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Introduction to data analysis, linear regression, sampling, experimental design, probability, and inference. Emphasis on applications, statistical reasoning, and data analysis using statistical software. The inference practices will involve confidence intervals and hypothesis tests for a population mean, both known and unknown population standard deviation. Inference for population proportion, the difference between two population means and two population proportions, and paired data. Inference for categorical data to test conditional distributions, independence and goodness-of-fit. Inference for regression.
Learning Objectives
- Introduce correct data collection methods through random sampling, experimental design, and surveys
- Use statistical tools for presentation and descriptions of data
- Understand basic probability rules and sampling distributions as the foundation of inference
- Analyze data through linear regression, confidence intervals, and hypothesis tests
- Evaluate statistical procedures in the context of assumptions, biases, and extrapolation
Topics
- Looking at Data - Distributions
- Looking at Data - Relationships
- Producing Data
- Probability: The Study of Randomness
- Sampling Distributions
- Introduction to Inference
- Inference for Means
- Inference for Proportions
- Inference for Categorical Data
- Inference for Regression
Textbooks
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Moore, D.S., McCabe, G.P., Craig, B.A., Introduction to the Practice of Statistics, W. H. Freeman, 10th Edition, 2021 (Required)
- Walpole, R.E., Myers, R.H., Myers, S.L., Ye, K., Probability and Statistics for Engineers and Scientists, Pearson, 9th Edition Global, 2016 (Complementary)
- Pagano, M., Gauvreau, K., Mattie, H., Principles of Biostatistics, Chapman and Hall, 3rd Edition, 2022 (Complementary)
Key Student Outcomes
| (1) |
An ability
to identify, formulate, and solve complex engineering problems by
applying principles of engineering, science, and mathematics |
✓ |
| (2) |
An
ability to apply the engineering design to produce solutions that meet
specified needs with consideration of public health, safety, and
welfare, as well as global, cultural, social, environmental, and
economic factors |
|
| (3) |
An ability to communicate effectively with a range of audiences |
|
| (4) |
An
ability to recognize ethical and professional responsibilities in
engineering situations and make informed judgments, which must consider
the impact of engineering solutions in global, economic, environmental,
and societal contexts |
|
| (5) |
An
ability to function effectively on a team whose members together
provide leadership, creates a collaborative and inclusive environment,
establish goals, plan tasks, and meet objectives |
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| (6) |
An
ability to develop and conduct appropriate experimentation, analyze and
interpret data, and use engineering judgment to draw conclusions |
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| (7) |
An ability to acquire and apply new knowledge as needed, using appropriate learning strategies
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