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Basic Business Statistics Concepts And Applications 12th Edition Mark L. Berenson, David M. Levine, Timothy C. Krehbiel - Solutions
Suppose that, when setting up his experiment in Problem 11.54, the operations manager had access to only six samples of yarn from the batch but was able to divide each yarn sample into three parts and randomly assign them, one each, to the three air-jet pressure levels. Thus, instead of the
Suppose that, when setting up the experiment in Problem 11.54, the operations manager is able to study the effect of side-to-side aspect in addition to air-jet pressure. Thus, instead of the one-factor completely randomized design in Problem 11.54, a two-factor factorial design was used, with the
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 can and the can fill height could impact the weight of a can, a team studying the weight of canned
A hotel wanted to develop a new system for delivering room service breakfasts. In the current system, an order form is left on the bed in each room. If the customer wishes to receive a room service breakfast, he or she places the order form on the doorknob before 11 P.M. The current system requires
Refer to the room service experiment in Problem 11.58. Now suppose that the results are as follows (and stored in Breakfast2). Repeat (a) through (e), using these data, and compare the results to those of (a) through (e) of Problem 11.58.In problem 11.58a. Is there an interaction between type of
You are working with the same experiment as in Problem 11.5.i. At the 0.05 level of significance, state the decision rule for testing the null hypothesis that all four groups have equal population means.ii. What is your statistical decision?iii. At the 0.05 level of significance, what is the
There are a tremendous number of mutual funds from which an investor can choose. Each mutual fund has its own mix of different types of investments. The data in BestFunds2 represent the 3-year annualized return, 5-year annualized return, 10-year annualized return, and expense ratio (in %) for the
The data in represent the 3-year annualized return, 5-year annualized return, 10-year annualized return, and expense ratio (in %) for the 10 mutual funds rated best by the U.S. News &World Report for intermediate municipal bond, short-term bond, and intermediate-term bond categories. (Data
In a recent wine tasting held by the J. S.Wine Club, club members rated eight wines. Information concerning the country of origin and the price were not known to the club members until after the tasting took place. The wines rated (and the prices paid for them) were• French white, $10.59•
Ignore the blocking variable in Problem 11.62.In problem 11.62In a recent wine tasting held by the J. S.Wine Club, club members rated eight wines. Information concerning the country of origin and the price were not known to the club members until after the tasting took place. The wines rated (and
Completely analyze the difference between below average- risk, average-risk, and above-average-risk bond mutual funds in terms of 2009 return, three-year return, five-year return, and expense ratio. Write a report summarizing your findings.
a. At the 0.05 level of significance, is there evidence of a difference based on academic major in grade point average, expected starting salary, age, number of social networking sites registered for, spending on textbooks and supplies, number of text messages sent in a typical week, and the wealth
a. Is there evidence of a difference, based on undergraduate major, in age, undergraduate grade point average, graduate grade point average, expected salary upon graduation, number of text messages sent in a typical week, spending on textbooks and supplies, and the wealth needed to feel rich?b. Is
The Computer Anxiety Rating Scale (CARS) measures an individual's level of computer anxiety, on a scale from 20 (no anxiety) to 100 (highest level of anxiety). Researchers at Miami University administered CARS to 172 business students. One of the objectives of the study was to determine whether
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 bag broke. A total of 40 bags, 10 for each brand, were used. The data in give the weight (in
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 emergency room cases that did not require immediate attention. To study this, a random sample of 15
Determine the critical value of x2 with 1 degree of freedom in each of the following circumstances:a. α = 0.01b. α = 0.005c. α = 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 Thanks," The New York Times, September 30, 2009, p. B3.) Suppose that a survey of 1,000 Internet
Use the following contingency table:a. Compute the expected frequencies for each cell.b. Compute x2STAT. Is it significant at α = 0.05?
Use the following contingency table:a. Compute the expected frequencies for each cell.b. Compute x2STAT. Is it significant at α = 0.05?c. If appropriate, use the Marascuilo procedure and α = 0.05 to determine which groups are different.
How do Americans feel about online ads tailored to their individual interests? A survey of 1,000 adult Internet users found that 55% of the 18 to 24 year olds, 59% of 25 to 34 year olds, 66% of 35 to 49 year olds, 77% of 50 to 64 year olds, and 82% of 65 to 89 year olds opposed such ads. (Data
How do Americans feel about online discounts tailored to their individual interests? A survey of 1,000 adult Internet users found that 37% of the 18 to 24 year olds, 44% of 25 to 34 year olds, 50% of 35 to 49 year olds, 58% of 50 to 64 year olds, and 70% of 65 to 89 year olds opposed such
More shoppers do the majority of their grocery shopping on Saturday than any other day of the week. However, is there a difference in the various age groups in the proportion of people who do the majority of their grocery shopping on Saturday? A study showed the results for the different age
Repeat (a) and (b) of Problem 12.16, assuming that only 50 shoppers for each age group were surveyed. Discuss the implications of sample size on the x2 test for differences among more than two populations.In problem 12.16a. Is there evidence of a significant difference among the age groups with
Is there a generation gap in music? A study reported that 45% of 16 to 29 year olds, 42% of 30 to 49 year olds, and 33% of 50 to 64 year olds often listened to rock music. (Data extracted from A. Tugend, "Bridging the Workplace Generation Gap: It Starts with a Text," The NewYork Times, November 7,
Is there a generation gap in music? A study reported that 25% of 16 to 29 year olds, 21% of 30 to 49 year olds, and 31% of 50 to 64 year olds often listened to country music. (Data extracted from A. Tugend, "Bridging the Workplace Generation Gap: It Starts with a Text," The New York Times, November
Determine the critical value of x2 with 1 degree of freedom in each of the following circumstances:a. α = 0.05b. α = 0.005c. α = 0.10
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. α = 0.05, r = 4 rows, c = 5 columnsb. α = 0.01, r = 4 rows, c = 5 columnsc. α = 0.01, r = 4 rows, c
The owner of a restaurant serving Continental-style entrées has the business objective of learning more about the patterns of patron demand during the Friday-to-Sunday weekend time period. Data were collected from 630 customers on the type of entrée ordered and the type of dessert ordered and
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 group:At the 0.05 level of significance, is there evidence of a relationship between favorite type of
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 workers reveals the following:a. At the 0.01 level of significance, is there evidence of a
Where people turn 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 significant relationship between the age group and where people primarily get their news? If so, explain
USA Today reported on when the decision of what to have for dinner is made. Suppose the results were based on a survey of 1,000 respondents and considered whether the household included any children under 18 years old. The results are cross-classified in the following table:At the 0.05 level of
Given the following table for two related samples:a. Compute the McNemar test statistic.b. At the 0.05 level of significance, is there evidence of a difference between group 1 and group 2?
A market researcher wanted to determine whether the proportion of coffee drinkers who preferred Brand A increased as a result of an advertising campaign. A random sample of 200 coffee drinkers was selected. The results indicating preference for Brand A or Brand B prior to the beginning of the
Two candidates for governor participated in a televised debate. A political pollster recorded the preferences of 500 registered voters in a random sample prior to and after the debate:a. At the 0.01 level of significance, is there evidence of a difference in the proportion of voters who favored
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 α = 0.05?
A taste-testing experiment compared two brands of Chilean merlot wines. After the initial comparison, 60 preferred Brand A, and 40 preferred Brand B. The 100 respondents were then exposed to a very professional and powerful advertisement promoting Brand A. The 100 respondents were then asked to
The CEO of a large metropolitan health-care facility would like to assess the effect of the recent implementation of the Six Sigma management approach on customer satisfaction. A random sample of 100 patients is selected from a list of patients who were at the facility the past week and also a year
The personnel director of a large department store wants to reduce absenteeism among sales associates. She decides to institute an incentive plan that provides financial rewards for sales associates who are absent fewer than five days in a given calendar year. A sample of 100 sales associates
Determine the lower- and upper-tail critical values of x2 for each of the following two-tail tests:a. α = 0.01, n = 26b. α = 0.05, n = 17c. α = 0.10, n = 14
Determine the lower- and upper-tail critical values of for each of x2 the following two-tail tests:a. α = 0.01, n = 24b. α = 0.05, n = 20c. α = 0.10, n = 16
In Problems 12.36 and 12.37, what are the critical values from Table E.4 if the level of significance is α = 0.05 and H1 is as follows:a. σ ≠ 12?b. σ < 12?
Use the following contingency table:a. Compute the expected frequency for each cell.b. Compute x2STAT. Is it significant at α = 0.05?
If, in a sample of size n = 16 selected from a very left-skewed population, the sample standard deviation S = 24, is would you use the hypothesis test given in Equation (12.7) to test H0: σ = 20? Discuss.
A manufacturer of candy must monitor the temperature at which the candies are baked. Too much variation will cause inconsistency in the taste of the candy. Past records show that the standard deviation of the temperature has been 1.2oF. A random sample of 30 batches of candy is selected, and the
A market researcher for an automobile manufacturer intends to conduct a nationwide survey concerning car repairs. Among the questions included in the survey is the following: "What was the cost of all repairs performed on your car last year?" In order to determine the sample size necessary, the
The marketing manager of a branch office of a local telephone operating company wants to study characteristics of residential customers served by her office. In particular, she wants to estimate the mean monthly cost of calls within the local calling region. In order to determine the sample size
A manufacturer of doorknobs has a production process that is designed to provide a doorknob with a target diameter of 2.5 inches. In the past, the standard deviation of the diameter has been 0.035 inch. In an effort to reduce the variation in the process, various studies have resulted in a
A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trough that is made out of a 14-gauge steel coil. It is produced using a 250-ton progressive punch press with a wipe-down operation that puts two 90-degree forms in the flat
An important quality characteristic of interest in a teabag filling process is the weight of the tea in the individual bags. The weight of the teabags should be as consistent as possible. In the past, the standard deviation of the weight of the teabags has been 0.05 grams. The file Teabags2
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. α = 0.10,n1 = 6, n2 = 8b. α = 0.05,n1 = 6, n2 = 8c. α = 0.01,n1 = 6, n2 = 8d. Given your results in (a) through (c), what do you conclude
Using Table E.6, determine the lower-tail critical value for the Wilcoxon rank sum test statistic, T1, in each of the following one-tail tests: a. α = 0.05,n1 = 6, n2 = 8 b. α = 0.025,n1 = 6, n2 = 8 c. α = 0.01,n1 = 6, n2 = 8 d. α = 0.005,n1 = 6, n2 = 8
A sample of 500 shoppers was selected in a large metropolitan area to determine various information concerning consumer behavior. Among the questions asked was, "Do you enjoy shopping for clothing?" The results are summarized in the following contingency table:a. Is there evidence of a significant
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 14.7Sample 2: n2 = 6 2.8 4.4 4.4 5.2 6.0 18.5a. Replace the observed values with the corresponding ranks (where 1 = smallest value; n
A vice president for marketing recruits 20 college graduates for management training. Each of the 20 individuals is randomly assigned, 10 each, to one of two groups. A "traditional" method of training (T) is used in one group, and an "experimental" method (E) is used in the other. After the
Wine experts Gaiter and Brecher use a six-category scale when rating wines: Yech, OK, Good, Very Good, Delicious, and Delicious! (Data extracted from D. Gaiter and J. Brecher, "A Good U.S. Cabernet Is Hard to Find," The Wall Street Journal, May 19, 2006, p. W7.) Suppose Gaiter and Brecher tested a
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 Phone contains samples of 20 problems reported to two different offices of a telephone company and the time to clear these problems (in
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 luggage to the room after check-in to the hotel. A random sample of 20 deliveries on a particular day were
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 level of significance, is there evidence of a difference in the median life of bulbs produced by
Has the ease of removing your name from an e-mail list changed? A study of 100 large online retailers revealed the following:a. Set up the null and alternative hypotheses to try to determine whether the effort it takes to be removed from an e-mail list has changed.b. Conduct the hypothesis test
Nondestructive evaluation is used to measure the properties of components or materials without causing any permanent physical change to the components or materials. It includes the determination of properties of materials and the classification of flaws by size, shape, type, and location.
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 reducing the waiting time (defined as the time elapsed from when the customer enters the line until
Digital cameras have taken over the majority of the point-and-shoot camera market. One of the important features of a camera is the battery life, as measured by the number of shots taken until the battery needs to be recharged. The file contains the battery life of 29 subcompact cameras and 16
For this problem, use the results of Problem 12.63.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 the computed value of the test statistic H is 13.77?
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 and the other based on salmon. The company conducted an experiment to compare the two new products
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 time for emergency room cases that did not require immediate attention. To study this, a random
The per-store daily customer count (i.e., the mean number of customers in a store in one day) for a nationwide convenience store chain that operates nearly 10,000 stores has been steady, at 900, for some time. To increase the customer count, the chain is considering cutting prices for coffee
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 initiate a study of the effect of advertising on product perception. An experiment is designed to compare
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 the local golf course for the club professional to test. The order in which the balls were hit with
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 reported that online-only content is fact-checked as rigorously as print content. (Data extracted from S.
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 total of 40 bags were used (10 for each brand). The file Trashbags gives the weight (in pounds)
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 they were planning to have a large two-topping pizza delivered to their residence that evening. The
According to U.S. Census estimates, there were about 20 million children between 8 and 12 years old (referred to as tweens) in the United States in 2009.A recent survey of 1,223 8- to 12-year-old children (S. Jayson, "It's Cooler Than Ever to Be a Tween," USA Today, February 4, 2009, pp. 1A, 2A)
Do people of different age groups differ in their response to e-mail messages? A survey by the Center for the Digital Future of the University of Southern California reported that 70.7% of users over age 70 believe that e-mail messages should be answered quickly, as compared to 53.6% of users 12 to
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 selected and asked whether they favor the institution of self-managed work teams in the organization.
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 was undertaken to compare two approaches: mailing a sample DVD upon request that contained highlights
A market researcher investigated consumer preferences for Coca-Cola and Pepsi before a taste test and after a taste test. The following table summarizes the results from a sample of 200 consumers:a. Is there evidence of a difference in the proportion of respondents who prefer Coca-Cola before and
A market researcher was interested in studying the effect of advertisements on brand preference of people purchasing a new personal computer. Prospective purchasers of new computers were first asked whether they preferred Apple or Dell and then watched video advertisements of comparable models of
a. Construct 2 × 2 a contingency table, using fees as the row variable and type as the column variable.b. At the 0.05 level of significance, is there evidence of a significant relationship between the type of bond mutual fund and whether there is a fee?
a. Construct a 2 × 3 contingency table, using fees as the row variable and risk as the column variable.b. At the 0.05 level of significance, is there evidence of a significant relationship between the perceived risk of a bond mutual fund and whether there is a fee?
a. Construct a 3 × 2 contingency table, using risk as the row variable and category as the column variable.b. At the 0.05 level of significance, is there evidence of a significant relationship between the category of a bond mutual fund and its perceived risk?
Problem 1.27 on page 14 describes a survey of 62 undergraduate students (stored in UndergradSurvey). For these data, construct contingency tables, using gender, major, plans to go to graduate school, and employment status. (You need to construct six tables, taking two variables at a time.) Analyze
Problem 1.28 on page 15 describes a survey of 44 MBA students (see the file GradSurvey). For these data, construct contingency tables, using gender, undergraduate major, graduate major, and employment status. (You need to construct six tables, taking two variables at a time.) Analyze the data at
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 age 50 and over accessed news on their cell phones. (Data extracted from "Cellphone Users Who
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 X = 3.
A company that holds the DVD distribution rights to movies previously released only in theaters wants to estimate sales revenue of DVDs based on box office success. The box office gross (in $millions) for each of 22 movies in the year that they were released and the DVD revenue (in $millions) in
In Problem 13.4 on page 531, the marketing manager used shelf space for pet food to predict weekly sales (stored in Petfood). For those data, SSR = 20,535 and SST = 30,025.a. Determine the coefficient of determination, r2, and interpret its meaning.b. Determine the standard error of the estimate.c.
In Problem 13.5 on page 531, you used the summated rating to predict the cost of a restaurant meal (stored in Restaurants). For those data, SSR = 6,591.3963 and SST = 15,890.11a. Determine the coefficient of determination, r2, and interpret its meaning.b. Determine the standard error of the
In Problem 13.6 on page 531, 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 interpret its meaning.b. determine the standard error of the
In Problem 13.7 on page 531, you used the number of customers to predict the waiting time at the checkout line in a supermarket (stored in Supermarket). Using the results of that problem,a. Determine the coefficient of determination, r2, and interpret its meaning.b. Determine the standard error of
In Problem 13.8 on page 531, you used annual revenues to predict the value of a baseball franchise (stored in BBRevenue). Using the results of that problem,a. Determine the coefficient of determination, r2, and interpret its meaning.b. Determine the standard error of the estimate.c. How useful do
In Problem 13.9 on page 532, 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 coefficient of determination, and interpret its meaning. b. Determine the
In Problem 13.10 on page 532, 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 standard error of the estimate.c. How useful do you think this regression
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.
In Problem 13.5 on page 531, you used the summated rating to predict the cost of a restaurant meal. Perform a residual analysis for these data (stored in Restaurents). Evaluate whether the assumptions of regression have been seriously violated. In problem Zagat's publishes restaurant ratings for
In Problem 13.4 on page 531, the marketing manager used shelf space for pet food to predict weekly sales. Perform a residual analysis for these data (stored in Petfood). Evaluate whether the assumptions of regression have been seriously violated.In problem
In Problem 13.7 on page 531, you used the number of customers to predict the waiting time at a supermarket checkout. Perform a residual analysis for these data (stored in Supermarket). Based on these results, evaluate whether the assumptions of regression have been seriously violated. In problem A
In Problem 13.6 on page 531, 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 assumptions of regression have been seriously violated. In problem The
In Problem 13.9 on page 532, 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 results, evaluate whether the assumptions of regression have been
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