Course Description
This course studies the fundamentals of Statistics, including Probability, the Laws of Chance, Statistical Measures (mean, mode, median, scatter, standard deviation, skewness) and Descriptive Statistics (with attention to frequency distributions, and the use and interpretation of tables, graphs and charts), Statistical Distributions (binomial, Poisson, normal), Statistical Analysis (with attention to correlation analysis and statistical significance), Statistical Inference (with attention to sampling techniques, confidence levels and sample size), and Statistical Forecasting (projection techniques and time series analysis). Students will be introduced to the differing uses of statistics: how natural and social scientists, businesses and governments use statistics in their own ways, for their own purposes.
Course Learning Outcomes
Upon successful completion of the course, the students will be able to:
- Summarize and interpret data by descriptive graphical and numerical methods.
- Find probabilities of events using the basic properties of probability theory.
- Construct and use probability distributions.
- Model certain types of chance phenomena by discrete and continuous probability distributions.
- Compute probabilities involving sample means and proportions by applying the Central Limit Theorem to their sampling distributions.
- Calculate confidence interval estimates of population means and proportions.
- Perform tests of hypotheses involving population means and proportions.
- Describe and test the significance of the relationship between two variables using simple linear regression.
- Use correlation analysis to assess the strength of the linear relationship between two variables.
- Solve statistical problems found in practical application and in their major fields of study.
- Use appropriate technology for statistical computation, summarization, and display as an aid to data analysis and interpretation.