Math Statistics online
Statistics Freshman class
Final exam (phone number available upon purchase)
Introduction; Study design
Types of data, sampling, simple random samples, surveys and observational studies
• Descriptive methods for numerical data
Mean, median, standard deviation, variance, range, inter-quartile range, resistant measures
• Graphical methods for describing numerical data
Histograms, stem-and-leaf plots, shapes of data sets (skewness, symmetry)
• Probability
Definition, sample space, equally likely outcomes, basic properties, conditional probability, independence
• Random variables and probability distributions
Probability mass functions, expected value, binomial distribution
• Normal distribution
Standard normal curve, areas under curve, standardization, percentages and percentiles, probabilities
• Sampling variability and sampling distributions
Sampling distribution of mean, Central Limit Theorem
• Single-sample estimation
Point estimation and confidence intervals for population mean
• Single-sample hypothesis testing
Test procedures, types of errors, large sample test for population mean, P-values
• Two-sample hypothesis testing
• Other topics as time permits (chi-square, ANOVA)
Sent by Maria on 4/27/24
