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mathematics
statistics

Questions and Answers of Statistics

An operations manager wants to examine the effect of air-jet pressure (in pounds per square inch [psi]) on the breaking strength of yam. Three different levels of air-jet pressure are to be
Suppose that, when setting up the experiment in Problem 11.38, the operations manager is able to study the effect of side-to-side aspect in addition to air-jet pressure. Thus, instead of the
Consider an experiment with three groups, with seven values in each. a. How many degrees of freedom are there in determining the among-group variation? b. How many degrees of freedom are there in
Refer to the room service experiment in Problem 11.40. Now suppose that the results are as shown below and stored in Breakfast2- Repeat (a) through (e). Using these data, and compare the results to
A pet food company has the business objective of having the weight of a can of cat food come as close to the specified weight as possible. Realizing that the size of the pieces of meat contained in a
Consider an experiment with four groups, with eight values in each. For the ANOVA summary table below, fill in all the missing results:
You are working with the same experiment as in Problem 11.5.a. At the 0.05 level of significance, state the decision rule for testing the null hypothesis that all four groups have equal population
Accounting Today identified the top accounting firms in 10 geographic regions across the United States. Even though all 10 regions reported growth in 2011, the Capital, Great Lakes, Mid-Atlantic, and
Students in a business statistics course performed a completely randomized design to test the strength of four brands of trash bags. One-pound weights were placed into a bag, one at a time, until the
A hospital conducted a study of the waiting time in its emergency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing waiting time for
Determine the critical value of x2 with 1 degree of freedom in each of the following circumstances:a. a = 0.01b. a = 0.005c. a = 0.10
How do Americans feel about ads on websites? A survey of 1,000 adult Internet users found that 670 opposed ads on websites. (Data extracted from S. Clifford, 'Tracked for Ads? Many Americans Say No
Consider a contingency table with two rows and five columns.a. How many degrees of freedom are there in the contingency table?b. Determine the critical value for a = 0.05.c. Determine the critical
Use the following contingency table:a. Compute the expected frequency for each cell.b. Compute X2STAT- IS it significant at a = 0.05?
Use the following contingency table:a. Compute the expected frequency for each cell.b. Compute X2STAT- IS it significant at a - 0.05?
Do workers prefer to buy lunch rather than pack their own lunch? A survey of employed Americans found that 75% of the 18- to 24-year-olds, 77% of the 25- to 34-year-olds, 72% of the 35- to
What are travelers' technologies of choice? Tablets account for a growing share of the multiuse devices travelers are using. An observational study of passengers on air, bus, and train travel found
Social media users use a variety of vices to access social networking; mobile phones are increasingly popular. However, is there a difference in the various age groups in the proportion of social
Repeat (a) and (b) of Problem 12.16, assuming that only 50 social media users for each age group were surveyed. Discuss the implications of sample size on the x2 test for differences among more than
Who uses a cell phone while watching TV? The Pew Research Center's Internet and American Life Project measured the prevalence of multiscreen viewing experiences by asking American adults who are cell
The GMI Ratings' 2012 Women on Boards Survey showed incremental improvements in most measures of female board representation in the past year. The study reported that 90 of 101 (89%) of French
Determine the critical value of x2 with 1 degree of freedom in each of the following circumstances:a. a = 0.05b. a = 0.025c. a = 0.01
If a contingency table has three rows and four columns, how many degrees of freedom are there for the x2 test of independence?
When performing a x2 test of independence in a contingency table with r rows and c columns, determine the upper-tail critical value of the test statistic in each of the following circumstances:a. a =
The owner of a restaurant serving Continental-style entrees has the business objective of learning more about the patterns of patron demand during the Friday-to-Sunday weekend time period. Data were
Is there a generation gap in the type of music that people listen to? The following table represents the type of favorite music for a sample of 1,000 respondents classified according to their age
A large corporation is interested in determining whether a relationship exists between the commuting time of its employees and the level of stress-related problems observed on the job. A study of 116
Where people look for news is different for various age groups. A study indicated where different age groups primarily get their news:At the 0.05 level of significance, is there evidence of a
The 2012 Restaurant Industry Forecast takes a closer look at today's consumers. Based on a 2011 National Restaurant Association survey, American adults are categorized into one of three consumer
Using Table E.6, determine the lower- and upper-tail critical values for the Wilcoxon rank sum test statistic, T1, in each of the following two-tail tests:a. a = 0.10, n1 = 6, n2 = 8b. a = 0.05, n1 =
Determine the lower-tail critical value for the Wilcoxon rank sum test statistic, T1, in each of the following one-tail tests: a. a = 0.05, n1 - 6, n2 = 8 b. a = 0.025, n1, = 6, n2 = 8 c. a = 0.01,n1
Use the following contingency table:a. Compute the expected frequency for each cell.b. Compare the observed and expected frequencies for each cell.c. Compute X2STAT- Is it significant at a = 0.05?
The following information is available for two samples selected from independent and similarly shaped right-skewed populations: Sample 1: n1 = 5 1.1 2.3 2.9 3.6 14.7 Sample 2: n2 = 6 2.8 4.4 4.4 5.2
A vice president for marketing recruits 20 college graduates for management training. Each of the 20 individuals is randomly assigned, to one of two groups (10 in each group). A "traditional" method
Wine experts Gaiter and Brecher use a six-category scale when rating wines: Yech, OK, Good, Very Good, Delicious, and Delicious! Suppose Gaiter and Brecher tested wines from a random sample of eight
A problem with a telephone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telephone company. The file contains samples of 20 problems reported
The management of a hotel has the business objective of increasing the return rate for hotel guests. One aspect of first impressions by guests relates to the time it takes to deliver a guest's
The lengths of life (in hours) of a sample of 40 100-watt light bulbs produced by Manufacturer A and a sample of 40 100-watt light bulbs produced by Manufacturer B are stored in Bulbs.a. Using a 0.05
Use the following contingency table:a. Compute the expected frequency for each cell.b. Compute X2STAT- Is it significant at a = 0.05?
Brand valuations are critical to CEOs, financial and marketing executives, security analysts, institutional investors, and others who depend on well-researched, reliable information for assessments
A bank with a branch located in a commercial district of a city has developed an improved process for serving customers during the noon-to-1 P.M. lunch period. The bank has the business objective of
An important feature of digital cameras is battery life, the number of shots that can be taken before the battery needs to be recharged. The file Cameras contains the battery life of 11 subcompact
For this problem, use the results of Problem 12.43.a. State the decision rule for testing the null hypothesis that all six groups have equal population medians.b. What is your statistical decision if
A pet food company has the business objective of expanding its product line beyond its current kidney- and shrimp-based cat foods. The company developed two new products-one based on chicken livers
A hospital conducted a study of the waiting time in its emergency room. The hospital has a main campus, along with three satellite locations. Management had a business objective of reducing waiting
QSR magazine has been reporting on the largest quick-serve and fast-casual brands in the United States for nearly 15 years. The file QSR contains the food segment (burger, chicken, pizza, or
An advertising agency has been hired by a manufacturer of pens to develop an advertising campaign for the upcoming holiday season. To prepare for this project, the research director decides to
A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using each of four different designs. Ten balls of each design were manufactured and brought to
A survey of 1,085 adults asked, "Do you enjoy shopping for clothing for yourself?" The results indicated that 51% of the females enjoyed shopping for clothing for themselves as compared to 44% of the
Students in a business statistics course performed an experiment to test the strength of four brands of trash bags. One-pound weights were placed into a bag, one at a time, until the bag broke. A
Undergraduate students at Miami University in Oxford, Ohio, were surveyed in order to evaluate the effect of gender and price on purchasing a pizza from Pizza Hut. Students were told to suppose that
What social media tools do marketers commonly use? The "2012 Social Media Marketing Industry Report" by Social Media Examiner (socialmediaexaminer.com) surveyed the percentage of marketers who
A company is considering an organizational change involving the use of self-managed work teams. To assess the attitudes of employees of the company toward this change, a sample of 400 employees is
A company that produces and markets continuing education programs on DVDs for the educational testing industry has traditionally mailed advertising to prospective customers. A market research study
Do social recommendations increase ad effectiveness? A study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media
A survey was conducted of 665 consumer magazines on the practices of their websites. Of these, 273 magazines reported that online-only content is copy-edited as rigorously as print content; 379
Consumer research firm Scarborough analyzed the 10% of American adults who are either "Super-banked" or "Unbanked." Super-banked consumers are defined as U.S. adults who live in a household that has
Different age groups use different media sources for news. A study on this issue explored the use of cell phones for accessing news. The study reported that 47% of users under age 50 and 15% of users
Fitting a straight line to a set of data yields the following prediction line:a. Interpret the meaning of the Y intercept, b0. b. Interpret the meaning of the slope, bx. c. Predict the value of Y for
A company that holds the DVD distribution rights to movies previously released only in theaters has the business objective of developing estimates of the sales revenue of DVDs. Toward this goal, a
The marketing manager used shelf space for pet food to predict weekly sales (stored in Pet Food)- For those data. SSR = 20,535 and SST = 30,025.a. Determine the coefficient of determination, r2, and
You used the sum-mated rating to predict the cost of a restaurant meal (stored in Restaurants). For those data, SSR = 8,126.7714 and SST= 18,810.75.a. Determine the coefficient of determination, r2,
An owner of a moving company wanted to predict labor hours, based on the cubic feet moved (stored in Moving). Using the results of that problem.a. Determine the coefficient of determination, r2, and
You used the plate gap on the bag-sealing equipment to predict the tear rating of a bag of coffee (stored in Starbucks). Using the results of that problem.a. Determine the coefficient of
If the values of X range from 2 to 25, should you use this model to predict the mean value of Y when X equals a. 3? b. -3? c. 0? d. 24? For Information: Problem 13.1
You used annual revenues to predict the value of a baseball franchise (stored in BBRevenue2012). Using the results of that problem.a. Determine the coefficient of determination, r2, and interpret its
An agent for a real estate company wanted to predict the monthly rent for apartments, based on the size of the apartment (stored in Rent). Using the results of that problem,a. Determine the
You used box office gross to predict DVD revenue (stored in Movie). Using the results of that problem,a. Determine the coefficient of determination, r2, and interpret its meaning.b. Determine the
The following results show the X values, residuals, and a residual plot from a regression analysis:Is there any evidence of a pattern in the residuals? Explain
You used the sum-mated rating to predict the cost of a restaurant meal. Perform a residual analysis for these data (stored in Pet Food)-Evaluate whether the assumptions of regression have been
The marketing manager used shelf space for pet food to predict weekly sales. Perform a residual analysis for these data (stored in Pet Food). Evaluate whether the assumptions of regression have been
You used the plate gap on the bag-sealing equipment to predict the tear rating of a bag of coffee. Perform a residual analysis for these data (stored in Starbucks- Based on these results, evaluate
The owner of a moving company wanted to predict labor hours based on the cubic feet moved. Perform a residual analysis for these data (stored in Moving). Based on these results, evaluate whether the
An agent for a real estate company wanted to predict the monthly rent for apartments, based on the size of the apartments. Perform a residual analysis for these data (stored in Rent). Based on these
Fitting a straight line to a set of data yields the following prediction line:a. Interpret the meaning of the Y intercept, b0. b. Interpret the meaning of the slope, b1. c. Predict the value of Y for
You used annual revenues to predict the value of a baseball franchise. Perform a residual analysis for these data (stored in BBRevenue2012). Based on these results, evaluate whether the assumptions
You used box office gross to predict DVD revenue. Perform a residual analysis for these data (stored in Movie). Based on these results, evaluate whether the assumptions of regression have been
The residuals for 10 consecutive time periods are as follows:a. Plot the residuals over time. What conclusion can you reach about the pattern of the residuals over time? b. Based on (a), what
The residuals for 15 consecutive time periods are as follows:a. Plot the residuals over time. What conclusion can you reach about the pattern of the residuals over time? b. Compute the Durbin-Watson
Concerning pet food sales, the marketing manager used shelf space for pet food to predict weekly sales. a. Is it necessary to compute the Durbin-Watson statistic in this case? Explain. b. Under what
What is the relationship between the price of crude oil and the price you pay at the pump for gasoline? The file Oil & Gasoline contains the price (S) for a barrel of crude oil (Cushing, Oklahoma,
A mail-order catalog business that sells personal computer supplies, software, and hard- ware maintains a centralized warehouse for the distribution of products ordered. Management is currently
A freshly brewed shot of espresso has three distinct components: the heart, body, and crema. The separation of these three components typically lasts only 10 to 20 seconds. To(use the espresso shot
The owners of a chain of ice cream stores have the business objective of improving the forecast of daily sales so that staffing shortages can be minimized during the summer season. As a starting
You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 10, you determine that r = 0.80.a. What is the value of the t test
The marketing manager of a large super market chain has the business objective of using shelf space most efficiently. Toward that goal, she would like to use shelf space to predict the sales of a
You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your ample of n = 18, you determine that b1 = +4.5 and Sb1 = 1.5.a. What is the value of
You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 20, you determine that SSR = 60 and SSE = 40.a. What is the value of
She marketing manager used shelf space for pet food to predict weekly sales. The data are stored in Pet food. From the results of that problem, b1 = 7.4 and Sbl = 1.59.a. At the 0.05 level of
You used the sum-mated rating of a restaurant to predict the cost of a meal. The data are stored in Restaurants. Using the results of that problem, b1, = 1.4689 and Sb1 = 0.1701. a. At the 0.05 level
She owner of a moving company wanted to predict labor hours, based on the number of cubic feet moved. The data are stored in Moving. Use the results of that problem.a. At the 0.05 level of
You used the plate gap in the bag-sealing equipment to predict the tear rating of a bag of coffee. The data are stored in Starbucks. Use the results of that problem.a. At the 0.05 level of
You used annual revenues to predict the value of a baseball franchise. The data are stored in BBRevenue2012. Use the results of that problem.a. At the 0.05 level of significance, is there evidence of
An agent for a real estate company wanted to predict the monthly rent for apartments, based on the size of the apartment. The data are stored in Rent. Use the results of that problem.a. At the 0.05
You used box office gross to predict DVD revenue. The data are stored in Movie. Use the results of that problem.a. At the 0.05 level of significance, is there evidence of a linear relationship
The volatility of a stock is often measured by its beta value. You can estimate the beta value of a stock by developing a simple linear regression model, using the percentage weekly change in the
Zagat's publishes restaurant ratings for various locations in the United States. The file Restaurants contains the Zagat rating for food, decor, service, and the cost per person for a sample of 100
Index funds are mutual funds that try to mimic the movement of leading indexes, such as the S&P 500 or the Russell 2000. The beta values (as described in Problem 13.49) for these funds are therefore
The file Cereals contains the calorics and sugar, in grams, in one serving of seven breakfast cereals:a. Compute and interpret the coefficient of correlation, r. b. At the 0.05 level of significance,
Movie companies need to predict the gross receipts of an individual movie once the movie has debuted. The following results (stored in Potter Movies) are the first weekend gross, the U.S. gross, and

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