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mathematics
statistics

Questions and Answers of Statistics

The following table shows a portion of the percent change in the consumer price index (CPI) for the United States from 1980 through 2008. Use the method of runs above and below the median with a
An economist wants to test whether the median hourly wage is less than $22.a. Specify the competing hypotheses for the test.b. At the 5% significance level, what is the decision rule? Assume the
The economic recovery in California has become increasingly divided between coastal and inland areas (The Wall Street Journal, February 2, 2010). For instance, the median home price in Southern
There has been a lot of discussion lately surrounding the levels and structure of executive compensation. It is well documented that in general, compensation received by senior executives has risen
The consumption function, developed by John Maynard Keynes, captures one of the key relationships in economics. It expresses consumption as a function of disposable income, where disposable income is
Consider the following frequency
Construct a histogram and an ogive for the data in exercise 12.Data in exercise 12.
Fortune provides a list of America's largest corporations based on annual revenue. Shown below are the 50 largest corporations, with annual revenue expressed in billions of dollars (CNN Money
The Nielsen Home Technology Report provided information about home technology and its usage. The following data are the hours of personal computer usage during one week for a sample of 50
Construct a stem-and-leaf display for the following data.
The following cross tabulation shows household income by educational level of the head of household (Statistical Abstract of the United States: 2008).a. Compute the row percentages and identify the
Table 2.13 shows a data set containing information for 45 mutual funds that are part of the Morningstar Funds 500 for 2008. The data set includes the following five variables:Fund Type: The type of
Refer to exercise 37 and the data in the file named Fuel Data2012.a. Prepare a crosstabulation of the data on Displacement (rows) and Hwy MPG (columns). Use classes of 1-2, 2-3, 3-4, 4-5, 5-6, and
Refer to the data set in Table 2.16.a. Prepare a scatter diagram to show the relationship between the variables Profit and Stockholders' Equity.b. Comment on any relationship between the variables.
Refer to the data set in Table 2.16.a. Prepare a scatter diagram to show the relationship between the variables Market Value and Stockholders' Equity.b. Comment on any relationship between the
The motion picture industry is a competitive business. More than 50 studios produce a total of 300 to 400 new motion pictures each year, and the financial success of each motion picture varies
Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in BonitaSprings, Florida, during 2005 and 2006 are as follows:a. Use the mean and standard deviation to evaluate the golfer's
The Energy Information Administration reported that the mean retail price per gallon of regular grade gasoline was $2.81 (Energy Information Administration, November 2010). Suppose that the standard
The motion picture industry is a competitive business. More than 50 studios produce a total of 300 to 400 new motion pictures each year, and the financial success of each motion picture varies
Consider a finite population with five elements labeled A, B, C, D, and E. Ten possible simple random samples of size 2 can be selected. a. List the 10 samples beginning with AB, AC, and so on. b.
In the EAI sampling problem (see Figure 7.8), we showed that for n =30, there was .5064 probability of obtaining a sample mean within Â± $500 of the population mean.a. What is the probability that
Bob Miller, a food critic, wants to prepare an article on the quality of food at locally owned restaurants in Myrtle Beach, South Carolina. A list of 44 locally owned restaurants is contained in the
Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historically, Lori obtains a book adoption on 25% of her sales calls. Viewing her sales calls for one
Consider the following hypothesis test:H0: μ = 18Ha: μ ≠ 18A sample of 48 provided a sample mean x̅= 17 and a sample standard deviation s = 4.5.a. Compute the value of the test statistic.b. Use
Consumer Reports rated 15 midpriced family sedans and 15 affordable family sedans. The following data show the road-test scores (1 to 100 scale with 100 the highest rating) for the 30 cars (Consumer
The Tire Rack, America's leading online distributor of tires and wheels, conducts extensive testing to provide customers with products that are right for their vehicle, driving style, and conditions
Par, Inc., is a major manufacturer of golf equipment. Management believes that Par's market share could be increased with the introduction of a cut-resistant, longer-lasting golf ball. Therefore, the
In recent years, the number of people who use the Internet to obtain political news has grown.Often the political websites ask Internet users to register their opinions by participating in online
Refer to exercise 5, where the following data were used to investigate whether higher prices are generally associated with higher ratings for elliptical trainers (Consumer Reports, February
Refer to excercise 5, where the following data were used to investigate whether higher prices are generally associated with higher ratings for elliptical trainers (Consumer Reports, February
The commercial division of a real estate firm conducted a study to determine the extent of the relationship between annual gross rents ($1000s) and the selling price ($1000s) for apartment buildings.
A regression model relating the number of salespersons at a branch office to annual sales at the office (in thousands of dollars) provided the following regression output.a. Write the estimated
One measure of the risk or volatility of an individual stock is the standard deviation of the total return (capital appreciation plus dividends) over several periods of time. Although the standard
As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1000 licenses and the percentage of licensed drivers under the
The National Basketball Association (NBA) records a variety of statistics for each team. Four of these statistics are the proportion of games won (PCT), the proportion of field goals made by the team
In exercise 6, data were given on the recruiter assessment score (highest = 5), the out-of-state tuition and fees (rounded to the nearest $1000), and the average starting salary and bonus (rounded to
In exercise 9, an estimated regression equation was developed relating the top speed for a boat to the boat's beam and horsepower rating.a. Compute and interpret R2 and R2a.b. Does the estimated
In exercise 10 an estimated regression equation was developed relating the proportion of games won given the proportion of field goals made by the team, the proportion of three-point shots made by
Consider a regression study involving a dependent variable y, a quantitative independent variable x1, and a categorical variable with two levels (level 1 and level 2).a. Write a multiple regression
A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.y = β0 + β1 x + εwherey = traffic flow in vehicles per hourx = vehicle
A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives
A partial computer output from a regression analysis follows.a. Compute the missing entries in this output.b. Using α = .05, test for overall significance.c. Use the t test and α = .05 to test H0:
Recall that in exercise 44, the admissions officer for Clearwater College developed the following estimated regression equation relating final college GPA to the student's SAT mathematics score and
Recall that in exercise 45 the personnel director for Electronics Associates developed the following estimated regression equation relating an employee's score on a job satisfaction test to length of
Out-of-state tuition and fees at the top graduate schools of business can be very expensive. However, the starting salary and bonus paid to graduates from many of these schools can be very high. The
Alumni donations are an important source of revenue for colleges and universities. If administratorscould determine the factors that influence increases in the percentage of alumni who make a
The Professional Golfers Association (PGA) maintains data on performance and earnings for members of the PGA Tour. The top 125 players based on total earnings in PGA Tour events are exempt for the
The American Community Survey (www.census.gov/acs) provides data every year about communities in the United States. Addresses are randomly selected, and respondents are required to supply answers to
The cellphone brands owned by a sample of 20 respondents were:Apple, Samsung, Appel, Nokia, Blackberry, HTC, Apple, Samsung, HTC, LG, Blueberry, Samsung, Samsung, APPLE, Motorola, Apple, Samsung,
A hotel management company runs 10 hotels in a resort area. The hotels have a mix of pricing-some hotels have budget priced rooms, some have moderate-priced rooms, and some have deluxe-priced rooms.
Results of a 2015 Contact Solutions study reveal insights on perceptions and attitudes toward mobile shopping, providing direction to retailers for developing strategies for investing their dollars
A recent PwC survey of 1,322 CEOs in a wide range of industries representing a mix of company sizes from Asia, Europe, and the Americas indicated that CEOs no longer question the need to embrace
A recent survey points to growing consumer demand for state-of-the-art technology in vehicles. The 2015 KPMG Global Automotive Executive study found that automobile executives believe that consumers
What is the difference between a missing value and an outlier?
What is the difference between unstack and stacked variables?
Results of a 2015 Contact Solutions study reveal insights on perceptions and attitudes toward mobile shopping, providing direction to retailers for developing strategies for investing their dollars
A recent PwC survey of 1,322 CEOs in a wide range of industries representing a mix of company sizes from Asia, Europe, and the Americas indicated that CEOs no longer question the need to embrace
Social media provides an enormous amount of data about the activities and habits of people using social platforms like Facebook and Twitter. The belief is that mining that data provides a treasure
What was the average price of a room at two-star, threestar, and four-star hotels around the world during the first half of 2014? The file HotelPrices contains the prices in English pounds (about
The file NaturalGas contains the monthly average commercial and residential prices for natural gas (dollars per thousand cubic feet) in the United States from January 1, 2008, to January 1, 2015.
The file Currency contains the exchange rates of the Canadian dollar, the Japanese yen, and the English pound from 1980 to 2014, where the Canadian dollar, the Japanese yen, and the English pound are
A/B testing allows businesses to test a new design or format for a web page to determine if the new web page is more effective than the current one. Web designers decide to create a new
The file NBACost contains the total cost ($) for four average priced tickets, two beers, four soft drinks, four hot dogs, two game programs, two adult-sized caps, and one parking space at each of the
The file Utility contains the following data about the cost of electricity (in $) during July 2015 for a random sample of 50 one-bedroom apartments in a large city.a. Construct a frequency
How much time doing what activities do college students spend using their cell phones? A 2014 Baylor University study showed college students spend an average of 9 hours a day using their cell phones
How much time doing what activities do college students spend using their cell phones? A 2014 Baylor University study showed college students spend an average of 9 hours a day using their cell phones
Visier's 2014 Survey of Employers explores current workforce analytics and planning practices, investments, and future plans. U.S.-based employers were asked what they see as the most common
For the companies in which they invest, pension fund managers seek to ensure the independence of the boards of directors. For one company, fund managers determine that the board had 7 inside
A study of selected Kickstarter projects showed that overall a majority were successful, achieving their goal and raising, at a minimum, the targeted amounts. In an effort to identify project types
The file Free Shipping contains the minimum online order required to receive free shipping from 10 retailers. (Data extracted from E. Dwoskin, "That Free Shipping Is Going to Cost You," The Wall
The file Utility contains the following data about the cost of electricity during July 2015 for a random sample of 50 one-bedroom apartments in a large city:a. Construct a histogram and a percentage
The data in NewHomeSales represent number and median sales price of new single-family houses sold in the United States recorded at the end of each month from January 2000 through December 2014. (Data
The file Movie Attendance contains the yearly movie attendance (in billions) from 2001 through 2014.a. Construct a time-series plot for the movie attendance (in billions). b. What pattern, if any, is
The following table represents world oil production in millions of barrels a day in 2013:Region ____________________Oil Production (millions of barrels a day)Iran
In the sample of 407 retirement funds (Retirement Funds), what are the attributes of the fund with the highest five-year return?
In the sample of 407 retirement funds (Retirement Funds), what five-year returns are associated with small market cap funds that have a rating of five stars?
In the sample of 407 retirement funds (Retirement Funds), what is the type and market cap of the five-star fund with the highest five-year return?
In the sample of 407 retirement funds (Retirement Funds), what characteristics are associated with the funds that have the lowest five-year return?
The file Smartphone Sales contains the market share of smartphones by type from 2010 to 2014. (Data extracted from "Android and iOS squeeze the Competition...," bit.ly/1JV5qRR). a. Construct
The file StockIndex contains the annual return for various stock indexes from 2009 to 2013. a. Construct sparklines of each stock index. b. What conclusions can you reach concerning the annual return
Visier's 2014 Survey of Employers explores current workforce analytics and planning practices, investments, and future plans. U.S.-based employers were asked what they see as the most common
Figure 2.1 shows a bar chart and a pie chart for how people paid for purchases and other transactions (see page 47).a. Create an exploded pie chart, a cone chart, or a pyramid chart that shows how
Figures 2.2 and 2.3 show a bar chart and a pie chart for the risk level for the retirement fund data (see pages 47-48).In figure 2.2In figure 2.3 a. Create an exploded pie chart, a doughnut chart, a
A survey of 1,700 shoppers were asked, "Does social media influence your purchase decisions?" The results, available at bit.ly/1JVaKoh, indicated that 20.3% of females responded that their purchase
What is the difference between a time-series plot and sparklines?
The following table represents the market share (in number of movies, gross in millions of dollars, and millions of tickets sold) of each type of movie in 2014:a. Construct a bar chart, a pie chart,
A study of selected Kickstarter projects showed that overall a majority were successful, achieving their goal and raising, at a minimum, the targeted amounts. In an effort to identify project types
The file CEO2013 includes the total compensation (in $millions) for CEOs of 200 large public companies and the investment return in 2013. (Data extracted from "Millions by Millions, CEO Pay Goes Up,"
The file Sedans contains the overall miles per gallon (MPG) of 2015 midsized sedans:a. Compute the mean, median, and mode. b. Compute the variance, standard deviation, range, coefficient of
The file SUV contains the overall miles per gallon (MPG) of 2015 small SUVs:a. Compute the mean, median, and mode. b. Compute the variance, standard deviation, range, coefficient of variation, and Z
The file MobileCommerce contains the following mobile commerce penetration values, the percentage of the country population that bought something online via a mobile phone in the past month, for 28
Is there a difference in the variation of the yields of different types of investments? The file CD Rate contains the yields for one-year certificates of deposit (CDs) and five-year CDs for 25 banks
The file HotelAway contains the average room price (in US$) paid by various nationalities while traveling abroad (away from their home country) in 2014: 174 161 167 171 163 141 147 154 a. Compute the
General Electric (GE) is one of the world's largest companies; it develops, manufactures, and markets a wide range of products, including medical diagnostic imaging devices, jet engines, lighting
Facebook's stock price in 2013 increased by 105.3%, and in 2014, it increased by 42.8%. (Data extracted from finance.yahoo.com, May 5, 2015.) a. Compute the geometric mean rate of return per year for
The file Indices contains data that represent the total rate of return percentage for the Dow Jones Industrial Average (DJIA), the Standard & Poor's 500 (S&P 500), and the technology-heavy NASDAQ
In 2011 through 2014, the value of precious metals fluctuated dramatically. The data in the following table (stored in Metals) represent the total rate of return (in percentage) for platinum, gold,
The file MobileCommerce contains the following mobile commerce penetration values, the percentage of the country population that bought something online via a mobile phone in the past month, for
The file SUV contains the overall MPG of 2015 small SUVs:Data extracted from "Which Car Is Right for you," Consumer Reports, April 2015, pp. 60-61. a. Compute the first quartile (Q1), the third
The file CD Rate contains the yields for one-year CDs and five-year CDs, for 5 banks in the United States, as of April 15, 2015. Data extracted from www.Bankrate.com, April 15, 2015. For each type of

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