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mathematics
statistics

Questions and Answers of Statistics

Construct a scatter plot for the following two numerical variables.x y12 ........... 517 ........... 39 ..........106 ..........1510.......... 814 .......... 98 ............ 8
The Whitcomb Company manufactures a metal ring for industrial engines that usually weighs about 50 ounces. A random sample of 50 of these metal rings produced the following weights (inounces).
A northwestern distribution company surveyed 53 of its midlevel managers. The survey obtained the ages of these managers, which later were organized into the frequency distribution shown. Determine
Use the data from Problem.Class Interval Frequency20–under 25 ............. 825–under 30 ............. 630–under 35 ............. 535–under 40
The following data are shaped roughly like a normal distribution (discussed in Chapter 6).Construct a frequency distribution starting with 10 as the lowest class beginning point and use a class width
In a medium-sized southern city, 86 houses are for sale, each having about 2000 square feet of floor space. The asking prices vary. The frequency distribution shown contains the price categories for
Good, relatively inexpensive prenatal care often can prevent a lifetime of expense owing to complications resulting from a baby’s low birth weight. A survey of a random sample of 57 new mothers
A consumer group surveyed food prices at 87 stores on the East Coast. Among the food prices being measured was that of sugar. From the data collected, the group constructed the frequency distribution
The top music genres according to SoundScan for a recent year are R&B, Alternative (Rock), Rap, and Country. These and other music genres along with the number of albums sold in each (in millions)
The following figures for U.S. imports of agricultural products and manufactured goods were taken from selected years over a 30-year period (in $ billions). The source of the data is the U.S.
Shown here is a list of the industries with the largest total release of toxic chemicals in a recent year according to the U.S. Environmental Protection Agency. Construct a pie chart and a bar chart
A manufacturing company produces plastic bottles for the dairy industry. Some of the bottles are rejected because of poor quality. Causes of poor-quality bottles include faulty plastic, incorrect
A research organization selected 50 U.S. towns with Census 2000 populations between 4,000 and 6,000 as a sample to represent small towns for survey purposes.The populations of these towns
Study the following dot plot and comment on the general shape of the distribution. Discuss any gaps or heavy concentrations in thedata.
Shown here is an Excel-produced pie chart representing physician specialties. What does the chart tell you about the various specialties?
Suppose 100 CPA firms are surveyed to determine how many audits they perform over a certain time. The data are summarized using the Minitab stem-and-leaf plot shown in the next column. What can you
The following Excel ogive shows toy sales by a company over a 12-month period. What conclusions can you reach about toy sales at thiscompany?
Procter & Gamble has been the leading soap manufacturer in the United States since 1879, when it introduced Ivory soap. However, late in 1991, its major rival, Lever Bros. (Unilever), overtook it
Determine the mode for the followingnumbers.
Determine the median for the numbers inProblem.
Determine the median for the followingnumbers.
Compute the mean for the followingnumbers.
Compute the mean for the followingnumbers.
Compute the 35th percentile, the 55th percentile,Q1, Q2, and Q3 for the following data.
Compute P20, P47, P83, Q1, Q2, and Q3 for the following data.
The following list shows the 15 largest banks in the world by assets according to EagleTraders.com. Compute the median and the mean assets from this group. Which of these two measures do think is
The following lists the 10 largest automakers in the world and the number of vehicles produced by each in a recent year. Compute the median, Q3, P20, P60, P80, and P93 on these data.Auto Manufacturer
The following lists the number of fatal accidents by scheduled commercial airlines over a 17-year period according to the Air Transport Association of America. Using these data, compute the mean,
A data set contains the following seven values.6 2 4 9 1 3 5a. Find the range.b. Find the mean absolute deviation.c. Find the population variance.d. Find the population standard deviation.e. Find the
A data set contains the following eight values.4 3 0 5 2 9 4 5a. Find the range.b. Find the mean absolute deviation.c. Find the sample variance.d. Find the sample standard deviation.e. Find the
A data set contains the following six values.12 23 19 26 24 23a. Find the population standard deviation using the formula containing the mean (the original formula).b. Find the population standard
Use your calculator or computer to find the sample variance and sample standard deviation for the followingdata.
Use your calculator or computer to find the population variance and population standard deviation for the followingdata.
Determine the interquartile range on the followingdata.
According to Chebyshev’s theorem, at least what proportion of the data will be within µ ± k for each value of k?a. k = 2b. k = 2.5c. k = 1.6d. k = 3.2
Compare the variability of the following two sets of data by using both the populationstandard deviation and the population coefficient of variation.Data Set 1 Data Set 249 ...........15982
A sample of 12 small accounting firms reveals the following numbers of professionals per office.a. Determine the mean absolute deviation.b. Determine the variance.c. Determine the standard
Shown below are the top food and drug stores in the United States in a recent year according to Fortune magazine.Company Revenues ($ billions)Kroger ...........66.11Walgreen
A distribution of numbers is approximately bell shaped. If the mean of the numbers is 125 and the standard deviation is 12, between what two numbers would approximately 68% of the values fall?
Some numbers are not normally distributed. If the mean of the numbers is 38 and the standard deviation is 6, what proportion of values would fall between 26 and 50? What proportion of values would
According to Chebyshev's theorem, how many standard deviations from the mean would include at least 80% of the values?
The time needed to assemble a particular piece of furniture with experience is normally distributed with a mean time of 43 minutes. If 68% of the assembly times are between 40 and 46 minutes, what is
Environmentalists are concerned about emissions of sulfur dioxide into the air. The average number of days per year in which sulfur dioxide levels exceed 150 milligrams per cubic meter in Milan,
Shown below are the per diem business travel expenses listed by Runzheimer International for 11 selected cities around the world. Use this list to calculate the z scores for Moscow, Beijing, Rio de
Compute the mean, the median, and the mode for the following data.Class f0–under 2 .........392–under 4 .........274–under 6 .........166–under 8 .........158–under 10 .........1010–under
Compute the mean, the median, and the mode for the following data.Class f1.2–under 1.6 ........2201.6–under 2.0 ........1502.0–under 2.4 ........ 902.4–under 2.8 ........1102.8–under 3.2
Determine the population variance and standard deviation for the following data by using the original formula.Class f20–under 30 ........ 730–under 40 ........1140–under 50 ........1850–under
Determine the sample variance and standard deviation for the following data by using the computational formula.Class f5–under 9 .........209–under 13 .........1813–under 17 ........ 817–under
A random sample of voters in Nashville, Tennessee, is classified by age group, as shown by the following data.Age Group Frequency18–under 24 .........1724–under 30 .........2230–under 36
The following data represent the number of appointments made per 15-minute interval by telephone solicitation for a lawn-care company. Assume these are population data.Number of FrequencyAppointments
The Air Transport Association of America publishes figures on the busiest airports in the United States. The following frequency distribution has been constructed from these figures for a recent
The frequency distribution shown represents the number of farms per state for the 50 United States, based on information from the U.S. Department of Agriculture. Determine the average number of farms
On a certain day the average closing price of a group of stocks on the New York Stock Exchange is $35 (to the nearest dollar). If the median value is $33 and the mode is $21, is the distribution of
A local hotel offers ballroom dancing on Friday nights. A researcher observes the customers and estimates their ages. Discuss the skewness of the distribution of ages if the mean age is 51, the
The sales volumes for the top real estate brokerage firms in the United States for a recent year were analyzed using descriptive statistics. The mean annual dollar volume for these firms was $5.51
Suppose the following data are the ages of Internet users obtained from a sample. Use these data to compute a Pearsonian coefficient of skewness.What is the meaning of thecoefficient?
Construct a box-and-whisker plot on the following data. Do the data contain any outliers? Is the distribution of dataskewed?
Suppose a consumer group asked 18 consumers to keep a yearly log of their shopping practices and that the following data represent the number of coupons used by each consumer over the yearly period.
The 2000 U.S. Census asked every household to report information on each person living there. Suppose for a sample of 30 households selected, the number of persons living in each was reported as
The 2000 U.S. Census also asked for each personâ€™s age. Suppose that a sample of 40 households taken from the census data showed the age of the first person recorded on the census form to be as
Shown below are the top 20 companies in the computer industry by sales according to netvalley.com in a recent year. Compute the mean, median, P30, P60, P90, Q1, Q3, range, and interquartile range on
Shown in right column are the top 10 companies receiving the largest dollar volume of contract awards from the U.S. Department of Defense in a recent year. Use this population data to compute a mean
Shown here are the U.S. oil refineries with the largest capacity in terms of barrels per day according to the U.S. Energy Information Administration. Use these as population data and answer the
The U.S. Department of the Interior releases figures on mineral production. Following are the 14 leading states in nonfuel mineral production in the United States.State Value ($ billions)Arizona
The radio music listener market is diverse. Listener formats might include adult contemporary, album rock, top 40, oldies, rap, country and western, classical, and jazz. In targeting audiences,
A research agency administers a demographic survey to 90 telemarketing companies to determine the size of their operations. When asked to report how many employees now work in their telemarketing
Financial analysts like to use the standard deviation as a measure of risk for a stock. The greater the deviation in a stock price over time, the more risky it is to invest in the stock. However, the
The Polk Company reported that the average age of a car on U.S. roads in a recent year was 7.5 years. Suppose the distribution of ages of cars on U.S. roads is approximately bell shaped. If 99.7% of
According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 27 minutes.a. If
During the 1990s, businesses were expected to show a lot of interest in Central and Eastern European countries.As new markets began to open, American businesspeople needed a better understanding of
According to the Bureau of Labor Statistics, the average annual salary of a worker in Detroit, Michigan, is $35,748. Suppose the median annual salary for a worker in this group is $31,369 and the
According to the U.S. Army Corps of Engineers, the top 20 U.S. ports, ranked by total tonnage (in million tons), were as follows.Port Total TonnageSouth Louisiana, LA ..........212.7Houston, TX
Runzheimer International publishes data on overseas business travel costs. They report that the average per diem total for a business traveler in Paris, France, is $349. Suppose the shape of the
Netvalley.com compiled a list of the top 100 banks in the United States according to total assets. Leading the list was Bank of America, followed by JPMorgan Chase and Citibank. Following is an Excel
Hispanic Business magazine publishes a list of the top 50 advertisers in the Hispanic market. The advertising spending for each of these 50 advertisers (in $ millions) was entered into a Minitab
Excel was used to analyze the number of employees for the top 60 employers with headquarters around the world outside of the United States. The data was compiled by myglobalcareer.com, extracted from
The Nielsen Company compiled a list of the top 25 advertisers in African American media. Shown below are a Minitab descriptive statistics analysis of the annual advertising spending in $ million by
The Coca-Cola Company is the number-one seller of soft drinks in the world. Every day an average of more than 1.5 billion servings of Coca-Cola, Diet Coke, Sprite, Fanta, and other products of
In the mid-1990s, Colgate-Palmolive developed a new toothpaste for the U.S. market, Colgate Total, with an antibacterial ingredient that was already being successfully sold overseas. However, the
A supplier shipped a lot of six parts to a company. The lot contained three defective parts. Suppose the customer decided to randomly select two parts and test them for defects. How large a sample
Given X = {1, 3, 5, 7, 8, 9}, Y = {2, 4, 7, 9}, and Z = {1, 2, 3, 4, 7}, solve the following.a.X U Z = _____ b. X ∩ Y= _____c. X ∩ Z = _____ d. X U Y U Z = _____e. X ∩ Y ∩ Z = _____ f. (X U
If a population consists of the positive even numbers through 30 and if A = {2, 6, 12, 24}, what is A'?
A bin contains six parts. Two of the parts are defective and four are acceptable. If three of the six parts are selected from the bin, how large is the sample space? Which counting rule did you use,
A small company has 20 employees. Six of these employees will be selected randomly to be interviewed as part of an employee satisfaction program. How many different groups of six can be selected?
Given P(A) = .10, P(B) = .12, P(C) = .21, P(A ∩ C) = .05, and P(B ∩ C) = .03, solvethe following.a. P(A U C) = ____________b. P(B U C) = ____________c. If A and B are mutually exclusive, P(A U B)
Use the values in the matrix to solve the equations given.a. P(A U D) = __________b. P(E U B) = __________c. P(D U E) = __________d. P (C U F) =__________
Use the values in the matrix to solve the equations given.a. P(A U F) = __________b. P(E U B) = __________c. P(B U C) = __________d. P (E U F) =__________
Suppose that 47% of all Americans have flown in an airplane at least once and that 28% of all Americans have ridden on a train at least once.What is the probability that a randomly selected American
According to the U.S. Bureau of Labor Statistics, 75% of the women 25 through 49 years of age participate in the labor force. Suppose 78% of the women in that age group are married. Suppose also that
According to Nielsen Media Research, approximately 67% of all U.S. households with television have cable TV. Seventy-four percent of all U.S. households with television have two or more TV sets.
A survey conducted by the Northwestern University Lindquist-Endicott Report asked 320 companies about the procedures they use in hiring. Only 54% of the responding companies review the applicant's
Use the values in the contingency table to solve the equations given.a. P(A âˆ© E) = __________b. P(D âˆ© B) = __________c. P(D âˆ© E) = __________d. P (A âˆ© B) =__________
Use the values in the probability matrix to solve the equations given.a. P(E âˆ© B) = __________b. P(C âˆ© F) = __________c. P(E âˆ© D) =__________
a. A batch of 50 parts contains six defects. If two parts are drawn randomly one at a time without replacement, what is the probability that both parts are defective?b. If this experiment is
According to the nonprofit group Zero Population Growth, 78% of the U.S. population now lives in urban areas. Scientists at Princeton University and the University of Wisconsin report that about 15%
A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult
According to the Consumer Electronics Manufacturers Association, 10% of all U.S. households have a fax machine and 52% have a personal computer. Suppose 91% of all U.S. households having a fax
A study by Becker Associates, a San Diego travel consultant, found that 30% of the traveling public said that their flight selections are influenced by perceptions of airline safety. Thirty-nine
The U.S. Energy Department states that 60% of all U.S. households have ceiling fans.In addition, 29% of all U.S. households have an outdoor grill. Suppose 13% of all U.S. households have both a
Use the values in the contingency table to solve the equations given.a. P(G|A) = ___________b. P(B|F) = ___________c. P(C|E) = ___________d. P(E|G) =___________

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