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mathematics
statistics for management
Questions and Answers of
Statistics for Management
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
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,
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
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
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
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
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
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
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
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 =
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 =
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.
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
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
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
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
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
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
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
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
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
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
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
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
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
A survey of statistics professors asked them to rate the importance of teaching nonparametric techniques. The possible responses areVery importantQuite importantSomewhat importantNot too importantNot
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
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
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
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
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
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
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
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 =
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
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:
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 =
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
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
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
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
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
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
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,
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
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 =
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
“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
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
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
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%
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
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
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
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
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
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
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=
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
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.
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
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
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
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
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
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
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
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
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
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
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
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=
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
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