Knowledge of statistics is important foundational knowledge for analyzing data. Equally important is what you can do with that information. An overarching goal of this course is to consider how statistics informs decision making, or data-based decision making. Throughout this course, you will be asked to make decisions and then to consider the impact of those choices. Whether in stock trading, in car sales, or on the production floor, the decisions you make as a business professional should be directly influenced by the data available to you. Careful analysis is the key to data-based decision making.
Each module task below provides a scenario and a list of questions for you to answer using data-based decision making.
Specifically, the following critical elements must be addressed:
I. Main Elements
II. Integration and Application
III. Analysis
IV. Critical Thinking
You volunteer some of your spare time to your local fire department and have been asked by an assistant chief to analyze data on firefighters who applied for promotion. The assistant chief wants to ensure that gender bias is not a concern in the promotion of firefighters. Shown below is data for 50 firefighters who applied for promotion and the results of a chi-square analysis of the data.
MaleFemalePromoted1322
Not Promoted105
Chi-Square Statistic3.6845
P value0.054919
What factors should the assistant chief consider in determining the presence of gender bias in firefighter promotion?
Is the promotional status of recently promoted firefighters independent of their gender?
What reasons should the assistant chief convey to the fire chief to justify the absence of gender bias in the most recent class of firefighters who were promoted?
How might the presence of gender bias in promotions impact the fire department?
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