Introduction to Statistics

At the end of the course, the successful student will be able to:

• Define the terms “population” and “sample” as they apply to Statistics
• Define and differentiate between the nominal, ordinal, interval and ratio levels of measurement
• Explain the proper use of Statistics within real world application and provide examples of its abuse
• Have an understanding of experimental design and the use of random number tables and generators
• Create and interpret frequency tables, histograms, cumulative frequency tables, stem and leaf displays and scatter plots
• Calculate and interpret measures of central tendency and variation
• Calculate and interpret standard scores
• Use the classical and relative frequency approaches to probability and counting techniques to solve problems
• Know and apply the addition and multiplication rules for probability and the concept of conditional probability
• Be able to differentiate between discrete and continuous random variables
• Determine whether the conditions for a Binomial experiment apply and compute the Binomial probabilities
• Compute the mean, variance and standard deviation for the Binomial distribution
• Compute the mean and variance of a linear combination of independent random variables (optional)
• Determine probabilities of standard and non-standard normal random variables
• Use the Normal distribution to approximate Binomial probabilities
• Apply the Student t distribution
• Apply the Central Limit Theorem to estimate probabilities associated with sample spaces when the population is sufficiently large     
• Perform hypothesis tests on population parameters or the difference between population parameters.
• Create confidence intervals for population parameters or their difference using large and small samples.
• Create Contingency Tables and perform goodness-of-fit testing in multinomial experiments using the Chi-square test. (optional)
• Apply Chebychev’s theorem (optional)
• Apply the Poisson and other probability distributions (optional)