Elementary Statistics

Part 1 The nature of probability and statistics: descriptive and inferential statistics; variables and types of data; data collection and sampling techniques; computers and calculators; summary. Part 2 Frequency distributions and graphs: organizing data; histograms, frequency polygons and ogives; other types of graphs; summary. Part 3 Data descriptions: measures of central tendency; measures of variation; measures of position; exploratory data analysis; summary. Part 4 Counting techniques: tree diagrams and the multiplication rule for counting; premutations and combinations; summary. Part 5 Probability: sample spaces and probability; the addition rule for probability; the multiplication rules and conditional probability; summary. Part 6 Probability distributions: probability distributions; mean, variance and expectation; the binomial distribution; summary. Part 7 The normal distribution: properties of the normal distribution; the standard normal distribution; applications of the normal distribution; the central limit theorem; the normal approximation to the binomial distribution; summary. Part 8 Condfidence intervals and sample size: confidence intervals for the mean (standard derivation known or n>30) and sample size; confidence intervals for the mean (standard deviation unknown or n<30); confidence intervals and sample size for proportions; confidence intervals for variances and standard deviations; summary. Part 9 Hypothesis testing: steps in hypothesis testing; large sample mean test; small sample mean test; proportion test; variance or standard deviation test; confidence intervals and hypothesis testing; summary. Part 10 Testing the difference among means, variances and proportions: testing the difference between two means - large samples; testing the difference between two variances; testing the difference between two means - small independent samples; testing the difference between two means - small dependent samples; testing the difference between proportions; summary. Part 11 Correlation and regression: scatter plots; correlation; regression; coefficient of determination and standard error of estimate; summary. Part 12 Chi-square and analysis of variance: test for goodness of fit; tests using contigency tables; one-way analysis of variance (ANOVA); summary; appendices.