential sources of bias (if any). Explain.
In 2016, a worldwide study of workplace fraud found that initial detections of fraud resulted from a tip (39.1%), an internal audit (16.5%), management review (13.4%), detection by accident (5.6%),
In 2016, the median annual salary of a marketing account executive was $68,232.Determine whether the number is a parameter or a statistic. Explain your reasoning.
In a survey of 1002 U.S. adults, 88% said that fake news has caused a great deal of confusion or some confusion. Determine whether the number is a parameter or a statistic. Explain your reasoning.
The mean annual salary for a sample of electrical engineers is \($86,500\), with a standard deviation of \($1500\). The data set has a bell-shaped distribution.(a) Use the Empirical Rule to estimate
A survey of 339 college and university admissions directors and enrollment officers found that 72% think their institution is losing potential applicants due to concerns about accumulating student
A survey of 67,901 Americans ages 12 years or older found that 1.6% had used pain relievers for nonmedical purposes.Identify the population and the sample.
To study the effect of using digital devices in the classroom on exam performance, researchers divided 726 undergraduate students into three groups, including a group that was allowed to use digital
In a study of 7847 children in grades 1 through 5, 15.5% have attention deficit hyperactivity disorder.Determine whether the study is an observational study or an experiment. Explain.
The numbers of stolen bases during the 2016 season for Chicago Cubs players who stole at least one base are listed.2 8 3 2 13 12 6 2 1 5 11 1Determine whether the data are qualitative or
The six top-earning states in 2015 by median household income are listed.1. New Hampshire 2. Alaska 3. Maryland 4. Connecticut 5. Minnesota 6. New Jersey Determine whether the data are
The numbers of tornadoes by state in 2016 are listed.(a) Draw a box-and-whisker plot that represents the data set(b) describe the shape of the distribution. 87 0 3 23 7 45 0 1 50 40 46 99 0 0 48 27
Five test scores are shown below. The first 4 test scores are 15% of the final grade, and the last test score is 40% of the final grade. Find the weighted mean of the test scores.85 92 84 89 91
Tail lengths (in feet) for a sample of American alligators are listed.(a) Find the mean, median, and mode of the tail lengths. Which best describes a typical American alligator tail length? Explain
A study shows that life expectancies for Americans have increased or remained stable every year for the past five years.(a) Make an inference based on the results of the study.(b) What is wrong with
Construct a frequency distribution for the data set using eight classes. Include class limits, midpoints, boundaries, frequencies, relative frequencies, and cumulative frequencies.Use the data set,
Describe the shape of the distribution.Use the data set, which represents the points scored by each player on the Montreal Canadiens in the 2015–2016 NHL season. 7507 17 10 0 19 2 18 9 5 5 26 26 0
Construct a relative frequency histogram using the frequency distribution in Exercise 17. Then determine which class has the greatest relative frequency and which has the least relative frequency.Use
The English scores for a sample of 14 studentsFind the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain
The salaries (in thousand dollars) of a sample of 10 employeesFind the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the
The durations (in minutes) of idle times at a factory in the last 10 monthsFind the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the
The ages (in completed years) of the youngest leaders at the time of assuming officeFind the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not
The numbers of weeks the 33 leading movies remained at number 1 as of March 2018.Find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent
The pie chart at the left shows the responses of a sample of 352 small-business owners who were asked whether their business has a website.Find the mean, the median, and the mode of the data, if
The scores and their percents of the final grade for a biology student are shown below. What is the student’s mean score?Find the weighted mean of the data. Score Percent of Final Grade Assignment
In Exercise 41, an error was made in grading your practical. Instead of getting 90, you scored 100.What is your new weighted mean?Data from Exercises 41The scores and their percents of the final
The optimum speeds (in kilometers per hour) for 30 hatchbacksApproximate the mean of the frequency distribution. Car Speeds (in kilometers per hour) Frequency 20-24 15 25-29 8. 30-34 4 35-39 3
The optimum speeds (in kilometers per hour) for 30 hatchbacksApproximate the mean of the frequency distribution. Car Speeds (in kilometers per hour) 20-24 Frequency 8 25-29 16 30-34 5 35-39 1
The ages (in years) of the residents of a small town in 2012Approximate the mean of the frequency distribution. Age (in years) Frequency 0-9 40 10-19 72 20-29 78 30-39 90 40-49 84 50-59 42 60-69 31
Number of classes: 5 Data set: The weights (to the nearest kilograms) of 30 femalesConstruct a frequency distribution and a frequency histogram for the data set using the indicated number of
During a quality assurance check, the actual weights (in kilograms) of eight sacks of cement were recorded as 20.5, 19.4, 19.6, 18.0, 21.0, 20.2, 20.4, and 20.9.(a) Find the mean and the median of
Two corporations each hired 10 graduates. The starting salaries for each graduate are shown. Find the range of the starting salaries for Corporation A. Starting Salaries for Corporation A (in
Find the population variance and standard deviation of the starting salaries for Corporation A listed in Example 1.Data from Example 1Two corporations each hired 10 graduates. The starting salaries
In a study of high school football players that suffered concussions, researchers placed the players in two groups. Players that recovered from their concussions in 14 days or less were placed in
Sample office rental rates (in dollars per square foot per year) for Los Angeles are shown in the table at the left. Use technology to find the mean rental rate and the sample standard deviation.
Without calculating, estimate the population standard deviation of each data set. 1. 2. 8 7 N=8 = 4 Frequency 2 1 0 1 2 3 4 5 6 7 Data entry Frequency 876SY N = 8 = 4 2 1 0 1 2 3 4 5 6 7 Data entry
In a survey conducted by the National Center for Health Statistics, the sample mean height of women in the United States (ages 20–29) was 64.2 inches, with a sample standard deviation of 2.9
The age distributions for Georgia and Iowa are shown in the histograms. Apply Chebychev’s Theorem to the data for Georgia using k = 2. What can you conclude? Is an age of 100 unusual for a Georgia
You collect a random sample of the number of children per household in a region. The results are listed below. Find the sample mean and the sample standard deviation of the data set. 1 3 1 1 1 1 2 2
The figure below shows the results of a survey in which 1000 adults were asked how much they spend in preparation for personal travel each year. Make a frequency distribution for the data. Then use
The table below shows the population heights (in inches) and weights (in pounds) of the members of a basketball team. Find the coefficient of variation for the heights and the weights. Then compare
The altitudes (in kilometers) of atmosphere at which helium is found in majority in 10 different cities are listed.938.5 927.0 929.5 930.3 934.3 936.0 926.2 930.5 924.8 870.7(a) Find the range of the
In Exercise 11, compare your answer to part (a) with your answer to part (b). How do outliers affect the range of a data set?Data from Exercises 11The altitudes (in kilometers) of atmosphere at which
The numbers of deaths caused by fire per year from 1990 to 2005 in New South Wales Find the range, mean, variance, and standard deviation of the population data set. 8 13 2 11 4 2 2 4 4 3 5 5 14 1 6
The durations (in days) of germination for a random sample of seeds.Find the range, mean, variance, and standard deviation of the sample data set. 25 29 23 24 26 21 28 29 25 26 24 28 26 25 25 26 29
You are applying for jobs at two companies. Company A offers starting salaries with μ = \($30,000\) and σ = \($4,000\). Company B offers starting salaries with μ = \($30,000\) and σ = \($2,000\).
Salary Offers You are applying for jobs at two companies. Company C offers starting salaries with μ = \($75,000\) and σ = \($2,500\). Company D offers starting salaries with μ = \($75,000\) and σ
Construct a data set that has the given statistics.N = 9 μ̅ = 8σ ≈ 6
Construct a data set that has the given statistics.n = 5 x̅ =12 s = 0
Construct a data set that has the given statistics.n = 5 x̅ = 8 s ≈ 4
You are conducting a survey on the number of people per house in your region. From a sample with n = 60, the mean number of people per house is 3 and the standard deviation is 1 person. Using
The mean height of students of a class is 125 centimeters, with a standard deviation of 4 centimeters. Apply Chebychev’s Theorem to the data using k = 2. Interpret the results. Chebychev's Theorem
Sample wealth (in billions of dollars) for billionaires in Africa and Asia are listed.Find the coefficient of variation for each of the two data sets. Then compare the results. Africa 12.2 7.7 7.2
Sample weight averages (in kilograms) for 10 males and 10 females are listed.Find the coefficient of variation for each of the two data sets. Then compare the results. Males 70 72 75 69 64 75 60 71
Sample height averages (in centimeters) for 10 males and 10 females are listed.Find the coefficient of variation for each of the two data sets. Then compare the results. Males 167 165 160 181 190 175
Each year in the U.S., automobile commuters waste fuel due to traffic congestion. The amounts (in gallons per year) of fuel wasted by commuters in the 15 largest U.S. urban areas are listed. (Large
The tuition costs (in thousands of dollars) for 25 liberal arts colleges are listed.Use technology to find the first, second, and third quartiles. What do you observe? 555 50 52 51 49 52 51 25 41 47
Find the interquartile range of the data set in Example 1. Are there any outliers?Data from Example 1Each year in the U.S., automobile commuters waste fuel due to traffic congestion. The amounts (in
Draw a box-and-whisker plot that represents the data set in Example 1. What do you observe?Data from Example 1Each year in the U.S., automobile commuters waste fuel due to traffic congestion. The
The ogive at the right represents the cumulative frequency distribution for SAT scores of college-bound students in a recent year. What score represents the 80th percentile? Percentile 100 90 80 70
For the data set in Example 2, find the percentile that corresponds to $34,000.Data from Example 2The tuition costs (in thousands of dollars) for 25 liberal arts colleges are listed. Use technology
The mean speed of vehicles along a stretch of highway is 56 miles per hour with a standard deviation of 4 miles per hour. You measure the speeds of three cars traveling along this stretch of highway
The table shows the mean heights and standard deviations for a population of men and a population of women. Compare the z-scores for a 6-foot-tall man and a 6-foot-tall woman. Assume the
The numbers of extra classes taken per week by a sample of 32 studentsUse technology to draw a box-and-whisker plot that represents the data set. 561 2 4 8 7 6 5 1 3 1 5 8 28 1 9 1 3 27 34 2 3 2 1 2
The numbers of leaves availed by a sample of 20 executives in a recent yearUse technology to draw a box-and-whisker plot that represents the data set. 4 3 5 6 7 9 11 453 96 15 264 7 11 59
The numbers of working hours of a sample of 30 employees in a monthUse technology to draw a box-and-whisker plot that represents the data set. 160 182 195 196 174 196 210 199 187 164 131 211 238 132
The annual profits (in thousands of dollars) of a sample of 27 companies listed on a stock exchangeUse technology to draw a box-and-whisker plot that represents the data set. 12.86 51.11 13.84 15.96
Refer to the data set in Exercise 23 and the box-and-whisker plot you drew that represents the data set.(a) About 25% of the students took no more than how many extra classes per week?(b) What
Refer to the data set in Exercise 26 and the box-andwhisker plot you drew that represents the data set.(a) About 50% of the companies made less than what amount of annual profits?(b) What percent of
Find the percentile that corresponds to an age of 47 years old.Use the data set, which represents the ages of 30 executives. 43 57 65 47 57 41 56 53 61 54 56 50 66 56 50 61 47 40 50 43 54 41 48 45 28
Find the percentile that corresponds to an age of 57 years old.Use the data set, which represents the ages of 30 executives. 43 57 65 47 57 41 56 53 61 54 56 50 66 56 50 61 47 40 50 43 54 41 48 45 28
Use the data set, which represents the ages of 30 executives.Which ages are below the 75th percentile? 43 57 65 47 57 41 56 53 61 54 56 50 66 56 50 61 47 40 50 43 54 41 48 45 28 35 38 43 42 44
Use the data set, which represents the ages of 30 executives.Which ages are above the 25th percentile? 43 57 65 47 57 41 56 53 61 54 56 50 66 56 50 61 47 40 50 43 54 41 48 45 28 35 38 43 42 44
The distribution of the ages of the winners of the Tour de France from 1903 to 2016 is approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. Use the
The distribution of the ages of the winners of the Tour de France from 1903 to 2016 is approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. Use the
The distribution of the ages of the winners of the Tour de France from 1903 to 2016 is approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. Use the
The distribution of the ages of the winners of the Tour de France from 1903 to 2016 is approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. Use the
The distribution of the ages of the winners of the Tour de France from 1903 to 2016 is approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. Use the
The distribution of the ages of the winners of the Tour de France from 1903 to 2016 is approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. Use the
The life spans of a species of lady bugs have a bell-shaped distribution, with a mean of 1000 days and a standard deviation of 100 days.(a) The life spans of three randomly selected lady bugs are
A brand of bearings has a mean life span of 15,000 cycles, with a standard deviation of 1,250 cycles. Assume the life spans of the bearings have a bell-shaped distribution.(a) The life spans of three
(a) identify any outliers(b) draw a modified box-and-whisker plot that represents the data set. Use asterisks (*) to identify outliers.16 9 11 12 8 10 12 13 11 10 24 9 2 15 7
(a) identify any outliers(b) draw a modified box-and-whisker plot that represents the data set. Use asterisks (*) to identify outliers.75 78 80 75 62 72 74 75 80 95 76 72
The data set lists the out-of-pocket prescription medicine expenses (in dollars) for 30 U.S. adults in a recent year. Construct a frequency distribution that has seven classes. 200 239 155 252 384

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