Introduction:

One of the most exciting regions of mathematics includes the application of statistics to real-world settings to make informed decisions. In this task you will design, implement and analyze the outcomes of an original investigation comparing two groups in order to answer a problem. You will collect, display and interpret your data. Choose one of the given topics as a base for your original investigation:

• Mathematics education: Design an investigation which compares two pedagogical approaches or one that permits you to compare two subgroups.

• Observational study: Design an investigation which focuses on some kind of observable behavior.
Task:

A) Design an investigation which details the given six components:

Note: If one or more of the given components do not apply to your investigation, describe why each doesn’t apply in a way which fully illustrates 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 employed to implement the investigation. The methodology must comprise the given three components:

• Materials employed during the investigation.
• Method of the data collection.
• Timeline for data collection.

C) Analyze the outcomes from the implemented investigation. Your analysis should comprise the given components:

1) Statistical results presented by using the given formats:

• Table or listing of the data collected by the candidate via 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 which was studied, based on the results of the investigation.

E. If you use sources, include all in-text citations and references in APA format.

Note: Please submit word-processing documents as *.pdf (Portable Document Format) files.

Note: When bulleted points are present in the task prompt, the level of detail or support called for in the rubric refers to such bulleted points.

Note: For definitions of terms generally used in the rubric, see the Rubric Terms web link included in the Evaluation Procedures section.

Note: When employing sources to support ideas and elements in a paper or project, the submission MUST comprise APA formatted in-text citations with a corresponding reference list for any direct quotes or paraphrasing. It is not essential to list sources that were consulted if they have not been quoted or paraphrased in the text of paper or project.

Note: No more than a combined total of 30% of a submission can be directly quoted or closely paraphrased from sources, even if cited properly. For tips on using APA style, please refer to the APA Handout web link comprised in the General Instructions section.