# MATH1131-Learning Outcomes

By the end of this course students will be able to:

1. Explain the role of data and statistics in describing values, variability, and making decisions.
2. Distinguish between quantitative or categorical, discrete or continuous data, and construct tabular/graphical summaries for numerical data.
3. Calculate and interpret measures that describe central tendency and variability.
4. Discuss the basic concepts associated with an experiment and use counting techniques to compute the probability of an event.
5. Use the definition of mutually exclusive events, conditional probability, dependent and independent events, in a variety of contexts.
6. Explore the concept of random variables and use the important discrete probability distributions.
7. Describe a continuous random variable and discuss the characteristics of continuous probability distributions.
8. Discuss the concept of the sampling distribution and solve the probability and inference problems using the results of the central limit theorem.
9. Calculate and interpret confidence intervals for estimating a population proportion, mean, and variance, based on a single sample.
10. Formulate and conduct hypothesis tests concerning a population mean, proportion, variance, based on a single sample.
11. Adapt and extend single-sample confidence interval and hypothesis test and use the procedure for comparing two population means, proportions, and variances based on two samples or treatments.