MAT 165 - Probability & Statistics

1. Summarize and interpret data by descriptive graphical and numerical methods.
2. Find probabilities of events using the basic properties of probability theory.
3. Construct and use probability distributions.
4. Model certain types of chance phenomena by discrete and continuous probability distributions.
5. Compute probabilities involving sample means and proportions by applying the Central Limit Theorem to their sampling distributions.
6. Calculate confidence interval estimates of population means and proportions.
7. Perform tests of hypotheses involving population means and proportions.
8. Describe and test the significance of the relationship between two variables using simple linear regression.
9. Use correlation analysis to assess the strength of the linear relationship between two variables
10. Solve statistical problems found in practical application and in their major fields of study.
11. Use appropriate technology for statistical computation, summarization and display as an aid to data analysis and interpretation.

1. Types of data, basic statistical concepts and terminology
2. Descriptive statistics: tabular, graphical, and numerical methods
3. Fundamental concepts and properties of probability
4. Random variables and probability distributions
5. Discrete probability distributions
6. Continuous probability distributions
7. Statistics, sampling, and sampling distributions
8. Statistical inference about means and proportions: confidence interval estimation and hypothesis testing
9. Statistical inference about means and proportions with two populations: confidence interval estimation and hypothesis testing
10. Simple linear regression and correlation

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