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theory of statistics

Questions and Answers of Theory of Statistics

A sample of executives were surveyed about loyalty to their company. One of the questions was, “If you were given an offer by another company equal to or slightly better than your present position,
The board of directors of Tarbell Industries consists of eight men and four women. A four-member search committee is to be chosen at random to conduct a nationwide search for a new company
A golfer has 12 golf shirts in his closet. Suppose 9 of these shirts are white and the others blue. He gets dressed in the dark, so he just grabs a shirt and puts it on. He plays golf two days in a
From experience, Teton Tire knows the probability is .80 that a particular XB-70 tire will last 60,000 miles before it becomes bald or fails. An adjustment is made on any tire that does not last
A survey by the American Automobile Association (AAA)revealed 60 percent of its members made airline reservations last year. Two members are selected at random. What is the probability both made
A study by the National Park Service revealed that 50 percent of vacationers going to the Rocky Mountain region visit Yellowstone Park, 40 percent visit the Tetons, and 35 percent visit both.a. What
A survey of grocery stores in the Southeast revealed 40 percent had a pharmacy, 50 percent had a floral shop, and 70 percent had a deli.Suppose 10 percent of the stores have all three departments, 30
A student is taking two courses, history and math. The probability the student will pass the history course is .60, and the probability of passing the math course is .70. The probability of passing
A study of 200 advertising firms revealed their income after taxes:a. What is the probability an advertising firm selected at random has under $1 million in income after taxes?b. What is the
Routine physical examinations are conducted annually as part of a health service program for General Concrete, Inc., employees. It was discovered that 8 percent of the employees need corrective
What is the probability that a card chosen at random from a standard deck of cards will be either a king or a heart?
A sample of employees of Worldwide Enterprises is to be surveyed about a new health care plan. The employees are classified as follows:(a) What is the probability that the first person selected
Recall the probability a bag of mixed vegetables is underweight is.025 and the probability of an overweight bag is .075. Use the complement rule to show the probability of a satisfactory bag is .900.
An automatic Shaw machine fills plastic bags with a mixture of beans, broccoli, and other vegetables. Most of the bags contain the correct weight, but because of the variation in the size of the
Bank of America customers select their own three-digit personal identification number (PIN) for use at ATMs.a. Think of this as an experiment and list four possible outcomes.b. What is the
A sample of 2,000 licensed drivers revealed the following number of speeding violations.a. What is the experiment?b. List one possible event.c. What is the probability that a particular driver had
A firm will promote two employees out of a group of six men and three women.a. List the outcomes of this experiment if there is particular concern about gender equity.b. Which concept of probability
In each of the following cases, indicate whether classical, empirical, or subjective probability is used.a. A baseball player gets a hit in 30 out of 100 times at bat. The probability is.3 that he
A large company that must hire a new president prepares a final list of five candidates, all of whom are equally qualified. Two of these candidates are members of a minority group. To avoid bias in
A survey of 34 students at the Wall College of Business showed the following majors:Suppose you select a student and observe his or her major.a. What is the probability he or she is a management
(a) One card will be randomly selected from a standard 52-card deck.What is the probability the card will be a queen? Which approach to probability did you use to answer this question?(b) The Center
On February 1, 2003, the Space Shuttle Columbia exploded. This was the second disaster in 113 space missions for NASA. On the basis of this information, what is the probability that a future mission
Consider an experiment of rolling a six-sided die. What is the probability of the event “an even number of spots appear face up”?
Video Games, Inc., recently developed a new video game. Its playability is to be tested by 80 veteran game players.(a) What is the experiment?(b) What is one possible outcome?(c) Suppose 65 players
Define the terms conditional probability and joint probability.
Explain the terms experiment, event, outcome, permutations, and combinations.
Describe the classical, empirical, and subjective approaches to probability.
Define probability.
Refer to the CIA data, which report demographic and economic information on 46 countries.a. Select the variable life expectancy. Develop a box plot. Find the first and third quartiles. Are there any
Refer to the Wage data, which report information on annual wages for a sample of 100 workers. Also included are variables relating to industry, years of education, and gender for each worker. Draw a
Refer to the Baseball 2006 data, which report information on the 30 Major League Baseball teams for the 2006 seasona. Select the variable that refers to the year in which the stadium was built and
Refer to the Real Estate data, which report information on homes sold in the Denver, Colorado, area last year. Select the variable selling price.a. Develop a box plot. Estimate the first and the
The following website gives the Super Bowl results since the game was first played in 1967: http://www.superbowl.com/history/recaps. Download the scores for each Super Bowl and determine the winning
Refer to Exercise 76 here, which suggests websites to find information on the Dow Jones Industrial Average. One of the websites suggested is Bloomberg, which is an excellent source of business data.
Listed below is a table showing the number of employed and unemployed workers 20 years or older by gender in the United States in 2006.a. How many workers were studied?b. What percent of the workers
Listed below is the number of car thefts in a large city over the last week.Calculate the coefficient of skewness using both methods. Hint: Use of a spreadsheet will expedite the calculations. 3 12
An auto insurance company reported the following information regarding the age of a driver and the number of accidents reported yesterday.Develop a scatter diagram for the data and write a brief
The manager of Information Services at Wilkin Investigations, a private investigation firm, is studying the cost of a combination office printer. Of interest is the relationship between the age (in
Listed below is the amount of commissions earned last month for the eight members of the sales staff at Best Electronics. Calculate the coefficient of skewness using both methods. Hint: Use of a
McGivern Jewelers is located in the Levis Square Mall just south of Toledo, Ohio. Recently it ran an advertisement in the local newspaper reporting the shape, size, price, and cut grade for 33 of its
National Muffler Company claims it will change your muffler in less than 30 minutes. An investigative reporter for WTOL Channel 11 monitored 30 consecutive muffler changes at the National outlet on
Walter Gogel Company is an industrial supplier of fasteners, tools, and springs. The amounts of its invoices vary widely, from less than $20.00 to more than $400.00. During the month of January it
A study is made by the recording industry in the United States of the number of music CDs owned by senior citizens and young adults. The information is reported below.a. Find the median and the first
Doctor’s Care is a walk-in clinic, with locations in Georgetown, Monks Corners, and Aynor, at which patients may receive treatment for minor injuries, colds, and flu, as well as physical
Ski Resorts of Vermont, Inc., is considering a merger with Gulf Shores Boat Tours, Inc., of Alabama. The board of directors surveyed 50 stockholders concerning their position on the merger. The
Develop a scatter diagram for the following sample data. How would you describe the relationship between the values? X-Value Y-Value X-Value Y-Value 10 6 8 9 11 13 7 HOTTH 2657 11 10 7 11 7 6523T
A manufacturer of preassembled windows produced 50 windows yesterday. This morning the quality assurance inspector reviewed each window for all quality aspects. Each was classified as acceptable or
The rock group Blue String Beans is touring the United States. The following chart shows the relationship between concert seating capacity and revenue in $000 for a sample of concerts.(a) What is the
In the Introduction to Chapter 2 we presented data from AutoUSA. In this case the information concerned the prices of 80 vehicles sold last month at the Whitner Autoplex lot in Raytown, Missouri. The
Listed below are the 2007 opening day salaries for the New York Yankees.a. Determine the mean, median, and the standard deviation.b. Determine the coefficient of skewness using Pearson’s method.c.
Listed below are the commissions earned ($000) last year by the sales representatives at Furniture Patch, Inc.a. Determine the mean, median, and the standard deviation.b. Determine the coefficient of
A sample of five data entry clerks employed in the Horry County Tax Office revised the following number of tax records last hour: 73, 98, 60, 92, and 84.(a) Find the mean, median, and the standard
Following are the earnings per share for a sample of 15 software companies for the year 2007. The earnings per share are arranged from smallest to largest.Compute the mean, median, and standard
In a study of the gasoline mileage of model year 2007 automobiles, the mean miles per gallon was 27.5 and the median was 26.8. The smallest value in the study was 12.70 miles per gallon, and the
The following box plot shows the assets in millions of dollars for credit unions in Seattle, Washington.What are the smallest and largest values, the first and third quartiles, and the median? Would
Refer to the Whitner Autoplex data in Table 2–4. Develop a box plot of the data. What can we conclude about the distribution of the vehicle selling prices?
Alexander’s Pizza offers free delivery of its pizza within 15 miles.Alex, the owner, wants some information on the time it takes for delivery.How long does a typical delivery take? Within what
Determine the median and the values corresponding to the first and third quartiles in the following data. 5.24 6.02 6.67 7.30 9.61 10.37 10.39 11.86 7.59 12.22 7.99 8.03 8.35 8.81 9.45 12.71 13.07
Determine the median and the values corresponding to the first and third quartiles in the following data. 46 47 49 49 51 53 54 54 55 55 59
The Quality Control department of Plainsville Peanut Company is responsible for checking the weight of the 8-ounce jar of peanut butter. The weights of a sample of nine jars produced last hour
Listed below are the commissions earned last month by a sample of 15 brokers at Salomon Smith Barney’s Oakland, California office.Salomon Smith Barney is an investment company with offices located
The following chart reports the number of cell phones sold at Radio Shack for the last 26 days.a. What are the maximum and the minimum number of cell phones sold in a day?b. What is a typical number
A sample consists of 62 observations; the largest value is 11 and the smallest 2. There are three 2s. In addition there are 13 observations for the value 4, and 10 observations of both 5 and 6. A dot
The number of employees at each of the 142 Home Depot Stores in the Southeast region is shown in the following dot plot.(a) What are the maximum and minimum numbers of employees per store?(b) How
Recall in Table 2–4 here we presented data on the selling price of 80 vehicles sold last month at Whitner Autoplex in Raytown, Missouri.Whitner is one of the many dealerships owned by AutoUSA.
Refer to the CIA data, which reports demographic and economic information on 46 countries.a. Select the variable life expectancy.1. Find the mean, median, and the standard deviation.2. Write a brief
Refer to the Baseball 2006 data, which reports information on the 30 major league teams for the 2006 baseball season.a. Select the variable team salary and find the mean, median, and the standard
Refer to the Real Estate data, which reports information on homes sold in the Denver, Colorado, area last year.a. Select the variable selling price.1. Find the mean, median, and the standard
One of the most famous averages, the Dow Jones Industrial Average(DJIA), is not really an average. The following is a listing of the 30 companies whose stock prices make up the DJIA, their symbol,
There are many financial websites that provide information on stocks by industry. For example, go to http://finance.yahoo.com and select Stock Research; under Analyst Research select Sector/Industry
The State of Indiana and the Kelley School of Business of Indiana University offer links to many data sources. Go to www.stats.indiana.edu, then, under the heading Social and Economic indicators
Creek Ratz is a very popular restaurant located along the coast of northern Florida. They serve a variety of steak and seafood dinners.During the summer beach season, they do not take reservations or
A southern state has seven state universities in its system. The numbers of volumes (in thousands) held in its libraries are 83, 510, 33, 256, 401, 47, and 23.a. Is this a sample or a population?b.
The weights (in pounds) of a sample of five boxes being sent by UPS are: 12, 6, 7, 3, and 10.a. Compute the range.b. Compute the mean deviation.c. Compute the standard devi
The ages of a sample of Canadian tourists flying from Toronto to Hong Kong were: 32, 21, 60, 47, 54, 17, 72, 55, 33, and 41.a. Compute the range.b. Compute the mean deviation.c. Compute the standard
A recent article suggested that, if you earn $25,000 a year today and the inflation rate continues at 3 percent per year, you’ll need to make $33,598 in 10 years to have the same buying power. You
The metropolitan area of Los Angeles–Long Beach, California, is the area expected to show the largest increase in the number of jobs between 1989 and 2010. The number of jobs is expected to
The American Automobile Association checks prices of gasoline before many holiday weekends. Listed below are the self-service prices for a sample of 15 retail outlets during Labor Day weekend of 2007
The table below shows the percent of the labor force that is unemployed and the size of the labor force for three counties in Northwest Ohio. Jon Elsas is the Regional Director of Economic
Rolland Poust is a sophomore in the College of Business at Scandia Tech. Last semester he took courses in statistics and accounting, 3 hours each, and earned an A in both. He earned a B in a
The Split-A-Rail Fence Company sells three types of fence to homeowners in suburban Seattle, Washington. Grade A costs $5.00 per running foot to install, Grade B costs $6.50 per running foot, and
Trudy Green works for the True-Green Lawn Company. Her job is to solicit lawn-care business via the telephone. Listed below is the number of appointments she made in each of the last 25 hours of
The Canadian government wants to know the relative age of its workforce. As the baby boom generation becomes older, the government is concerned about the availability of younger qualified workers. To
A sample of households that subscribe to United Bell Phone Company service revealed the following number of calls received per household last week. Determine the mean and the median number of calls
Owens Orchards sells apples in a large bag by weight. A sample of seven bags contained the following numbers of apples: 23, 19, 26, 17, 21, 24, 22.a. Compute the mean number and median number of
The accounting firm of Crawford and Associates has five senior partners.Yesterday the senior partners saw six, four, three, seven, and five clients, respectively.a. Compute the mean number and median
The following graph portrays the distribution of the number of Biggiesized soft drinks sold at a nearby Wendy’s for the last 141 days. The mean number of drinks sold per day is 91.9 and the
The distribution of the weights of a sample of 1,400 cargo containers is symmetric and bell-shaped. According to the Empirical Rule, what percent of the weights will lie:a. Between b. Between X-2s
The Pitney Pipe Company is one of several domestic manufacturers of PVC pipe. The quality control department sampled 600 10-foot lengths. At a point 1 foot from the end of the pipe they measured the
A sample of the rental rates at University Park Apartments approximates a symmetrical, bell-shaped distribution. The sample mean is$500; the standard deviation is $20. Using the Empirical Rule,
The arithmetic mean biweekly amount contributed by the Dupree Paint employees to the company’s profit-sharing plan is $51.54, and the standard deviation is $7.51. At least what percent of the
A consumer watchdog organization is concerned about credit card debt.A survey of 10 young adults with credit card debt of more than $2,000 showed they paid an average of just over $100 per month
The sample of eight companies in the aerospace industry, referred to in Exercise 36, was surveyed as to their return on investment last year. The results are: 10.6, 12.6, 14.8, 18.2, 12.0, 14.8,
The years of service for a sample of seven employees at a State Farm Insurance claims office in Cleveland, Ohio, are: 4, 2, 5, 4, 5, 2, and 6. What is the sample variance? Compute the sample standard
The sample variance in the previous example involving hourly wages was computed to be 10. What is the sample standard deviation?
The hourly wages for a sample of part-time employees at Home Depot are: $12, $20, $16, $18, and $19. What is the sample variance?
The annual incomes of the five vice presidents of TMV Industries are:$125,000; $128,000; $122,000; $133,000; and $140,000. Consider this a population.a. What is the range?b. What is the arithmetic
Referring to Exercise 43, the annual report of Dennis Industries also gave these returns on stockholder equity for the same five-year period (in percent): 13.2, 5.0, 10.2, 17.5, and 12.9.a. What is
The Philadelphia office of Price Waterhouse Coopers LLP hired five accounting trainees this year. Their monthly starting salaries were: $3,536;$3,173; $3,448; $3,121; and $3,622.(a) Compute the
The number of traffic citations issued last year by month in Beaufort County, South Carolina, is reported below.Determine the population variance. Month January February March April May June July

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