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- Español The Ellington Dukes are a minor-league baseball team in Ellington, Georgia. As with most other minor-league teams, the Dukes rely heavily on promotions to bring fans to the ballpark. These promotions are typically aimed at fans of specific ages. The management for the Dukes has planned its current promotional schedule according to the following estimates: 15% of fans attending Dukes games are ages 0 to 12, 10% are ages 13 to 18, 30% are ages 19 to 35, 25% are ages 36 to 55, and 20% are over 55. A statistical consulting firm for the Dukes surveyed a random sample of 150 fans attending Dukes games in order to see if these estimates are accurate. For the sample of 150, the observed frequency of each age category is given in the top row of numbers in the table below. The second row of numbers contains the frequencies expected for a random sample of 150 fans if the Dukes' management's estimates are accurate. The bottom row of numbers contains the following value for each of the age…2A corporation owns several companies. The strategic planner for the corporation believes dollars spent on advertising can to some extent be a predictor of total sales dollars. As an aid in long-term planning, she gathers the following sales and advertising information from several of the companies for 2016 ($ millions). Advertising Sales 12.5 148 3.7 55 21.6 338 60.0 994 37.6 541 6.1 89 16.8 126 41.2 379 Develop the equation of the simple regression line to predict sales from advertising expenditures using these data.Do not round the intermediate values. (Round your answers to 3 decimal places.)
- 2. The average Swedish household spent its disposable income (i.e., budget) on the following categories of goods and services: Category 1. Food and non-alcoholic beverages % 12,0 2. Alcoholic beverages and tobacco 3,5 3. Clothes and shoes 5,1 4. Housing (incl. electricity, gas and heating) 26,1 5. Furniture and other household articles 5,2 6. Health and household care 3,1 7. Transports 13,9 8. Post, tele and other communication 3,1 9. Leisure, entertainment and culture 11,7 10. Hotels, cafés and restaurants 5,9 11. Other 10,6 The average disposable income was Y = 200000kr, in 2007 (we assume). It is obvious that each category in the table contains many different goods so it is difficult to define a price for each category. However, we are often mostly interested in how demand changes as prices and/or disposable income changes. We can therefore define the "base-prices" for each category to be equal to 1 for all, and "normalize" the units of each category such that one unit of one good…2. You manage a company that purchases movie theaters. You have a spending goal of $4, 300 million for the purchase of new theaters to seat a total of 4,980 guests. You are given the following data: ABC theaters seat a total of 330 guests and cost $250 million each, CineMovie theaters seat 270- guests and cost $200 million each, and Movies 'n' Stuff theaters seat 240 guests and cost $250 million each. Your company wants you to buy half as many ABC theaters as the combined total of CineMovie and Movies 'n' Stuff theaters. You are tasked with determining how many of each theater your company should purchase. (a) Define variables and determine the constraints associated with this problem. Use them to set up a system of linear equations that models this scenario. (b) After applying Gauss-Jordan reduction, you arrive at the following augmented matrix: T10 0 6 Io 104 0 018 How many of each theater should your company purchase?Textbook exercise: A city’s status and living conditions may affect how its residents perceive their mayor and city council. Dr. Benevita has used data from Statistics Canada to rank larger metropolitan areas against each other. Focusing on unemployment rates, median household income, and crime rates, he has given Calgary an overall positive ranking (low unemployment, high income, and relatively low crime), and Winnipeg an overall negative one (mid-range unemployment, fairly low income, and very high crime). Dr. Benevita has contacted 40 residents of each city to respond to one simple question: “How competent do you believe your municipal leaders are in governing your city?” Participants rated their municipal government on a scale of -3 (completely incompetent) to +3 (completely competent). A perfectly normal distribution around the central, neutral, point would have a mean of 0 and a standard deviation of 1.66. We will use this as our comparison point to determine whether residents of…
- Corporations and Elections. Based on research by the Associated Press and the National Constitution Center, 85% of Democrats, 81% of Republicans, and 78% of Independents support limiting corporate influence in political elections. Estimates from Gallup show that 32% of U.S. adults are Democrats, 28% are Republicans, and 40% are Independents. What percentage of U.S. adults who support limiting corporate influence in political elections are Republicans?The following table shows a weighted score card your company uses to compare projects against each other. A team of experts reviewed the business cases for three projects and gave them scores on a scale of 1 to 5 in each particular area. Criteria Weight Proj A Proj B Proj C Project A Weighted Score Project B Weighted Score Project C Weighted Score Strategic Alignment 5 5 2 4 ROI 4 3 5 1 Stakeholder Interest 2 2 2 5 Low Risk 1 4 2 1 Legal Compliance 3 3 5 4 What is the total weighted score for each project? (3 points) What is the average weighted project score for each project? (3 points) Which project should you choose and why? (3 points)Case study The board of a large Australian investment bank of 7,200 employees (1,800 females and 5,400 males) has received media criticism over its poor record on employee work-life balance. It is looking to implement a range of workforce strategies and wants to survey its employee base to see how that might best improve. The company is headquartered in Melbourne, with equally-sized offices in Sydney, Brisbane and Perth. Some variables of interest in the proposed survey include: Variable Department ID Age Number of dependants Desire to work-from-home (WFH) preference Description Randomly generated 5-digit number for each of the company's 42 departments, which also identifies the department's location In years Scale from 'Highly undesirable' to 'Highly desirable' a) For each of the variables mentioned in the table above, determine whether they are nominal, ordinal or quantitative. Furthermore, for variables that are quantitative, also determine if the variable is likely to be discrete…
- 2.Summer 2023 Home Announcements Discussions Grades Syllabus Modules FCC Tutorial Services NameCoach Simple Syllabus Background: Morris Saldov conducted a study in Eastern and Central Newfoundland in 1988 to examine public attitudes towards social spending. In particular, the study tried to determine if knowing someone on public assistance (yes, no) affected one's views on social spending (too little, about right, too much). The data from the study is summarized in the table below. Too little About right Too much Total Yes 16 9 Source: Morris Saldov, Public Attitudes to Social Spending in Newfoundland," Canadian Review of Social Policy, 26, November 1990, pages 10-14. No Directions: Conduct a chi-square test for independence to determine if the association between knowing someone on public assistance and views on social spending is statistically significant. Too little 6 27 1. Choose the correct null and alternative hypotheses. ⒸH₂ : There is an association between knowing someone on…Activity 1: Pennsylvania State Residency by Campus Researchers are comparing the proportion of Penn State University Park students who are Pennsylvania residents to the proportion of Penn State World Campus students who are Pennsylvania residents. Data from a random sample are presented in the contingency table below: Pennsylvania State Residency by Campus Researchers are comparing the proportion of Penn State University Park students who are Pennsylvania residents to the proportion of Penn State World Campus students who are Pennsylvania residents. Data from a random sample are presented in the contingency table below: Contingency Table Primary Campus University Park World Campus PA resident? Yes 114 57 No 96 89 Activity 1 A: Construct a 95% confidence interval to estimate the difference between the proportion of all University Park students who are Pennsylvania residents and the proportion of all World Campus students…
