Project 2 is a group or individual project that uses the Real Estate dataset posted on Canvas Announcements page. Project 2 must complete the following tasks: 1. (10 points) Download "Real-Estate Dataset" from Canvas Announcement page. 2. (10 points) Compute the mean and standard deviation of Price and Days. Assuming that the dataset's Price is normally distributed, compute the probability of homes sold with Price that is less than $400,000. (Hint: use the normal distribution z table) 3. (10 points) Compare the probability of Price computed in #2 with the actual percentage (relative frequency) of homes with Price less than $400,000. Is it the same as, less than, or greater than the probability computed in #2? Explain your answer. 4. The dataset represents the population of home sold last year. The population is assumed to follow a normal distribution (hint: z = 0 is the z score of population mean) A. (5 points) What is the population size? B. (10 points) Create a rule to select 15 homes from the population in a simple random sampling (hint: You can use random-number table or random-number generator available on many websites.) C. (10 points) Create the dataset for the sample homes selected in #4B D. (10 points) Compute the mean of the sample's Price and Days E. (15 points) Compute the probability of a value greater than the sample means (Price and Days) computed in #4D (hint: draw a normal curve of the population and compute the z value of each of the sample mean) 5. The dataset represents the population of home sold last year. The population is assumed to follow a normal distribution. Use the sample's dataset of 15 homes created in #4C to answer the following problems (You must include the formula used and your work in your individual answers): A. (10 points) Develop a 95% confidence interval for the mean Price B. (10 points) Develop a 95% confidence interval for the mean Days 6. The answers of Items 2-5 must be typed into a document, such as MS Word or MS Excel (recommended) and save the document as LastFirstName(s) Project 2, for example TjahjadiRayProject2 or TjahjadiRay-WhoJohnProject2 (for 2-person group) 7. Upload your Project 2 using the Submit link of Project 2, posted on Canvas' Assignments page