One of the most exciting areas of mathematics involves the application of statistics to real-world settings to make informed decisions. In this task you will design, implement, and analyze the results of an original investigation comparing two groups in order to answer a question. You will collect, display, and interpret your data. Select one of the following topics as a base for your original investigation:
- Mathematics education: Design an investigation that compares two pedagogical approaches or one that allows you to compare two subgroups.
- Observational study: Design an investigation that focuses on some type of observable behavior.
Task:
A. Design an investigation that details the following six components:
Note: If one or more of the following components do not apply to your investigation, explain why each does not apply in a way that fully demonstrates your understanding of the missing component.
- Statement of purpose
- Identification of a target population
- Description of sampling methodology (random sampling or random assignment)
- Description of sample(s)
- Identify the independent and dependent variables
- Identification of baseline or control group
B. Describe the methodology that will be used to implement the investigation. The methodology should include the following three components:
- Materials used during the investigation
- Method of data collection
- Timeline for data collection
C. Analyze the results from the implemented investigation. Your analysis should include the following components:
1. Statistical results presented using the following formats:
- Table or listing of the data collected by the candidate through random sampling or random assignment of treatments
- Graphical representation of the data collected
2. Interpretation of results
- Interpret data representations created as part of an investigation.
D. Discuss the feasibility of using a computer-based simulation to model the system that was studied, based on the results of the investigation.
E. When you use sources, include all in-text citations and references in APA format.