Elementary Statistics

Elementary Statistics
Elementary Statistics is an introduction to data analysis course that makes use of graphical and numerical techniques to study patterns and departures from patterns. The student studies randomness with emphasis on understanding variation, collects information in the face of uncertainty, checks distributional assumptions, tests hypotheses, uses probability as a tool for anticipating what the distribution of data may look like under a set of assumptions, and uses appropriate statistical models to draw conclusions from data.

The course introduces the student to applications in engineering, business, economics, medicine, education, the sciences, and other related fields. The use of technology (computers or graphing calculators) will be required in certain applications.

Course covers: Sampling and data. Statistical graphs, quartiles and percentiles, mean, median, mode, variance and standard deviation. Basic probability, independent and dependent events, addition and multiplication rules. Discrete random variables, discrete probability distribution functions, expected value, binomial probability distribution function. Continuous random variables, continuous probability distribution functions, uniform probability distribution, exponential probability distribution. The normal probability distribution function, standard normal probability density function. Central limit theorem for averages and sums. Confidence intervals. Hypothesis testing. The Chi-Square distribution function. Linear regression and correlation.