By the end of this course students will be able to:
- Explain the role of data and statistics in describing values, variability, and making decisions.
- Distinguish between quantitative or categorical, discrete or continuous data, and construct tabular/graphical summaries for numerical data.
- Calculate and interpret measures that describe central tendency and variability.
- Discuss the basic concepts associated with an experiment and use counting techniques to compute the probability of an event.
- Use the definition of mutually exclusive events, conditional probability, dependent and independent events, in a variety of contexts.
- Explore the concept of random variables and use the important discrete probability distributions.
- Describe a continuous random variable and discuss the characteristics of continuous probability distributions.
- Discuss the concept of the sampling distribution and solve the probability and inference problems using the results of the central limit theorem.
- Calculate and interpret confidence intervals for estimating a population proportion, mean, and variance, based on a single sample.
- Formulate and conduct hypothesis tests concerning a population mean, proportion, variance, based on a single sample.
- 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.
