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mathematics
statistics for management
Statistics For Management And Economics 11th Edition Gerald Keller - Solutions
Education category of head of household EDCL: 1 = No high school diploma, 2 = High school diploma, 3 = Some college, 4 = College degree).Examine whether there are differences between the middle-class men and women with respect to several financial-related variables (HHSEX: 1 = Male, 2 = Female).
Industry classification for head of household (INDCAT: 1 = Mining 1 construction 1 manufacturing, 2 = Transportation 1 communications 1 utilities and sanitary services 1 wholesale trade 1 finance, insurance and real estate, 4 = Agriculture 1 retail trade 1 services 1 public transportation).Examine
Household overall expenses over last 12 months (EXPENSHILO: 1 = Unusually high, 2 = Unusually low, 3 = Normal).Examine whether there are differences between the middle-class men and women with respect to several financial-related variables (HHSEX: 1 = Male, 2 = Female). For each variable, test to
Household has been turned down for credit in the previous 5 years (TURNDOWN: 0 = No, 1 = Yes).Examine whether there are differences between the middle-class men and women with respect to several financial-related variables (HHSEX: 1 = Male, 2 = Female). For each variable, test to determine whether
Household has declared bankruptcy in the previous 5 years (BNKRUPTLAST5: 0 = No, 1 = Yes).Examine whether there are differences between the middle-class men and women with respect to several financial-related variables (HHSEX: 1 = Male, 2 = Female). For each variable, test to determine whether
Household has incurred debt (HDEBT: Household has any debt: 0 = No, 1 = Yes).Examine whether there are differences between the middle-class men and women with respect to several financial-related variables (HHSEX: 1 = Male, 2 = Female). For each variable, test to determine whether there is enough
Household has at least one late payment in the previous year (LATE: 0 = No, 1 = Yes).
In Exercise 13.115, you performed a test of the mean matched pairs difference. Test with a 10% significance level to determine whether the normality requirement is violated. Use a 5% significance level, unless specified otherwise.In exercise 13.115An operations manager who supervises an assembly
Clinical depression is a serious disorder that affects millions of people. Depression often leads to alcohol as a means of easing the pain. A Gallup survey attempted to study the relationship between depression and alcohol. A random sample of adults was drawn and after a series of question each
Refer to Exercise 15.94. Each respondent was also asked whether they are currently depressed (1 = Yes, 2 = No). Is there sufficient evidence to infer that alcohol and current depression are related?In exercise 15.94Clinical depression is a serious disorder that affects millions of people.
Gallup asked in a recent survey conducted around the world, “In this country, are you satisfied or dissatisfied with your freedom to choose what you do with your life?” The responses are 1 = Satisfied, 2 = Dissatisfied. The results for 1 = Australia, 2 = Canada, 3 = New Zealand, and the 4 =
In a series of annual surveys of residents of the United States between 2009 and 2013 Gallup asked, “Is corruption widespread throughout the government in this country or not”? The responses (1 = Yes and 2 = No) were recorded. Is there sufficient evidence to conclude that residents’ perceived
Exercise 2.65 described a survey of the business school graduates undertaken by a university placement office. The respondents reported (among other questions) gender (1 = Female, 2 = Male) and area of employment (1= Accounting, 2 = Finance, 3 = General management, 4 = Marketing/sales, 5 = Other).
Exercise 2.46 asked the question: Are you more likely to smoke if your parents smoke? To shed light on the issue, a sample of 20- to 40-year old people was asked whether they smoked and whether their parents smoked. The results are stored the following way: Smoke: 1 = Do not smoke, 2 = Smoke and
Exercises 2.33 and 2.49 described a survey that took a random sample of 285 graduating students and asked each to report which of the following is their favorite light beer: 1 =Bud Light, 2 = Busch Light, 3 = Coors Light, 4 = Michelob Light, 5 = Miller Lite, 6 = Natural Light, and 7 = other brands.
Exercise 2.64 described the survey the Red Lobster Restaurant chain conducts to monitor the performance of individual restaurants. One of the questions asks customers to rate the overall quality of their last visit. The listed responses are Poor(1), Fair(2), Good (3), Very good (4), and
a. Data from a matched pairs experiment were recorded. Use the sign test to determine whether the population locations differ.b. Repeat Part (a) using the Wilcoxon signed rank sum test.c. Why do the results of Parts (a) and (b) differ?This question requires the use of a computer and software. Use a
a. Conduct a regression analysis with income (RINCOME) as the dependent variable and age (AGE), education (EDUC), number of hours of work (HRS1), and whether someone worked for him or herself (WRKSLF: 1 = Self, 2 = Someone else) as independent variables.b. Interpret the coefficient of WRKSLF.c. Is
Develop a multiple regression model with the position on the question, should the government reduce income differences (EQWLTH: 1 = Government should reduce income differences; 2, 3, 4, 5, 6, 7 = No government action) as the dependent variable and age (AGE), education (EDUC), income (RINCOME),
Repeat Exercise 18.25 using political views (POLVIEWS3: 1 = Liberal, 2 = Moderate, 3 = Conservative) instead of political party.a. Is there sufficient evidence to infer that liberals are more likely than moderates to believe that government should reduce income differences after removing the
Can we infer that men and women (SEX: 1 = Male, 2 = Female) differ in the amount of television per day (TVHOURS) after removing the effects of age (AGE) and education (EDUC)?
Conduct a regression analysis with position on the question, should the government help poor people? Use (HELPPOOR: 1 = Government action; 2, 3, 4, 5 = People should help themselves) as the dependent variable and age (AGE),education (EDUC), income (RINCOME), weekly work hours (HRS1), and
Can we infer that there are differences in income (RINCOME) between people who work for the government and people who work for private employers (WRKGOVT: 1 = Government, 2 = Private) after removing the effects of age (AGE), education (EDUC), and weekly hours of work (HRS1)?
Conduct a regression analysis with number of hours of television per day (TVHOURS) to determine whether there is enough evidence to infer that there are differences between the three race categories (RACE: 1 = White, 2 = Black, 3 = Other) after removing the effects of age (AGE) and education (EDUC).
Conduct a regression analysis with position on the question, should the government help poor people (HELPPOOR: 1 = Government action; 2, 3, 4, 5 = eople should help themselves) as the dependent variable and age (AGE), income (RINCOME), education (EDUC), weekly work hours (HRS1), and party
Can we infer that there are differences in income (RINCOME) between Americans born inthe United States and those born elsewhere (BORN: 1 = United States, 2 = Elsewhere), after removing the effects of age (AGE), education (EDUC), and weekly hours of work (HRS1)?
To determine the effect of union membership run a regression with income (RINCOME) as the dependent variable and age (AGE), education (EDUC), number of hours worked per week (HRS1), and union membership (UNION:1 = Respondent belongs, 2 = Spouse belongs, 3 = Both belong, 4 = Neither belong). Is
Pay equity for men and women has been an ongoing source of conflict for a number of years in North America. Suppose that a statistics practitioner is investigating the factors that affect salary differences between male and female university professors.He believes that the following variables have
Re-do Example 18.4. Change the weights for knowledge and training to 15% and for working conditions to 25%. What effect does this have on the conclusion? Briefly explain why the result was predictable.
Re-do Example 18.4 by assigning your own values to each factor and to the weights. What conclusion did you reach?
Discuss how the factor values and weights affect the final result. Explain the strengths and weaknesses of the statistical analysis.
Refer to Exercise 17.16.a. Use stepwise regression to compute the regression equation.b. Compare the output with that produced in Exercise 17.16.
Refer to Exercise 17.17a. Use stepwise regression to compute the regression equation.b. Compare the output with that produced in Exercise 17.17.In exercise 17.17La Quinta Motor Inns is a moderately priced chain of motor inns located across the United States. Its market is the frequent business
Refer to Exercise 17.20. Use stepwise regression to calculate the equation.In exercise 17.20The Nielsen Ratings estimate the number of televisions tuned to various channels. However, television executives need more information. The General Social Survey may be the source of this information.
Refer to Exercise 17.21. Use stepwise regression to answer the question.In exercise 17.21What determines people’s opinion on the following question, Should the government improve the standard of living of poor people (HELPPOOR: 1 = Government act; 2, 3, 4, 5 = People should help themselves)?
Refer to Exercise 17.24. Run a stepwise regression and report the differences between this regression and the one in Exercise 17.24.
Car designers have been experimenting with ways to improve gas mileage for many years. An important element in this research is the way in which a car’s speed affects how quickly fuel is burned. Competitions whose objective is to drive the farthest on the smallest amount of gas have determined
The number of car accidents on a particular stretch of highway seems to be related to the number of vehicles that travel over it and the speed at which they are traveling. A city alderman has decided to ask the county sheriff to provide him with statistics covering the last few years, with the
Refer to Exercise 18.44.a. Estimate a second-order model with interaction.b. Is this model valid in predicting the number of accidents? Test at the 10% significance level.In exercise 18.44The number of car accidents on a particular stretch of highway seems to be related to the number of vehicles
After analyzing whether the number of ads is related to the number of customers, the manager in Exercise 16.99 decided to determine whether the advertising made any difference. As a result, he reorganized the experiment. Each week he advertised several times per week, but in only one of the
A baseball fan has been collecting data from a newspaper on the various American League teams. She wants to explain each team's winning percentage as a function of its batting average and its earned run average plus an indicator variable for whether the team fired its manager within the last 12
A growing segment of the textile industry in the United States is based on piecework, where in workers are paid for each unit they produce, instead of receiving an hourly wage. The manager of one such company has observed that inexperienced workers perform quite poorly, but they usually improve
The maintenance of swimming pools is quite costly because of all the chlorine that is needed to keep the water clear and relatively free of germs.A chain of hotels (all with outdoor pools) seeking to reduce costs decided to analyze the factors that determine how much chlorine is needed. They
a. Given the following statistics calculate the value of the test statistic to determine whether the population locations differ.T1 = 250 n1 = 15T2 = 215 n2 = 15b. Repeat part (a) with T1 = 275 and T2 = 190.c. Describe the effect on the test statistic of increasing T1 to 275.
a. From the following statistics, test (with ‑ = .05) to determine whether the location of population 1 is to the right of the location of population 2.T1 = 1,205 n1 = 30T2 = 1,280 n2 = 40b. Repeat part (a) with T1 = 1,065.c. Discuss the effect on the test statistic and
Use the Wilcoxon Rank Sum Test on the following data to determine whether the location of population 1 is to the left of the location of population 2. (Use α = .05.) Sample 1: 75 60 73 66 81 Sample 2: 78 82 103 72 90
Use the Wilcoxon Rank Sum Test on the following data to determine whether the two population locations differ. (Use a 10% significance level.) Sample 1: 15 Sample 2: 7 22 20 32 18 26 17 23 30 8 27 17 25 20 16 21 17 10 18
a. In a taste test of a new beer, 25 people rated the new beer and another 25 rated the leading brand on the market. The possible ratings were Poor, Fair, Good, Very Good, and Excellent. The responses for the new beer and the leading beer were stored using a 1-2-3-4-5 coding system. Can we infer
a. To determine whether the satisfaction rating of an airline differs between business class and economy class, a survey was performed. Random samples of both groups were asked to rate their satisfaction with the quality of service using the following responses:Very satisfiedQuite satisfiedSomewhat
a. Suppose that the responses were coded as follows:100 = The drug was extremely effective.60 = The drug was quite effective.40 = The drug was somewhat effective.35 = The drug was slightly effective.10 = The drug was not at all effective.Determine whether we can infer that the new painkiller is
A survey of statistics professors asked them to rate the importance of teaching nonparametric techniques. The possible responses areVery importantQuite importantSomewhat importantNot too importantNot important at allThe professors were classified as either a member of the Mathematics Department or
In recent years, insurance companies offering medical coverage have given discounts to companies that are committed to improving the health of their employees. To help determine whether this policy is reasonable, the general manager of one large insurance company organized a study of a random
Feminist organizations often use the issue of who does the housework in two-career families as a gauge of equality. Suppose that a study was undertaken and a random sample of 125 two-career families was taken. The wives were asked to report the number of hours of housework they performed the
The American public’s support for the space program is important for the program’s continuation and for the financial health of the aerospace industry. In a poll conducted by the Gallup organization last year, a random sample of 100 Americans was asked, “Should the amount of money being spent
Certain drugs differ in their side effects depending on the gender of the patient. In a study to determine whether men or women suffer more serious side effects when taking a powerful penicillin substitute, 50 men and 50 women were given the drug. Each was asked to evaluate the level of stomach
The president of Tastee Inc., a babyfood producer, claims that her company’s product is superior to that of her leading competitor because babies gain weight faster with her product. As an experiment, 40 healthy newborn infants are randomly selected. For two months, 15 of the babies are fed
Do the ways that women dress influence the ways that other women judge them? This question was addressed by a researcher at Ohio State University (Working Mother, April 1992). The experiment consisted of asking women to rate how professional two women looked. One woman wore a size 6 dress and the
The image of the lowly prune is not very good. It is perceived as a product used by seniors to help avoid constipation. However, in reality it is a nutritious and (for many) a tasty treat. To help improve the image of the prune, a company that produces the product decided to see the effect of
Burger King Restaurants regularly survey customers to determine how well they are doing. Suppose that a survey asked customers to rate (among other things) the speed of service. The responses are1 = Poor2 = Good3 = Very good4 = ExcellentThe responses for the day shift and night shift were recorded.
Do men (SEX: 1 = Male, 2 = Female) prefer jobs with higher incomes more than do women? Conduct a statistical test to answer the question.Please look at the list below and specify which one you would most prefer in a job. Which comes second? Which comes third? Which comes fourth? Which comes fifth?
There appear to be many attractive features of government jobs, the most attractive being job security. But is this actually the case? Conduct a test to determine whether government workers (WRKGOVT: 1 = Government, 2 = Private) how a greater preference for job security.Please look at the
Working for one’s self generally means that the amount of time devoted to work is up to the individual. Is there sufficient evidence to conclude that people who work for themselves (WRKSLF: 1 = Self , 2 = Someone else) prefer shorter work hours with lots of free time?Please look at the list below
Can we infer that men and women (SEX: 1 = Male, 2 = Female) differ in their preference for work that is important and gives a feeling of accomplishment?Please look at the list below and specify which one you would most prefer in a job. Which comes second? Which comes third? Which comes fourth?
Almost everyone dreams of being rich enough to quit working. Respondents were asked, If you were to get enough money to live as comfortably as you would like for the rest of your life, would you continue to work, or would you top working (RICHWORK: 1 = Continue working, 2 = Stop working)? Is
Refer to Exercise 19.21. For those who would continue working is it because they consider the work important? Test to determine whether those who would continue working have a higher preference for work they consider important and gives them a feeling of accomplishment.In exercise 19.21Almost
Can we infer that men and women (SEX: 1 = Male, 2 = Female) differ in their preference for jobs where there is a chance for advancement?Please look at the list below and specify which one you would most prefer in a job. Which comes second? Which comes third? Which comes fourth? Which comes fifth?
Do Democrats and Republicans (PARTYID3:1 = Democrat, 3 = Republican) differ in their views about the federal income tax that they have to pay (TAX: Do you consider the amount of federal income tax which you have to pay as too high, about right, or too low: 1 = Too high, 2 = About right, 3 = Too
Refer to Exercise 19.24. Is there sufficient evidence to infer that people who work for themselves (WRKSLF: 1 = Self-employed, 2 = Work for someone else) differ from those who work for someone else with respect to how they describe the federal income tax they have to pay?In exercise 19.24Do
Can we infer that women are more likely than men to lose their jobs in the next 12 months (JOBLOSE: In the next 12 months how likely is it that you will lose your job or be laid off: 1 = Very likely, 2 = Fairly likely, 3 = Not too likely, 4 = Not likely)?
It is well known that on average women live about four years longer than men. However, are they healthier? Conduct a test to determine if women (SEX: 1 = Male, 2 = Female) consider themselves to be healthier than men (HEALTH: 1 = Excellent, 2 = Good, 3 = Fair, 4 = Poor).
Is there sufficient evidence to infer that Americans were healthier (HEALTH: 1 = Excellent, 2 = Good, 3 = Fair, 4 = Poor) in 2012 than in 2014?
Were Americans more worried about their chances of losing their jobs (JOBLOSE: 1 = Very likely, 2 = Fairly likely, 3 = Not too likely, 4 = Not likely) in 2012 than in 2014?
Were Americans more optimistic about their children’s standard of living (KIDSSOL: When your children are at the age you are now, do you think their standard of living will be 1 = Much better, 2 = Somewhat better, 3 = About the same, 4 = Somewhat worse, or 5 = Much worse than your standard of
Refer to Exercise 13.79, which asked whether there is enough evidence to conclude that heads of households with college degrees (EDCL: 3 = some college, 4 = college degree) have more assets than those who have some college (ASSET).a. The appropriate technique in Chapter 13 was the t-test of the
“Is there sufficient evidence that middle-class heads of households who work for someone else (OCCAT1: 1 = Someone else, 2 = Self employed/partnership) have higher incomes that heads of households who are self-employed (INCOME)?”a. What is the required condition for a t-test of the difference
Refer to Exercise 13.77.a. What is the required condition to apply the t-test of two means to determine whether there is enough evidence to conclude that male heads of households (HHSEX: 1 = Male, 2 = Female) have higher incomes than do female heads of households (INCOME)?b. Is the required
Exercise 13.80 asked whether there is enough evidence to conclude that households whose heads have some college (EDCL: 3 = some college, 4 = college degree) have less debt (DEBT) than households whose heads completed a college degree.a. In order to use the t-test of the difference between two means
In a matched pairs experiment, if we find 30 negative, 5 zero, and 15 positive differences, perform the sign test to determine whether the two population locations differ. (Use a 5% significance level.)
Suppose that in a matched pairs experiment we find 28 positive differences, 7 zero differences, and 41 negative differences. Can we infer at the 10% significance level that the location of population 1 is to the left of the location of population 2?
A matched pairs experiment yielded the following results:Positive differences: 18Zero differences: 0Negative differences: 12Can we infer at the 5% significance level that the location of population 1 is to the right of the location of population 2?
Use the sign test on the following data to determine whether the location of population 1 is to the right of the location of population 2. (Use α = .05.) Pair: Sample 1 5 3 4 2 3 4 3 5 4 3 4 5 4 5 3 2 Sample 2 3 2 4 33 13 4 2 5 1 2 2 3 1 2 123 45 6 7 89 10 11 12 13 14 15 16
Given the following statistics from a matched pairs experiment, perform the Wilcoxon signed rank sum test to determine whether we can infer at the 5% significance level that the two population locations differ.T+ = 660 T− = 880 n = 55
A matched pairs experiment produced the following statistics. Conduct a Wilcoxon signed rank sum test to determine whether the location of population 1 is to the right of the location of population 2. (Use ‑ = .01.)T+ = 3,457 T− = 2,429 n = 108
Perform the Wilcoxon signed rank sum test for the following matched pairs to determine whether the two population locations differ. (Use α = .10.) 4 3 12 13 9. 5 10 Pair Sample 1 Sample 2 9. 10 9 11 3
Perform the Wilcoxon signed rank sum test to determine whether the location of population 1 differs from the location of population 2 given the data shown here. (Use α= .05.) 1 2 3 4 5 6 7 8 9 10 11 12 Sample 1 18.2 14.1 24.5 11.9 9.5 12.1 10.9 16.7 19.6 8.4 21.7 23.4
a. In a taste test of a new beer 100 people rated the new beer and the leading brand on the market. The possible ratings were Poor, Fair, Good, Very good, and Excellent. The responses for the new beer and the leading beer were recorded using a 1-2-3-4-5 coding system. Can we infer that the new beer
a. A random sample of 50 people was asked to rate two brands of ice cream using the following responses:DeliciousOKNot badTerribleThe responses were converted to codes 4, 3, 2, and 1, respectively. Can we infer that Brand A is preferred?b. The responses were recoded using the values 28-25-16-3. Can
Suppose that the responses have been recorded in the following way:6 = Ride is very uncomfortable.24 = Ride is quite uncomfortable.28 = Ride is neither uncomfortable nor comfortable.53 = Ride is quite comfortable.95 = Ride is very comfortable.a. Do these data allow us to conclude that the European
a. Data from a matched pairs experiment were recorded. Use the sign test to determine whether the population locations differ.b. Repeat Part (a) using the Wilcoxon signed rank sum test.c. Why do the answers to Parts (a) and (b) differ?This question requires the use of a computer and software. Use a
Suppose that the housework study referred to in Exercise 19.10 was repeated with some changes. In the revised experiment, 60 women were asked last year and again this year how many hours of housework they perform weekly. Can we conclude at the 1% significance level that women as a group are doing
At the height of the energy shortage during the 1970s, governments were actively seeking ways to persuade consumers to reduce their energy consumption. Among other efforts undertaken, several advertising campaigns were launched. To provide input on how to design effective advertising messages, a
A locksmith is in the process of selecting a new key-cutting machine. If there is a difference in key-cutting speed between the two machines under consideration, he will purchase the faster one. If there is no difference, he will purchase the cheaper machine. The times (in seconds) required to cut
A large sporting-goods store located in Florida is planning a renovation that will result in an increase in the floor space for one department. The manager of the store has narrowed her choice about which department’s floor space to increase to two possibilities: the tennis-equipment department
Does the brand name of an ice cream affect consumers’ perceptions of it? The marketing manager of a major dairy pondered this question. She decided to ask 60 randomly selected people to taste the same flavor of ice cream in two different dishes.The dishes contained exactly the same ice cream but
Do children feel less pain than adults? That question was addressed by nursing professors at the University of Alberta and the University of Saskatchewan. Suppose that in a preliminary study, 50 8-year-old children and their mothers were subjected to moderately painful pressure on their hands. Each
In a study to determine whether gender affects salary offers for graduating MBA students, 45 pairs of students were selected. Each pair consisted of a male and a female student who had almost identical grade-point averages, courses taken, ages, and previous work experience. The highest salary
Admissions officers at universities and colleges face the problem of comparing grades achieved at different high schools. As a step toward developing a more informed interpretation of such grades, an admissions officer at a large state university conducts the following experiment. The records of
Some movie studios believe that by adding sexually explicit scenes to the home video version of a movie, they can increase the movie’s appeal and profitability. A studio executive decided to test this belief. She organized a study that involved 40 movies that were rated PG-13. Versions of each
The survey asked these two questions.1. Compared to your parents at your age is your standard of living . . . (PARSOL: 1 = Much better, 2 = Somewhat better, 3 = About the same, 4 = Somewhat worse, 5= Much worse)?2. When your children are at your age will their standard of living be. . . (KIDSSOL 1
Can we infer from the data that jobs that are most secure (JOBLOSE: 1 =Very likely, 2 = Fairly likely, 3 = Not too likely, 4 = Not likely) are also the most satisfying (SATJOB: 1 = Very satisfied, 2 = Moderately satisfied, 3 = A little dissatisfied, 4 = Very dissatisfied)?
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