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mathematics
statistics

Questions and Answers of Statistics

Listed below are the salaries in $000 of the 30 players on the opening-day roster and the disabled list of the 2011 New York Yankees Major League Baseball team.Sort the players into two groups,
Suppose a manufacturer of Ibuprofen, a common headache remedy, recently developed a new formulation of the drug that is claimed to be more effective. To evaluate the new drug, a sample of 200 current
The National Basketball Association had 39 black top executives (presidents or vice presidents) among its 388 senior managers. Meanwhile, Major League Baseball had only 11 blacks among its 307 top
The following data resulted from a taste test of chocolate bars with and without almonds. 12 people were randomly selected to rate, on a scale of 0 to 5, with 5 as the highest rating, the taste of
Refer to the Baseball 2010 data, which report information on the 30 Major League Baseball teams for the 2010 season.a. At the .05 significance level, can we conclude that there is a difference in the
Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.Treatment 1............ Treatment 2.......... Treatment
Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.a. State the null hypothesis and the alternate hypothesis.b. What is the
A computer manufacturer is about to unveil a new, faster personal computer. The new machine clearly is faster, but initial tests indicate there is more variation in the processing time. The
There are four auto body shops in Bangor, Maine, and all claim to promptly serve customers. To check if there is any difference in service, customers are randomly selected from each repair shop and
The postal service groups first-class mail as letters, cards, flats, or parcels. Over a period of three weeks, one item of each kind was sent from a particular postal administrative center. The total
Investors can now make stock trades online for as little as $7 per trade. Some suggest that this will motivate investors to increase the percentage of stocks in their portfolios. Further, stocks as a
Refer to the Baseball 2010 data, which report information on the 30 Major League Baseball teams for the 2010 season.a. At the .10 significance level, is there a difference in the variation in team
The following is sample information. Test the hypothesis that the treatment means are equal. Use the .05 significance level.Treatment 1................. Treatment 2.................. Treatment
The following is sample information. Test the hypothesis at the .05 significance level that the treatment means are equal.Treatment 1......................... Treatment 2.........................
A recent article in BusinessWeek listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings. A random sample of 12 companies was selected and the
The following sample observations were randomly selectedDetermine the correlation coefficient and interpret the relationship between X and Y.
The Masters, one of the most prestigious golf tournaments on the PGA golf tour, is scheduled in April and played in Augusta, Georgia. In 2011, 48 players received prize money. The 2011 winner, Charl
Meryl's Apparel is an upscale chain of women's clothing stores, located primarily in the southwest United States. Due to recent success, Meryl's top management is planning to expand by locating new
Refer to the Baseball 2010 data, which reports information on the 2010 Major League Baseball season. Let the games won be the dependent variable and total team payroll, in millions of dollars, be the
A consulting group surveyed General Mills, Inc. employees to research the factors that affect their satisfaction with their quality of life. A special index, called the index of satisfaction, was
Refer to the Baseball 2010 data, which report information on the 30 Major League Baseball teams for the 2010 season. Let the number of games won be the dependent variable and the following variables
Listed below is the enrollment at the 13 state universities in Ohio. Assuming this is sample information, is it reasonable to conclude the enrollments follow a normal distribution. Use the .05
Refer to the Baseball 2010 data, which report information on the 30 Major League Baseball teams for the 2010 season.a. Set up a variable that divides the teams into two groups, those that had a
The safety director of Honda USA took samples at random from company records of minor work-related accidents and classified them according to the time the accident took place.Using the
The file BBCost2012 contains the total cost ($) for four tickets, two beers, four soft drinks, four hot dogs, two game programs, two baseball caps, and parking for one vehicle at each of the 30 Major
The file Utility contains the following data about the cost of electricity (in $) during July 2013 for a random sample of 50 one-bedroom apartments in a large city.a. Construct a frequency
An online survey commissioned by Vizu, a Nielsen company, of digital marketing and media professionals on current attitudes and practices regarding paid social media advertising was conducted by
The following table indicates the percentage of residential electricity consumption in the United States, in a recent year organized by type of use Type of Appliance __________Percentage Cooking
The following table, stored in Smartphone Sales, represents the annual percentage of smartphones sold in 2011, 2012, and 2013 (projected).a. What conclusions can you reach about the market for
The file BBCost2012 contains the total cost (in $) for four tickets, two beers, four soft drinks, four hot dogs, two game programs, two baseball caps, and parking for one vehicle at each of the 30
The file Utility contains the following data about the cost of electricity during July 2013 for a random sample of 50 one-bedroom apartments in a large city:a. Construct a histogram and a percentage
The following histogram and cumulative percentage polygon visualize the data about the property taxes per capita($) for the 50 states and the District of Columbia, stored in Property Taxes.What
The following is a series of annual sales (in $millions) over an 11-year period (2002 to 2012):a. Construct a time-series plot. b. Does there appear to be any change in annual sales over time?
College football is big business, with coaches' pay and revenues in millions of dollars. The file College Football contains the coaches' total pay and net revenue for college football at 105 schools
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 2012. (Data
The file Movie Attendance contains the yearly movie attendance (in billions) from 2001 through 2012: Year _________Attendance (billions) 2001 ............................... 1.44 2002
The file Audits contains the number of audits of corporations with assets of more than $250 million conducted by the Internal Revenue Service between 2001 and 2012. (Data extracted from
The following table represents world oil production in millions of barrels a day in the third quarter of 2011: Region ___________________Oil Production (millions of barrels a day) Iran
What type of insights can you gain from a contingency table that contains three variables that you cannot gain from a contingency table that contains two variables?
The following table represents the market share (in number of movies, gross in millions of dollars, and millions of tickets sold) of each type of movie in 2012:a. Construct a bar chart, a pie chart,
The Air Travel Consumer Report, a monthly product of the Department of Transportation's Office of Aviation Enforcement and Proceedings (OAEP), is designed to assist consumers with information on the
The file DomesticBeer contains the percentage alcohol, number of calories per 12 ounces, and number of carbohydrates (in grams) per 12 ounces for 152 of the best-selling domestic beers in the United
The file CigaretteTax contains the state cigarette tax ($) for each state as of January 1, 2013. a. Construct an ordered array. b. Plot a percentage histogram. c. What conclusions can you reach about
The file CDRate contains the yields for one-year certificates of deposit (CDs) and a five-year CDs for 23 banks in the United States, as of March 20, 2013. Source: Data extracted and compiled from
The file Currency contains the exchange rates of the Canadian dollar, the Japanese yen, and the English pound from 1980 to 2012, where the Canadian dollar, the Japanese yen, and the English pound are
The file Sedans contains the overall miles per gallon (MPG) of 2013 midsized sedans:Source: Data extracted from "Ratings," Consumer Reports, April 2013, pp. 30-31. a. Compute the mean, median, and
The file SUV contains the overall miles per gallon (MPG) of 2013 small SUVs:Source: Data extracted from "Ratings," Consumer Reports, April 2013, pp. 34-35. a. Compute the mean, median, and mode. b.
The file AccountingPartners contains the number of partners in a cohort of rising accounting firms that have been tagged as "firms to watch." The firms have the following numbers of partners:Source:
The file MarketPenetration contains the market penetration value (the percentage of the country population that are users) for the 15 countries that lead the world in total number of Facebook
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 23 banks
The file HotelAway contains the average room price (in English pounds) paid in 2012 by people of various nationalities while traveling away from their home country: 171 169 158 164 158 135 150
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
TASER International, Inc., develops, manufactures, and sells nonlethal self-defense devices known as Tasers and markets primarily to law enforcement, corrections institutions, and the military.
The file Indices contains data that represent the yearly rate of return (in percentage) for the Dow Jones Industrial Average (DJIA), the Standard & Poor's 500 (S&P 500), and the technology-heavy
In 2009 through 2012, the value of precious metals fluctuated dramatically. The data in the following table (contained in the file Metals) represent the yearly rate of return (in percentage) for
The file AccountingPartners contains the number of partners in a cohort of rising accounting firms that have been tagged as "firms to watch." The firms have the following numbers of partners:Source:
The file MarketPenetration contains the market penetration value (i.e., the percentage of the country population that are users) for the 15 countries that lead the world in total number of Facebook
The file HotelAway contains the average room price (in US$) paid in 2012 by people of various nationalities while traveling away from their home country:171 169 158 164 158 135 150 141a. Compute the
The file SUV contains the overall MPG of 2013 small SUVs:Source: Data extracted from "Ratings," Consumer Reports, April 2013, pp. 34-36. a. Compute the first quartile (Q1), the third quartile (Q3),
The file CD Rate contains the yields for one-year CDs and five-year CDs, for 23 banks in the United States, as of March 20, 2013. Source: Data extracted from www.Bankrate.com, March 20, 2013. For
The file Tax contains the quarterly sales tax receipts (in $thousands) submitted to the comptroller of the Village of Fair Lake for the period ending March 2013 by all 50 business establishments in
The file CigaretteTax contains the state cigarette tax (in $) for each of the 50 states as of January 1, 2013. a. Compute the population mean and population standard deviation for the state cigarette
Thirty companies comprise the DJIA. Just how big are these companies? One common method for measuring the size of a company is to use its market capitalization, which is computed by multiplying the
A study of 1,839 college students suggests a link between frequency of using Facebook and texting in class and grade point average. Students reporting a higher frequency of Facebook and texting use
The American Society for Quality (ASQ) conducted a salary survey of all its members. ASQ members work in all areas of manufacturing and service-related institutions, with a common theme of an
The file HotelPrices contains the prices in British pounds of a room at two-star, three-star, and four star hotels in cities around the world in 2012. (Data extracted from bit.ly/Q0qxe4.) Complete
The file CEO-Compensation includes the total compensation (in $millions) of CEOs of 170 large public companies and the investment return in 2012. Source: Data extracted from "CEO Pay Rockets as
The file DomesticBeer contains the percentage alcohol, number of calories per 12 ounces, and number of carbohydrates (in grams) per 12 ounces for 152 of the best-selling domestic beers in the United
According to the U.S. Census Bureau, in 2012, the median sales price of new houses was $245,200, and the mean sales price was $291,200 (extracted from www.census.gov, March 14, 2013). a. Interpret
In 40 of the 62 years from 1950 through 2012 (in 2011 there was virtually no change), the S&P 500 finished higher after the first five days of trading. In 35 of those 40 years, the S&P 500 finished
If P(B) = 0.05, P(A|B) = 0.80, P(B') = 0.95, and P(A|B') = 0.40, find P(B|A)?
If P(B) = 0.30, P(A|B) = 0.60, P(B') = 0.70, and P(A|B') = 0.50, find P(B|A)?
A 2011 joint study by MIT Sloan Management Review and IBM Institute for Business Value reports a growing divide between those companies that are transforming themselves to take advantage of business
If n = 5 and p = 0.40, what is the probability that a. X = 4? b. X ( 3? c. X < 2? d. X > 1?
Refer to Problem 5.37. Another press release reported in 2012 that for 2009 model cars, Ford had 1.24 problems per car and Toyota had 1.04 problems per car. If you purchased a 2009 Ford, what is the
In 2012, the per capita consumption of soft drinks in the United States was reported to be 44 gallons. (Data extracted from on-msn .com/XdwVlq.) Assume that the per capita consumption of soft drinks
Thirty companies comprise the DJIA. How big are these companies? One common method for measuring the size of a company is to use its market capitalization, which is computed by multiplying the number
The file CD Rate contains the yields for a one-year certificate of deposit (CD) and a five-year CD for 23 banks in the United States, as of March 20, 2013. (Data extracted from www.Bankrate .com,
The file Utility contains the electricity costs, in dollars, during July 2013 for a random sample of 50 one-bedroom apartments in a large city:Decide whether the data appear to be approximately
How long does it take to download a two-hour movie from the iTunes store? According to Apple's technical support site, support.apple.com/kb/ht1577, downloading such a movie using a 5 M bit/s
Calls arrive at a call center at the rate of 12 per hour. What is the probability that the next call arrives in a. Less than 3 minutes? b. More than 6 minutes? c. Less than 1 minute?
The major stock market indexes had strong results in 2012. The mean one-year return for stocks in the S&P 500, a group of 500 very large companies, was +13.41%. The mean one-year return for the
Consumers spend an average of $13.80 on a meal at a restaurant in 2012. (Data extracted from www.alixpartners.com.)Assume that the amount spent on a restaurant meal is normally distributed and that
The stock market in Mexico reported strong returns in 2012. The population of stocks earned a mean return of 17.87% in 2012. (Data extracted from asxiq.com/blog/stock-markets-in the
According to a mashable.com post, time spent on Tumblr, a micro blogging platform and social networking website, has a mean of 14 minutes per visit. (Source: on.mash.to/1757wfE.) Assume that time
The file Sedans contains the overall miles per gallon (MPG) of 2013 midsized sedans: 38 26 30 26 25 27 22 27 39 24 24 26 25 23 25 26 31 26 37 22 29 25 33 21 21 Source: Data extracted from "Ratings,"
The file SUV contains the overall MPG of 2013 small SUVs:22 23 21 22 25 26 22 22 2119 22 22 26 23 24 21 22Source: Data extracted from "Ratings," Consumer Reports, April 2013, pp. 34-35.a. Construct a
In a survey of 3,773 travelers, 1,509 said that location was very important for choosing a hotel and 1,207 said that reputation was very important in choosing an airline. (Data extracted from
Which store do you think is more expensive-physical or online? A recent survey (USA Today, December 10, 2012, p. 1B) found that 46% of people aged 20 to 40 thought that physical stores were more
An information technology (IT) consulting firm specializing in healthcare solutions wants to study communication deficiencies in the health care industry. A random sample of 70 health care clinicians
In Problems 9.52 and 9.53, suppose you are testing the null hypothesis H0: p = 0.20 against the two-tail alternative hypothesis H1: p 0.20 and you choose the level of significance a = 0.05. What is
How do the ratings of TV and phone services compare? The file Telecom contains the rating of 13 different providers. (Data extracted from "Ratings: TV, Phone, and Internet Services," Consumer
Does gamification motivate customer research management (CRM) utilization? Gamification is the use of game mechanics to motivate, modify, or reward distinct behaviors. In the context of sales
A recent study (data extracted from E. J. Boyland et al., "Food Choice and Overconsumption: Effect of a Premium Sports Celebrity Endorser," Journal of Pediatrics, March 13, 2013, bit.ly/16NR4Bi)
From Problem 11.21,a. at the 0.05 level of significance, is there evidence of a difference among the four group means?b. at the 0.05 level of significance, is there evidence of an effect due to
An article discussed the price of a market basket of items at Publix and Winn-Dixie supermarkets, and at Walmart and Super Target stores, located in South Florida. The file Supermarket- Prices
Referring to Problem 11.36, the effect of die temperature and die diameter on the foam diameter was also measured and the results stored in PackagaingFoam2.An experiment was conducted to study the
What are the distinguishing features of the completely randomized design, the randomized block design, and two-factor factorial designs?
You are the production manager at a parachute manufacturing company. Parachutes are woven in your factory using a synthetic fiber purchased from one of four different suppliers. The strength of these
Medical wires are used in the manufacture of cardiovascular devices. A study was conducted to determine the effect of several factors on the ratio of the load on a test specimen (YS) to the ultimate

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