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theory of statistics

Questions and Answers of Theory of Statistics

A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction.
Refer to the CIA data, which reports demographic and economic information on 46 countries.a. You wish to use the Labor force variable as the independent variable to predict the unemployment rate.
Refer to the Wage data, which reports 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.a.
Refer to the Baseball 2003 data, which reports information on the 2003 Major League Baseball season.a. Let the games won be the dependent variable and total team salary, in millions of dollars, be
Refer to the Real Estate data, which reports information on homes sold in Denver, Colorado, last year.a. Let selling price be the dependent variable and size of the home the independent variable.
Many real estate companies and rental agencies now publish their listings on the Web. One example is the Dunes Realty Company, located in Garden City and Surfside Beaches in South Carolina. Go to the
Suppose you want to study the association between the literacy rate in a country, the population, and the country's gross domestic product (GDP). Go to the website of Information Please Almanac
A dog trainer is exploring the relationship between the size of the dog (weight) and its daily food consumption (measured in standard cups). Below is the result of a sample of 18 observations.
The following data shows the retail price for 12 randomly selected laptop computers along with their corresponding processor speeds ..a. Develop a linear equation that can be used to describe how the
The following table shows the mean annual percent return on capital (profitability) and the mean annual percentage sales growth for eight aerospace and defense companies.a. Compute the coefficient of
Regression analysis relating the current market value in dollars to the size in square feet of homes in Greene County has been developed. The computer output follows. The regression equation is:
A highway employee performed a regression analysis of the relationship between the number of construction work-zone fatalities and the number of unemployed people in a state. The regression equation
Below is information on the price per share and the dividend for a sample of 30 companies.a. Calculate the regression equation using selling price based on the annual dividend. Interpret the slope
Super Markets, Inc. is considering expanding into the Scottsdale, Arizona, area. Ms. Luann Miller, Director of Planning, must present an analysis of the proposed expansion to the operating committee
The Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakes region, the Southeast, and the Northeast. Jim Bardi, the president, is studying the relationship between the
Mr. William Profit is studying companies going public for the first time. He is particularly interested in the relationship between the size of the offering and the price per share. A sample of 15
The National Highway Association is studying the relationship between the number of bidders on a highway project and the winning (lowest) bid for the project. Of particular interest is whether the
Following is a regression equation.SS 50 500 y' = 17.08 + 0.16X MS F This information is also available: Syox = 4.05, :k(X - X)2 = 1030, and n = 5.a. Estimate the value of Y' when X = 50.b. Develop a
An ANOVA table is:SOURCE Regression Error Totala. Complete the ANOVA table.b. How large was the sample?DF 124c. Determine the standard error of estimate.d. Determine the coefficient of determination.
The following regression equation was computed from a sample of 20 observations:Y'=15-5X SSE was found to be 100 and SS total 400.
The manufacturer of Cardio Glide exercise equipment wants to study the relationship between the number of months since the glide was purchased?nd the length of time the equipment was used last week.
A sample of 12 homes sold last week in St. Paul, Minnesota is selected. Can we conclude that as the size of the home (reported below in thousands of square feet) increases, the seiling price
What is the relationship between the amount spent per week on food and the size of the family? Do larger families spend more on food? A sample of 10 families in the Chicago area revealed the
Dr. Megan Boyle wishes to investigate the relationship between stress and job satisfaction. To begin she developed a profile for stress based on assigning points for events such as the death of a
A sample of 20 American cities showed the correlation between the population of the city and its unemployment rate was 0.237.a. Does unemployment rate seem to increase as the size of the population
A sample of 15 financial executives in the pharmaceutical industry revealed the correlation between the number of fat grams an executive consumed the previous day and that executive's cholesterol
An Environmental Protection Agency study of 12 automobiles revealed a correlation of 0.47 between the engine size and emissions. At the .01 significance level, can we conclude that there is a
A sociologist claims that the success of students in college (measured by their GPA) is related to their family's income. For a sample of 20 students, the coefficient of correlation is 0.40. Using
According to basic economics as the demand for a product increases the price will decrease. Listed below is the number of units demanded and the price.a. Determine the correlation between price and
The information listed below shows the relationship between the interest rate on home mortgages and the number of housing starts for selected periods. Observe that the relationship is inverse; that
On the first statistics exam the coefficient of determination between the hours studied and the grade earned was 80 percent. The standard error of estimate was 10. There were 20 students in the
Given the following ANOVA table:SOURCE Regression Error Total DF 113 14,." "SS 1000.0 500.0 1500.0a. Determine the coefficient of determination.".~11 n MS 1000.00 38.46" ,-, "F 26.00b. Assuming a
Using the preceding problem, involving years on the job and weekly production, verify that the coefficient of determination is in fact .80.
Refer to Exercise 14.a. Determine the .95 confidence interval, in thousands of dollars, for the mean of all sales personnel who make 40 contacts.b. Determine the .95 prediction interval, in thousands
Refer to Exercise 13.a. Determine the .95 confidence interval, in thousands of kilowatt-hours, for the mean of all six-room homes.b. Determine the .95 prediction interval, in thousands of
Refer to Exercise 12.a. Determine the .95 confidence interval for the mean predicted when X = 7.b. Determine the .95 prediction interval for an individual predicted when X = 7.
Refer to Exercise 6. Determine the standard error of estimate.
Refer to Exercise 13.a. Determine the standard error of estimate.b. Suppose a large sample is selected (instead of just 10). About 95 percent of the predictions regarding kilowatt-hours would occur
Refer to Exercise 11.a. Determine the standard error of estimate.b. Suppose a large sample is selected (instead of just five). About 68 percent of the predictions would be between what two values?
Refer to Exercise 5.a. Determine the regression equation.b. Estimate the number of crimes for a city with 20 police.c. Interpret the regression equation.
Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion,
The Bradford Electric Illuminating Company is studying the relationship between kilowatthours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10
The following sample observations were randomly selected.I~ 5 13 315 67a. Determine the regression equation.b. Determine the value of Y' when X is 7.3 12 413 411 69 85
The following sample observations were randomly selected.I~ 4 4a. Determine the regression equation.5 6b. Determine the value of Y' when X is 7.3 56 7
The following hypotheses are given.Ho: p:S 0 H1: p> 0 A random sample of 12 paired observations indicated a correlation of .32. Can we conclude that the correlation in the population is greater than
The production department of NOB Electronics wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, two employees were
Bi-Io Appliance Stores has outlets in several large metropOlitan areas in New England. The general sales manager plans to air a commercial for a digital camera on selected local TV stations prior to
The following sample observations were randomly selected.Determine the coefficient of correlation and the coefficient of determination. Interpret the association between X and Y.
The following sample observations were randomly selected.4 45 63 56 7Determine the coefficient of correlation and the coefficient of determination. Interpret.
Refer to the Baseball 2003; data, which reports information on the 30 Major League Baseball teams for the 2003 se'ason.a. At the .10 significance!level, is there a difference in the variation of the
Refer to the Real Estate data, which reports information on the homes sold in the Denver, Colorado, area last year.a. At the .02 significance level, is thl3re a difference in the variability of the
The percentages of quarterly changes in the gross domestic product for 20 countries are available at the following site: http://www.oecd.org, select Statistics, National Accounts, and select
Many real estate companies and rental agencies now publish their listings on the Web. One example is the Dunes Realty Company, located in Garden City Beach, South Carolina. Go to their website,
There are four radio stations in Midland. The stations have different formats (hard rock, classical, country/western, and easy listening), but each is concerned with the number of minutes of music
One reads that a business school graduate with an undergraduate degree earns more than a high school graduate with no additional education, and a person with a master's degree or a doctorate earns
A grocery store wants to monitor the amount of withdrawals that its customers make from automatic teller machines (ATMs) located within their stores. They sample 10 withdrawals from each location and
The fuel efficiencies for a sample of 27 compact, midsize, and large cars are entered into a statistical software package. Analysis of variance is used to investigate if there is a difference in the
There are four auto body shops in a community 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 their
When only two treatments are involved, ANOVA and the Student t test (Chapter 10) result in the same conclusions. Also, t2 = F. As an example, suppose that 14 randomly selected students were divided
The personnel director of Cander Machine Products is investigating "perfectionism" on the job. A test designed to measure perfectionism was administered to a random sample of 18 employees. The scores
The City of Maumee comprises four districts. Chief of police Andy North wants to determine whether there is a difference in the mean number of crimes committed among the four districts. He recorded
A physician who specializes in weight control has three different diets she recommends. As an experiment, she randomly selected 15 patients and then assigned 5 to each diet. After three weeks the
A consumer organization wants to know whether there is a difference in the price of a particular toy at three different types of stores. The price of the toy was checked in a sample of five discount
The following is a partial ANOVA table.Sum of Source Squares Treatment Error Total 500 df 211 Mean Square 20 FComplete the table and answer the following questions. Use the .05 significance level.a.
The sum of squares due to the treatments was 40.a. Set up the null hypothesis and the alternate hypothesis.b. What is the decision rule? Use the .05 significance level.c. Complete the AN OVA table.
Random samples of five were selected from each of three populations. The sum of squares total was
The manager of a computer software company wishes to study the number of hours senior executives spend at their desktop computers by type of industry. The manager selected a sample of five executives
A real estate developer is considering investing in a shopping mall on the outskirts of Atlanta, Georgia. Three parcels of land are being evaluated. Of particular importance is the income in the area
The following hypotheses are given.Ho: (j~ = (j~H1: (j~ "* (j~A random sample of eight observations from the first population resulted in a standard deviation of 10. A random sample of six
Refer to the CIA data, which reports demographic and economic information on 46 countries. Conduct a test of hypothesis to determine whether the mean percent of the population over 65 years of age in
Refer to the Wage data, which reports 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.a.
Refer to the Real Estate data, which reports information on the homes sold in Denver, Colorado, last year.a. At the .05 significance level, can we conclude that there is a difference in the mean
Listed below are several prominent companies and their stock prices in June 2004. Go to the Web and look up today's price. There are many sources to find stock prices, such as Yahoo and CNNFI. The
The amount spent on housing is an important component of the cost of living. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat,
The city of Laguna Beach operates two public parking lots. The one on Ocean Drive can accommodate up to 125 cars and the one on Rio Rancho can accommodate up to 130 cars.City planners are considering
The following data on annual rates of return were collected from five stocks listed on the New York Stock Exchange ("the big board") and five stocks listed on NASDAQ. At the .10 significance level,
An investigation of the effectiveness of an antibacterial soap in reducing operating room contamination resulted in the accompanying table. The new soap was tested in a sample of eight operating
The following data resulted from a taste test of two different chocolate bars. The first number is a rating of the taste, which could range from 0 to 5, with a 5 indicating the person liked the
Fairfield Homes is developing two parcels of land near Pigeon Fork, Tennessee. In order to test different advertising approaches, they use different media to reach potential buyers.The mean annual
The president of the American Insurance Institute wants to compare the yearly costs of auto insurance offered by two leading companies. He selects a sample of 15 families, some with only a single
Lester Hollar is Vice President for Human Resources for a large manufacturing company. In recent years he has noticed an increase in absenteeism that he thinks is related to the general health of the
A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will
The manufacturer of an MP3 player wanted to know whether a 10 percent reduction in price is enough to increase the sales of their product. To investigate, the owner randomly selected eight outlets
Two boats, the Prada (Italy) and the Oracle (U.S.A.), are competing for a spot in the upcoming America's Cup race. They race over a part of the course several times. Below are the sample times in
The Commercial Bank and Trust Company is studying the use of its automatic teller machines (ATMs). Of particular interest is whether young adults (under 25 years) use the machines more than senior
The Grand Strand Family Medical Center is specifically set up to treat minor medical emergencies for visitors to the Myrtle Beach area. There are two facilities, one in the Little River Area and the
The Engineering Department at Sims Software, Inc., recently developed two chemical solutions designed to increase the usable life of computer disks. A sample of disks treated with the first solution
Each month the National Association of Purchasing Managers publishes the NAPM index.One of the questions asked on the survey to purchasing agents is: Do you think the economy is expanding? Last
The manufacturer of Advil, 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 users is
A computer manufacturer offers a help line that purchasers can call for help 24 hours a day 7 days a week. Clearing these calls for help in a timely fashion is important to the company's image. After
A coffee manufacturer is interested in whether the mean daily consumption of regular coffee drinkers is less than that of decaffeinated-coffee drinkers. A random sample of 50 regular-coffee drinkers
Fry Brothers Heating and Air Conditioning, Inc. employs Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to
A sample of 60 afternoon-shift workers showed that the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level, is the number of units produced on
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the afternoon shift than on the day shift. A sample of 54 "day-shift
A recent study focused on the number of times men and women who live alone buy takeout dinners in a month. The information is summarized below.Statistic Mean Standard deviation Sample size Men 24.51
The federal government recently granted funds for a special program designed to reduce crime in high-crime areas. A study of the results of the program in eight high-crime areas of Miami, Florida,
The management of Discount Furniture, a chain of discount furniture stores in the Northeast, designed an incentive plan for salespeople. To evaluate this innovative plan, 12 salespeople were selected
The null and alternate hypotheses are:He: fLd = 0 H1: fLd =1= 0 The following paired observations show the number of traffic citations given for speeding by Officer Dhondt and Officer Meredith of the
The null and alternate hypotheses are:He: fLd:S; 0 H1: fLd> 0 The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of
The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, they collected the following

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