Defining the Problem For part 1 of the assignment, you must choose a problem that interests you and requires the organization and analysis of data that you can either collect yourself or find in an online database. The problem you choose will undertake rigorous statistical analysis pertaining to what you have learned throughout the entire course. [2 marks K/U] Example: The problem chosen is: young students are getting less sleep each successive year, which is impacting student performance in school. PART 2: Defining your task After defining the problem, you need to clearly define what your task will be through the formulation of a hypothesis. [2 marks APP] Example: If the amount of sleep that a student gets increases, then their overall average will increase. PART 3: Action Plan After formulating a hypothesis, you will then develop and implement an action plan to test your hypothesis. For the purposes of this assignment, you must collect between 20-30 data points of the appropriate independent and dependent variables (depending on what problem you chose in part 1). The steps in your action plan are the following: [5 marks APP, 5 marks T/I] a. State and consider your hypothesis b. Determine what data needs to be collected c. Decide how you will collect this data to obtain your 20-30 data points (i.e. questionnaire over social media, interviews, using online databases etc). **Keep in mind that your questionnaire/interviews can include other questions apart from questions only pertaining to your dependent and independent variables-this can help you recognize other trends and further research/investigation can be discussed in your conclusion.** d. Collect your data and organize it in a table! Example: The data that needs to be collected is the amount of sleep a student gets per week and their corresponding average grade in school. The data will be collected through a questionnaire. Zoom Add Page PART 4: Evaluation Now that you have collected your data, we must evaluate it by doing the following: Identify the independent and dependent variables and state how you know [4 marks K/ U] Identify the sample and the population [2 marks K/U] MDM4U . Find the mean, median and mode of the sample [3 marks K/U, 3 marks APP] . . Insert Table Chart Text Shape Media Comment . Create a boxplot of the data by hand or using technology and show your mathematical work where applicable [1 mark K/U, 5 marks APP, 5 marks T/I, 2 marks COMM] Graph the data using a scatterplot, either by hand or using technology. Include a line of best fit [1 mark K/U, 3 marks APP, 3 marks T/I, 2 marks COMM] Describe the linear correlation. Is there any correlation present? Is it positive or negative? Weak or strong? [2 marks K/U, 2 marks APP] Explain the possible sources of bias that exist (from the lesson) and explain why these sources of bias are found or are not found in your data. [2 marks K/U, 2 marks T/I] Briefly describe the variability in your data, and if your experiment is reliable and/or valid. Explain why or why not and define all of these terms. [3 marks K/U, 3 marks T/1, 2 marks COMM] Find the standard deviation and variance of the sample [2 marks K/U, 2 marks APP] Find the linear regression equation to model your data and show your mathematical work [4 marks K/U]