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Statistics For Managers Using Microsoft Excel 9th Global Edition David Levine, David Stephan, Kathryn Szabat - Solutions
12.49 A transportation strategist wanted to compare the traffic congestion levels across four continents: Asia, Europe, North America, and South America. The file Congestion Level contains congestion level, defined as the increase (%) in overall travel time when compared to a free flow situation
12.48 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
12.47 QSR magazine reports on the largest quick-serve and fast-casual brands in the United States. The file Quick-Serve Sales contains the food segment (burger, chicken, sandwich, or pizza/pasta)and U.S. mean sales per unit ($thousands) for each of 50 quick-service brands.a. At the 0.05 level of
12.46 A hospital conducted a study of the waiting time in its emergency room. The hospital has a main campus, along with three affiliated locations. Management had a business objective of reducing waiting time for emergency room cases that did not require immediate attention. To study this, a
12.45 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
12.44 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 the computed value of the test statistic H is 13.77?APPLYING THE CONCEPTS
12.43 What is the upper-tail critical value from the chi-square distribution if you use the Kruskal-Wallis rank test for comparing the medians in six populations at the 0.01 level of significance?
12.44 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 the computed value of the test statistic H is 13.77?
12.43 What is the upper-tail critical value from the chi-square distribution if you use the Kruskal-Wallis rank test for comparing the medians in six populations at the 0.01 level of significance?
12.42 The file Capital Consumption contains the annual per capita consumption of butter and cheese in different countries for 2018.Source: Data extracted from CLAL.it, https://www.clal.it/en/?section=tabs_consumi_procapite.a. Is there evidence of a difference in the median annual per capita
12.41 Boston’s Pizza Restaurant and Sports Bar, also popularly known as the Boston Pizza (BP), is a Canadian multinational restaurant chain that has over 40 locations in Canada, the United States, and Mexico. Their delivery hours are from 11:00am to 12:30am. To ensure their pizzas are being
12.40 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 and comparisons in decision making. Kantar Millward Brown annually publish the BrandZ Top
12.39 The lengths of life (in hours) of a sample of 40 6-watt light emitting diode (LED) light bulbs produced by Manufacturer A and a sample of 40 6-watt LED 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
12.38 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
12.37 Is there a difference in the satisfaction rating of traditional cellphone providers who bill for service at the end of a month often under a contract and prepaid cellphone service providers who bill in advance without a contract? The file Cellphone Providers contains the satisfaction rating
12.36 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 inexpensive California Cabernets and a random sample of eight inexpensive Washington
12.35 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 of training (T) is used in one group, and an “experimental”method (E) is used in the
12.34 In Problems 12.32 and 12.33, what is your statistical decision?
12.33 From Problem 12.32, at the 0.05 level of significance, determine the lower-tail critical value for the Wilcoxon rank sum test statistic, T1, if you want to test the null hypothesis, H0: M1 Ú M2, against the one-tail alternative, H1: M1 6 M2.
12.32 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 6 18.5a. Replace the observed values with the corresponding ranks (where 1 = smallest value; n
12.31 In Problems 12.29 and 12.30, what is your statistical decision?
12.30 In Problem 12.29, what are the lower- and upper-tail critical values for the test statistic T1 from Table E.6 if you use a 0.05 level of significance and the alternative hypothesis is H1: M1 • M2?
12.29 The following information is available for two samples selected from independent populations:Sample 1: n1 = 6 Combined ranking: 2 11 5 3 8 12 Sample 2: n2 = 7 Combined ranking: 4 6 1 7 9 10 13 What is the value of T1 if you are testing the null hypothesis H0: M1 = M2?
12.28 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. a = 0.05, n1 = 6, n2 = 8b. a = 0.025, n1 = 6, n2 = 8c. a = 0.01, n1 = 6, n2 = 8d. a = 0.005, n1 = 6, n2 = 8
12.27 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 = 6, n2 = 8c. a = 0.01, n1 = 6, n2 = 8d. Given the results in (a) through (c), what do you
12.26 PwC takes a closer look at what CEOs are looking for and are finding as new sources of value in their businesses and industries.Based on a recent Global CEO survey, CEOs are categorized by the main activity they identified that would strengthen their company in order to capitalize on new
12.25 A market analyst is reviewing three types of landed property in Singapore (terraces, detached, and semi-detached) that are owned by the three different household income groups (low, middle, and high). She organized the collected data into the following table:TYPES OF LANDED PROPERTY HOUSEHOLD
12.24 How much time per week are employees willing to devote to improve their overall health and well-being by pursuing activities such as consistent exercise, researching healthy recipes, or engaging in wellness coaching? A study by UnitedHealthcare revealed the following results:TIME PER WEEK AGE
12.23 The following table contains the percentage of Internet users across four generations who have used different social media platforms in September 2019.GENERATION SOCIAL MEDIA PLATFORM YouTube Facebook Instagram WhatsApp Twitter Gen Z 89% 77% 74% 65% 48%Millennial 88% 83% 67% 66% 49%Gen X 84%
12.22 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 and dessert ordered and organized into the
12.21 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 = 0.025, r = 6 rows, c = 4 columnsb. a = 0.05, r = 4 rows, c = 5 columnsc. a = 0.01, r = 3
12.20 What elements are required in determining the critical values in the x2 distribution table?
12.19 The MSCI 2018 Survey of Women on Boards showed that there continues to be a slow increase in the overall percentage of women on boards globally. The study reported that 72 of 72 (100%) French companies sampled, 49 of 62 (79%) German companies sampled, 14 of 24 (58.3%) Irish companies sampled,
12.18 What kinds of activities do you engage in when using a device while viewing video content on a TV screen? An IAB and MARU Matchbox study captured multitasking activities of adults who use different devices while watching TV. The study reported that 320 of 444 (72%) smartphone users sampled,
12.17 Repeat (a) and (b) of Problem 12.16, assuming that only a quarter of complaints was closed within the six-month reporting period for the five different product categories. Discuss the implications of sample size on the x2 test for differences among more than two populations.
12.16 Financial Conduct Authority provides the complaints at firms by five different product categories(banking and credit cards, decumulation and pensions, home finance, insurance and pure protection, and investments) for the first half of 2019. Here, we analyze on the Bank of Scotland plc, which
12.14 A growing share of Americans use smartphones as their primary means of online access at home. A survey of U.S. adults found that 58% of the 18- to 29-year-olds, 47% of the 30- to 49-year-olds, 27% of the 50- to 64-year-olds, and 15% of those age 65 or older mostly use a smartphone to go
12.13 Use the following contingency table:A B C Total 1 20 45 10 75 2 15 25 35 75 Total 35 70 45 150a. Compute the expected frequency for each cell.b. Compute xSTAT 2 . Is it significant at a = 0.05?
12.12 Use the following contingency table:A B C Total 1 10 30 50 90 2 40 45 50 135 Total 50 75 100 225a. Compute the expected frequency for each cell.b. Compute xSTAT 2 . Is it significant at a = 0.05?
12.11 Consider a contingency table with three rows and four 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 value for a = 0.01.
12.10 Does cobrowsing have positive effects on the customer experience? Cobrowsing refers to the ability to have a contact center agent and customer jointly navigate an application (e.g., web page, digital document, or mobile application) on a real time basis through the web. A study of businesses
12.9 Christmas is a festival during which billions of people from around the world celebrate the spirit of love and hope on December 25. However, there are some countries that don’t celebrate it or declare it to be a public holiday. Out of 47 countries in Asia-Pacific, 4 do not declare Christmas
12.8 The Society for Human Resource Management(SHRM) collaborated with Globoforce on a series of organizational surveys with the goal of identifying challenges that HR leaders face and what strategies help them conquer those challenges.A recent survey indicates that employee retention/turnover(46%)
12.7 Are you an impulse shopper? A survey of 500 grocery shoppers indicated that 29% of males and 40% of females make an impulse purchase every time they shop.Source: Data extracted from “Women shoppers are impulsive while men snap up bargains,” available at bit.ly/2sLYmVx.Assume that the
12.6 Does Cable Video on Demand (VOD D4+) increase ad effectiveness? A recent VOD study compared general TV and VOD D4+ audiences after viewing a brand ad. Whether the viewer indicated that the ad made them want to visit the brand website was collected and organized in the following table.MADE ME
12.5 Acesion Pharma, a Danish biotech company developing treatments for atrial fibrillation, is conducting a clinical study for its lead compound AP30663. The first phase study, conducted in 2018 to assess the safety and tolerability of the compound in 48 healthy subjects, showed positive results.
12.4 Use the contingency table to answer the following questions:A B Total 1 fo = 54 fe = __ fo = __ fe = 33.6 98 2 fo = 38 fe = 27.6 fo = __ fe = __ Total ____ ____ 140a. Fill in the blanks for the contingency table.b. Compute xSTAT 2 . Is it significant at a = 0.01?
12.3 Use the following contingency table:A B Total 1 25 36 61 2 65 24 89 Total 90 60 150a. Compute the expected frequency for each cell.b. Compare the observed and expected frequencies for each cell.c. Compute xSTAT 2 . Is it significant at a = 0.05?
12.2 Determine the critical value of x2 with 15 df in each of the following circumstances:a. a = 0.025b. a = 0.75c. a = 0.95
12.1 In each of the following circumstances, determine:a. the x2 critical value if c = 5, r = 3, and a = 0.10b. the x2 critical value if df = 10 and a = 0.05c. the p-value if xSTAT 2 = 10.15 and df = 5
11.42 The 2018 Global Cancer Statistics (Globocan) estimates the incidence and mortality worldwide for 36 types of cancers in 185 countries. The distribution of proportion of incidence and mortality for the 10 most common type of cancers in 2018, categorized by gender, are stored in the file Cancer
11.41 Refer to the room service experiment in Problem 11.40.Now suppose that the results are as shown below and stored in Breakfast Results . Repeat (a) through (e), using these data, and compare the results to those of (a) through (e) of Problem 11.40.DESIRED TIME Early Late Continental 1.2 -0.5
11.40 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
11.39 Suppose that, when setting up the experiment in Problem 11.38, the operations manager is able to study the effect of side-toside aspect in addition to air-jet pressure. Thus, instead of the one-factor completely randomized design in Problem 11.38, a two-factor factorial design was used, with
11.38 An operations manager wants to examine the effect of air-jet pressure (in pounds per square inch [psi]) on the breaking strength of yarn. Three different levels of air-jet pressure are to be considered:30 psi, 40 psi, and 50 psi. A random sample of 18 yarns are selected from the same batch,
11.37 The Malaysian Communications and Multimedia Commission(MCMC) conducts the Internet Users Survey (IUS), an annual survey that provides data on the characteristics and behaviors of Internet users in Malaysia, and analyzes the changes in users’behavior and trends. For 2016–2018, among select
11.36 Is a 3-year university degree in education bringing you career success? Factors like major, personality, culture, external and internal support may influence the success of your career. Some even say that gender plays a role in gaps in careers and pay. A study had been conducted to identify
11.35 How can you determine whether there is an interaction in the two-factor factorial design?
11.34 What is meant by the concept of interaction in a two-factor factorial design?
11.33 Under what conditions should you use the two-way ANOVA F test to examine possible differences among the means of each factor in a factorial design?
11.32 What is the difference between the one-way ANOVA F test and the Levene test?
11.31 When and how should you use multiple comparison procedures for evaluating pairwise combinations of the group means?
11.30 Under what conditions should you use the one-way ANOVA F test to examine possible differences among the means of c independent populations?
11.29 What are the assumptions of ANOVA?
11.28 What are the distinguishing features of the completely randomized design and two-factor factorial designs?
11.27 In a one-way ANOVA, what is the difference between the among-groups variance MSA and the within-groups variance MSW?
11.26 In the Agricultural Commodities quarterly report March 2019, the Australian Government reported the farm performance on broadacre and dairy farms between 2016–2017 and 2018–2019.The financial farm performance of farm cash income and farm business profit in Victoria and New South Wales by
11.25 The Reuters Institute Digital News Report 2018 explored the changing environment around news across countries. The report found that Denmark has two public broadcasters (DR and TV2), a national and a local press which are partly dependent on state subsidies.The report summarized the
11.24 A plastic injection molding process is often used in manufacturing because of its ability to mold complicated shapes. An experiment was conducted on the manufacture of a television remote part, and the warpage (mm) of the part was measured and stored in TV Remote .Source: Data extracted from
11.23 Referring to Problem 11.22, the effect of die temperature and die diameter on the foam diameter was also measured and the results stored in Packaging Foam 2 .At the 0.05 level of significance,a. is there an interaction between die temperature and die diameter?b. is there an effect due to die
11.22 An experiment was conducted to study the extrusion process of biodegradable packaging foam. Two of the factors considered for their effect on the unit density (mg>ml) were the die temperature(145 °C vs. 155 °C) and the die diameter (3 mm vs. 4 mm). The results are stored in Packaging Foam 1
11.21 Given the results from Problem 11.20,a. at the 0.05 level of significance, is there an effect due to factor A?b. at the 0.025 level of significance, is there an effect due to factor A?c. at the 0.01 level of significance, is there an effect due to factor A?
11.20 Given a two-factor factorial experiment and the ANOVA summary table that follows, fill in all the missing results:Source Degrees of Freedom Sum of Squares Mean Square(Variance) F A r - 1 = 2 SSA = ? MSA = 80 FSTAT = ?B c - 1 = ? SSB = 220 MSB = ? FSTAT = 11.0 AB (r - 1)(c - 1) = 8 SSAB = ?
11.19 Given a two-way ANOVA with 5 levels for factor A, 3 levels for factor B, and 5 replicates in each of the 20 cells, with SSA = 48, SSB = 20, SSE = 120, and SST = 204,a. form the ANOVA summary table and fill in all values in the body of the table.b. at the 0.05 level of significance, is there
11.18 Given the results from Problems 11.15 through 11.17,a. at the 0.05 level of significance, is there an effect due to factor A?b. at the 0.05 level of significance, is there an effect due to factor B?c. at the 0.05 level of significance, is there an interaction effect?
11.17 Assume that you are working with the results from Problems 11.15 and 11.16.a. What is the value of the FSTAT test statistic for the interaction effect?b. What is the value of the FSTAT test statistic for the factor A effect?c. What is the value of the FSTAT test statistic for the factor B
11.16 Assume that you are working with the results from Problem 11.15, and SSA = 150, SSB = 120, SSE = 240, and SST = 570.a. What is SSAB?b. What are MSA and MSB?c. What is MSAB?d. What is MSE?
11.15 Consider a two-factor factorial design with four levels for factor A, three levels for factor B, and three replicates in each of the nine cells.a. How many degrees of freedom are there in determining the factor A variation and the factor B variation?b. How many degrees of freedom are there in
11.14 A transportation strategist wanted to compare the traffic congestion levels across four continents: Asia, Europe, North America, and South America. The file Congestion Level contains congestion level, defined as the increase (%) in overall travel time when compared to a free flow situation
11.13 A boutique in Melbourne, Australia, sells various types of products—apparel, accessories, beauty products, skin care products, and footwear. The boutique wants to increase its sales by focusing on retaining loyal customers and by attracting new ones. The owners have come up with unique
11.12 With the rapid industrial development in China causes various forms of pollution have increased and have caused widespread environmental health problems. Air pollution has become the major issue in China and poses a threat to the public health.The four major cities allocated at north, south,
11.11 A survey conducted by Eat This, Not That! ranked fastfood burgers by calories to help consumers ensure that the fast food burger they choose packs in a day’s worth of calories.The file Burger contains the burgers calories selling in four different fast-food restaurants—McDonald’s,
11.10 A manufacturer of pens has hired an advertising agency 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
11.9 Train delays often occur due to operational issues, unfavorable weather, incidents, and accidents. A study is conducted to track train schedule delays in order to prevent such delays and help passengers plan better. The study selects a random sample of 20 cases of schedule delays for each of
11.8 The more costly and time-consuming it is to export and import, the more difficult it is for local companies to be competitive and to reach international markets. As part of an initial investigation exploring foreign market entry, 10 countries were selected from each of four global regions. The
11.7 The Organization for Economic Co-operation and Development(OECD) is an international organization that works to build better policies for better lives. The file Oil contains the three main regions under the OECD’s oil demand (in million barrels per day)for the four quarters in 2018.Quarter
11.6 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 means.b. What is your statistical decision?c. At the 0.05 level of significance, what is the
11.5 Consider an experiment with four groups, with eight values in each. For the ANOVA summary table below, fill in all the missing results:Source Degrees of Freedom Sum of Squares Mean Square(Variance) F Among groups c - 1 = ? SSA = ? MSA = 80 FSTAT = ?Within groups n - c = ? SSW = 560 MSW =
11.4 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 determining the within-group variation?c. How many degrees of freedom are there in determining the
11.3 You are working with the same experiment as in Problem 11.2.a. Construct the ANOVA summary table and fill in all values in the table.b. At the 0.05 level of significance, what is the upper-tail critical value from the F distribution?c. State the decision rule for testing the null hypothesis
11.2 An experiment in determining the among-group variation has three groups and five values in each group. If SSA = 55 and SST = 165,a. what is SSW?b. what is MSA?c. what is MSW?d. what is the value of FSTAT?
11.1 An experiment has a single factor with five groups and seven values in each group.a. How many degrees of freedom are there in determining the among-group variation?b. How many degrees of freedom are there in determining the within-group variation?c. How many degrees of freedom are there in
10.70 Referring to the results of Problems 10.67 and 10.68 concerning the weight and granule loss of Boston and Vermont shingles, write a report that summarizes your conclusions.
10.69 An analytical report reports that millennials spend more on groceries than other generational groups. On average the young adults report spending $797 per month on groceries which is a higher amount than any other age group. The reason millennials are spending more on groceries is because
10.68 The manufacturer of Boston and Vermont asphalt shingles provides its customers with a 20-year warranty on most of its products. To determine whether a shingle will last as long as the warranty period, the manufacturer conducts accelerated-life testing.Accelerated-life testing exposes the
10.67 The manufacturer of Boston and Vermont asphalt shingles knows that product weight is a major factor in the customer’s perception of quality. Moreover, the weight represents the amount of raw materials being used and is therefore very important to the company from a cost standpoint. The last
10.66 The owner of a restaurant that serves Continental-style entrées has the business objective of learning more about the patterns of patron demand during the Friday-to-Sunday weekend time period. She decided to study the demand for dessert during this time period. In addition to studying
10.65 A study was conducted on daily time used to watch television(in hours) for the group of males in and not in labor force ages between 25 and 54 years old. Twenty-five males were selected from respective group and the results are stored in the file TV Time . Analyze the data and determine
10.64 The file ElectricConsME contains the electric power consumption data (kWh) of 44 randomly selected four-member households from Saudi Arabia and the United Arab Emirates. Completely analyze the differences between the amounts of the consumed electric power by the households in the two
10.63 Troubleshooting PC problems is a part of everyday life. You may try your hand at homebrew tech support through the web or over-the-phone tech support to provide you the steps to solve your PC issues. A survey which consist the rating of eleven different laptop models on the web tech support
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