Assessment 1 Use the Florida Pool Home Data file linked in the Resources under the Required Resources heading to complete the calculations for the following scenario. You are also encouraged to use one of the statistical applications such as SAS Enterprise Guide or the Microsoft Excel Analysis ToolPak suggested in this course. Refer to the instructions in the Resources to activate or download the software. Practical Application Scenario Suppose you are a real estate agent living and working in southern Florida. The senior real estate partner of your firm emails you the Florida Pool Home Data file and asks you to find ways to use data to describe the most important aspects of home sales. The Florida Pool Home Data file contains the data for 80 properties including each home’s price size number of bathrooms and niceness rating and whether the home has a pool. Directions Use the scenario above and the Florida Pool Home Data file to complete the following: Create a table in which you calculate the mean median range and standard deviation of home price and size. Then calculate the mode for the number of bathrooms. Label this table as “Mean Median Range Standard Deviation and Mode Results.” Produce a histogram that shows the number of houses by price range in increments of $50 000 (for example: $0–$50 000 $50 001–$100 000 and so on). Label this histogram as “Home Price Range Histogram.” Produce a scatter plot showing the relationship between price and home size. Under your scatter plot indicate whether the relationship is positive or negative as well as whether the results are what you expected. Label this scatter plot as “Price and Size Scatter Plot.” Write a report for the senior real estate partner that details your findings and recommendations about the most important aspects of home sales. Additional Requirements Compile all of your answers and your report in a single Microsoft Word file: Paste in the table and graphics you created to demonstrate your work. Clearly title your table and graphics including each row and column. (For example for the table in question 1 you might use the following labeling: Row 1 Column B contains the “Mean of Home Selling Prices”; Row 1 Column C contains the “Mean of Home Size in Square Feet”; and so on.) Highlight the results of your data calculations within each table or graphic. Assessment 2 Use the following files linked in the Resources under the Required Resources heading to complete both of the scenarios for this assessment: Confidence Interval Calculator. Area Gas Prices – Random Sample. Sample Size Estimator. Practical Application Scenario 1 To complete this scenario use the Confidence Interval Calculator and the Area Gas Prices – Random Sample files. The Minneapolis Star Tribune newspaper has decided to write an article about gasoline prices in the Twin Cities area (Minneapolis and Saint Paul Minnesota). The Star Tribune has designed a survey and taken a simple random sample of regular unleaded gas prices at 70 area stations. The results are in the Area Gas Prices – Random Sample file. The Star Tribune’s policy is that no data will be reported unless it is 95 percent confident that the numbers are correct. As the new manager of the data verification unit at the Star Tribune you need to develop a 95 percent confidence interval for the average price of regular unleaded gasoline in the area. Complete a confidence interval for the data provided using tables to demonstrate your method and findings. Write a 3–5 sentence summary that communicates your results to the Star Tribune’s business manager. Practical Application Scenario 2 To complete this scenario use the Sample Size Estimator file. The third shift at Microsoft Windows’ security unit in Redmond Washington is considering replacing its coffee brewing units with new German-made brewers. As the newest member of this elite Microsoft team you have been assigned to investigate this proposal. Develop a 99 percent confidence interval for the average yield (cups per pound) for the new German coffee brewer. The margin of error should be no bigger than .3 (three-tenths of a cup). Based on experience with the current coffee makers your best guess for the population standard deviation sigma is 1.2 cups. How large a sample do you need? Calculate the estimated sample size needed for the above scenario using tables to demonstrate your method and findings. Write a 3–5 sentence summary that communicates your results to the business manager. Additional Requirements Compile your work for both scenarios in one Microsoft Word file: Paste in the tables you used. Clearly title your tables including each row and column. Highlight the results of your data calculations within each table. Summarize your findings for each scenario in a 3–5 sentence paragraph below each table. Assessment 3 Use the Hypothesis Tester – Single Sample file (linked in the Resources under the Required Resources heading) and data analysis software to complete the calculations for this scenario. You may also refer to the Hypothesis Tester – An Introduction media piece (linked in the Resources under Suggested Resources) to review the process for computing this equation. Practical Application Scenario In 2010 Playbill Magazine a regionally based magazine consulted Boos Allen to determine the mean annual household income of its readers. Using a list of customers provided by Playbill Boos Allen randomly sampled 300 Playbill customers. From that sample Boos Allen is confident that the average Playbill reader’s household income is $119 155 with a population sample household income standard deviation of $30 000. Recently two Playbill executives suggested that the mean average household income for Playbill readers has increased and the magazine price should be raised. As new marketing manager for Playbill you convince the chief operating officer to complete a second survey with Boos Allen to confirm that assertion. Yesterday the new Boos Allen report appeared on your desk. From a new sample of Playbill customers taken from a list of recent customers you e-mailed to Boos Allen the 2012 Playbill customer profile shows a mean annual household income of $124 450 with a population standard deviation of household income unchanged at $30 000. You realize that you have enough data to perform a one-sample hypothesis test. In order to choose the correct statistical tool to complete this assessment consider the following questions: What do you know about the population being studied? (For example do you know the standard deviation of the overall population?) What do you know about the population sample you chose? (For example which sample statistical parameters do you have such as mean standard deviation variance and so on?) Directions Solve the following equations based on the data from the Hypothesis Tester – Single Sample file. Demonstrate your method and display your results in table format using Excel or another appropriate computer application. Identify the null hypothesis via both a written explanation and a math equation. Determine the alternative hypothesis via both a written explanation and a math equation. Solve the equation to determine whether to accept or reject the null hypothesis. Determine whether the p-value indicates acceptance or rejection of the null. Use alpha = .05. Next address the following in a report to the executives: Write a three-sentence paragraph that details your recommendations for a course of action based on your results. Report the rejection or acceptance of the null in terms of the scenario results. Explain why you can be statistically confident that the mean household Playbill reader’s income has increased decreased or remained the same. State whether you would propose that the cost of the magazine be raised. Describe what would happen if alpha was .01. Additional Requirements Compile your work and report in a 1–2 page Microsoft Word file: Paste in the tables you used to make your calculations. Clearly title your tables including each row and column. Highlight the results of your data calculations within each table. Assessment 4 Use the Mall of Elbonia Interview Results file linked in the Resources under the Required Resources heading and data analysis software to complete the scenario for this assessment. You may also use the Hypothesis Tester – Single Sample file to test your hypothesis; refer to the Hypothesis Tester – An Introduction media piece (linked in the Resources) to review the process for computing this equation. Practical Application Scenario In this scenario you have just been hired away from your Macy’s linens department buyer position by the Mall of Elbonia (MoE) as the new food court manager. Why? Rumor had it you have just earned your MBA. One week ago the MoE conducted convenience interviews with customers in the mall’s food court. One hundred interviews were gathered. The results are summarized in the Mall of Elbonia Interview Results file. In this file you will find the customers listed in rows with columns containing data on: The customer’s gender. (If you need this data for your computations in this assessment use the coding convention: 0 for female 1 for male.) How much time the customer spent in the mall. How much money he or she spent on food. The customer’s rating of the mall’s friendliness and attractiveness. After you have applied the descriptive data measures you find the mean to be particularly telling. You believe that you can happily tell the food court owners that the average amount mall customers spend on food during a visit has increased. You realize this is a one-sample test of hypothesis situation. A 2011 study previously found that customers spent an average of $18.75 per visit. Directions Use the data in the Mall of Elbonia Interview Results file and the process outlined below to confirm that the average amount mall customers spend on food during a visit to your mall has increased. Use an alpha of .05. Determine the null hypothesis via the appropriate math equation and write a brief explanation. Determine the alternative hypothesis via the appropriate math equation and write a brief explanation. Solve the equation to determine whether to accept or reject the null hypothesis. Determine whether the p-value indicates acceptance or rejection of the null. Use alpha = .05. Next address the following: Report the rejection or acceptance of the null in terms of the scenario results. Write a three-sentence paragraph that details: Why you can be statistically confident that the average amount a food court’s customer spends has increased decreased or remained the same. What would happen if alpha was .01 or .10. Recommend actions to the food court owners based on your findings. Additional Requirements Compile your work and report in a 1–2 page Microsoft Word file: Paste in the tables you used to make your calculations. Clearly title your tables including each row and column. Highlight the results of your data calculations within each table. Assessment 5 You are the manager of the Blander Mountain store in Frogtown Illinois. Recently a customer mentioned that he believed your prices for ammunition were lower than the prices of Blander’s primary competitor in the hunting equipment market. You would like to be able to include that statement in a forthcoming print advertisement so you need statistical evidence to support this assertion. Identify the null and alternative hypotheses needed to test the contention. Analyze the most appropriate sample selection technique to gather data for testing the hypothesis. Identify what statistical test you should use to test this hypothesis with the data you will collect. Compile your work in a 1–2 page Microsoft Word file pasting in any graphics or tables you used in your analysis. Assessment 6 Use the Golf Ball Distance Test file linked in the Resources under the Required Resources heading to complete the calculations for the scenario for this assessment. Practical Application Scenario Your love of golf has brought you back to the range as the new product manager for UniDun’s “Straight Flight” (SF) line of golf balls. The company’s research and development group has been experimenting with dimple patterns that promote straight flight and have achieved some degree of success. You however are worried about the effect that the new pattern might have on driving distance. The Golf Ball Distance Test file contains test results that compare the driving distances for the two different kinds of balls: 40 balls of the new SF type and 40 of the old UniDun type. Your job is to determine if the old UniDun balls can be driven further than the new SF balls. To resolve this question you need to appropriately address the following: Identify the null and alternative hypotheses you should form for this test. State each both as a written explanation and as a math equation. Identify the appropriate statistical test to accept or reject the null hypothesis. Calculate the p-value. Summarize your findings and recommendations about the new golf ball product to the vice president of marketing. Your report should not be a statistical analysis of the testing but a summary of the testing results. Assume that your audience is unfamiliar with statistical analysis. Additional Requirements Compile your work and report in a 1–2 page Microsoft Word file: Paste in the tables you used to make your calculations. Clearly title your tables including each row and column. Highlight the results of your data calculations within each table. Assessment 7 Use the Mall Time Interview Results file linked in the Resources under the Required Resources heading to complete the calculations for this scenario. Practical Application Scenario As the food court manager at the Mall of Elbonia you want to determine how much time customers spend at the mall at different times of the week (for example: midweek day; midweek evening; weekend day; weekend evening). Last week the mall survey staff administered a random survey to mall visitors by selecting customers as they were leaving the mall. One of the questions asked was how much time the customer had spent in the mall on that day. The findings from this study are provided in the Mall Time Interview Results file. In this file Columns A through D show the time spent by the customers interviewed according to the weekday and time of day when the interviews occurred. Is there any statistically significant difference (at alpha = .05) in the average amount of time people spent in the mall based on the weekday and time? To determine the answer to that question you need to complete the following: Identify the null and alternative hypotheses you should form for this test. State each as a written explanation and as a math equation. Identify the appropriate statistical test you should use to accept or reject the null hypothesis. Calculate the appropriate ANOVA values to accept or reject your null and alternative hypotheses. What should you tell the operators of the Mall of Elbonia’s food court stores (in terms of the mall’s high-traffic times and customer tendencies)? Summarize your statistical analysis in a report for management. Additional Requirements Compile your work and report in a 1–2 page Microsoft Word file: Paste in the tables you used to make your calculations. Clearly title your tables including each row and column. Highlight the results of your data calculations within each table. Assessment 8 Preparation Before beginning this assessment use the Capella library guide and the resources for this course to locate peer-reviewed articles that describe the value of qualitative research methods or the ethics involved in conducting qualitative surveys. You will use this information to address the scenario for this assessment Practical Application Scenario Suppose you are a manager at a multimillion-dollar real estate company. You have been entrusted to research the changing relationship between real estate agents and their clients and to make a recommendation to your organization’s leaders for addressing the growing demands on real estate agents. Develop a research question hierarchy for this endeavor. Consider different types of qualitative data collection and analysis methods and the ways in which they can support business decision making and strategies. How would you gather and assess qualitative data to support business decision making? Analyze the ethical issues if any that should concern you in undertaking this initiative. Compile your work into a 1–2 page Microsoft Word file pasting in any tables or charts you may have used to support your statements. Assessment 9 To complete this assessment use data analysis software and the Campus Crime Data Excel file linked in the Resources under the Required Resources heading. The Excel file contains two data sheets: The Campus Crime Data for Minnesota (2009–2011) page provides actual data generated by the U.S. Department of Education’s Campus Safety and Security Data Analysis Cutting Tool. The Campus Crime Data Codebook explains the labels used in the Campus Crime Data sheet. Practical Application Scenario As a result of recent campus safety concerns at Capella University you have been engaged by campus security team leaders to gather and analyze data about on-campus crime rates in schools in the state of Minnesota. Crime data from 181 Minnesota campuses has been compiled in the Campus Crime Data file. Write a management report for campus security team leaders analyzing and evaluating campus crime data for Minnesota. Include your findings and recommendations for your clients. In your report be sure to examine the following: Identify what crimes were most commonly committed on Minnesota campuses between 2009 and 2011. Based on the data would you say the crime rates decreased or increased from 2009 to 2011? The campus security leaders believe that the total crime rate in public institutions is more than that in private institutions. They have asked you to test that hypothesis. Describe your results. Your clients would also like you to develop a 95 percent confidence interval for the difference in total campus crime rates between public and private institutions in Minnesota. Report your results. Analyze what ethical issues if any should concern you in conducting your research. Additional Requirements Compile your work and report in a 2–4 page Word document. Include whatever relevant tables and graphics you need to support your findings. Place your tables and graphics within the text and be sure to clearly title them. Your tables and graphics must be legible and suitable for inclusion in a management report. Reference U.S. Department of Education. (n.d.). The campus safety and security data analysis cutting tool [Data files]. Retrieved from http://ope.ed.gov/security/