Provide a case scenario of a problem (actual or hypothetical) that involves a continuous random variable X
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Question:
Provide a case scenario of a problem (actual or hypothetical) that involves a continuous random variable X that follows a normal probability distribution. Ideally, it will come from your work or field of study, but it is not absolutely necessary. You will need to use the normal probability rules to solve that problem.
Important Note: Email a draft of your problem scenario early in the week to your instructor for him/her to review it and provide feedback early in the process.
Complete the following:
- Describe the setting in your problem scenario and a short background information.
- Define exactly what you want to solve in this scenario and your solution plan.
- Describe the type of data you collected for solving this problem.
- Describe possible variable(s). (Are they continuous?)
- Describe the statistical method(s) that you used to analyze the data. (Such as numerical summaries, graphs, etc.) Provide evidence that this data follows a normal distribution.
If you use a software to get these analyses done, cut the related output and paste it on to your assignment document.
- Provide a detailed step by step explanations of the solution to the chosen problem. In your solution, include the following:
- Probability that the continuous random variable is greater than a specific value pertaining your problem.
- Probability that the continuous random variable is less than a specific value pertaining your problem.
- Probability that the continuous random variable is between two values pertaining your problem.
- Percentile(s) of some data values.
- Graphs to visualize your solution.
- Explain your thinking behind your choices of using formulas, tables, charts, etc.
- Discuss the results.
- Utilize proper/correct APA citations in the body of the paper and in all your references, including figures/tables in your report.
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