Sampling and Statistical Inference
Project description
Gulf Real Estate Properties, Inc. is a real estate firm located in southwest Florida. The company, which advertises itself as an expert in the real estate market, monitors condominium sales by collecting data on location, list price, sale price, and the number of days it takes to sell each unit. Each condominium is classified as Gulf View if it is located directly on the Gulf of Mexico, or No Gulf View if it is located on the bay or a golf course (near but not on the Gulf). Sample data from the Multiple Listing Service in Naples, Florida, provided sales data for 40 Gulf View condominiums and 18 No Gulf View condominiums. The complete data set is in the file named Real Estate.
Managerial Report
Prepare a report (see below) that summarizes your assessment of the nature of the housing market in southwest Florida. Be sure to include the following seven (7) items in your report.
1.Descriptive statistics (mean, median, range, and standard deviation) to summarize each of the three variables for the 40 Gulf View condominiums. Are there any outliers in the data set for any of the three variables? If there are any outliers in any category, please list them and state for which category they are an outlier. Describe which method you used to make your determination.
2.Descriptive statistics (mean, median, range, and standard deviation) to summarize each of the three variables for the 18 No Gulf View condominiums. Are there any outliers in the data set for any of the three variables? If there are any outliers in any category, please list them and state for which category they are an outlier. Describe which method you used to make your determination.
3.Compare your summary results from #1 and #2. Discuss any specific statistical results that would help a real estate agent understand the condominium market.
4.Develop a 95% confidence interval estimate of the population mean sales price and population mean number of days to sell for Gulf View condominiums. Interpret your results.
5.Develop a 95% confidence interval estimate of the population mean sales price and population mean number of days to sell for No Gulf View condominiums. Interpret your results.
6.Assume the branch manager requested estimates of the mean selling price of Gulf View condominiums with a margin of error of $40,000 and the mean selling price of No Gulf View condominiums with a margin of error of $15,000. Using 95% confidence, how large should the sample sizes be for each?
7.Gulf Real Estate Properties just signed contracts for two new listings: a Gulf View condominium with a list price of $589,000 and a No Gulf View condominium with a list price of $285,000. What is your estimate of the final selling price (based on the percent difference for the sale and list price) and number of days required to sell each of these units?
Your report must contain the following:
1.A title page in APA style.
2.An introduction that summarizes the problem.
3.The body of the paper should answer the questions posed in the problem by communicating the results of your analysis. Include results of calculations, as well as charts and graphs, where appropriate.
4.A conclusion paragraph that addresses your findings and what you have determined from the data and your analysis.
5.Submit your Excel file in addition to your report.
———-
Added on 22.05.2015 17:01
Text: Anderson, D.R., Sweeney, D.J., Williams, T.A., Camm, J.D., & Cochrane, J.J. (2015). Essentials of statistics for
business and economics (7th ed.). Mason, OH: South-Western Cengage Learning
Gulf View Condominiums No Gulf View Condominiums
List Price Sale Price Days to Sell List Price Sale Price Days to Sell
926 895.4 20 130 122.7 345
625 601.9 216 162 160.2 169
600 559.8 196 197 185.2 189
322 314 72 242 237.2 145
743 729.6 251 195 183.9 91
610 575.8 158 182 180 66
640 593.3 79 285 265.6 81
417 402.4 259 262 253.9 65
281 279.9 272 184 171.5 100
449 439.1 96 279 278.7 326
331 307.5 243 201 192.4 183
603 577.7 249 216 207.1 102
187 173.7 239 212 206.5 345
473 464.5 55 237 234.6 290
666 625.4 69 257 242.6 350
407 402.1 198 245 244.3 386
480 445.4 134 178 173.7 188
271 270.2 40 162 159.4 71
897 884.4 205
828 793.2 23
584 549.5 263
996 928.3 229
373 365.2 62
974 948.7 74
581 554.3 101
295 291.2 96
733 732.3 98
161 150.9 189
738 712.9 203
529 499.9 140
827 812.1 19
229 215.9 175
385 379.2 209
452 438 247
848 807.3 109
445 419.2 27
224 212.4 113
571 529.3 275
326 302.2 218
456 447.8 25