Probablity :  Probability models,components of probability models, basic rules of probability, conditional probability, probabilities of events, Baye's formula

Random variables:  Discrete, continuous, density functions, mean and variance of random variables, definitions, properties.

Graphic displays:  Stem plots, histograms, box plots, scatter plots

Measures of central tendency:  Mean, median, mode, variance, standard deviation, Quartiles, Quartile deviation, skewness, kurtosis.

Binomial distributions:  Counts, proportions, normal approximation

Categorical data::  Two way tables, bar graphs, segmented bar graphs

Normal distributions:  Z-score central limit theorem, mean, variance, standard deviation, accessing normality, normal probability plots.

Sample means :  mean, variance, distribution and sample size computations for mean, standard deviation, proportion.

confidence intervals:  Interference about population mean, z and t critical values

Tests of significance:  Null and alternative hypothesis for population mean, one-sided and two-sided z and t tests, levels of significance, matched pairs analysis, Independent sample test, P-values.

Comparison of two means:  Confidence intervals and significance tests, z and t statistics,pooled t test.

Comparison of proportions:  Confidence intervals and significance tests for proportions, comparison of proportion difference and mean difference

Chi-square goodness of fit test:  Chi-square test statistics, tests for discrete and continuous distributions, two-way tables, categorical data analysis for two variables, tests of association.

Linear regression and correlation:  least squares regression, residuals, outliers and influential observations, extrapolation, inference in linear regression, confidence intervals for intercept and slope, significance tests, mean response and prediction intervals. Multiple linear regression and its confidence intervals, tests of significance and squared multiple correlation. ANOVA for regression, analysis of variance calculations for simple and multiple regression, F statistics, nonparametric statistics.

Correlation:  Correlation coefficient, coefficient of determination.

Analysis of variance:  Single factor anova(ANOVA), Two-way ANOVA, MANOVA one way analysis of variance, multi-factor analysis of variance, pooling effects, fixed and random factors, Randomized block design, Repeated measures analysis of variance, Pre-test and posthoc test experiments, Tokey's test, Factorial between -subjects ANOVA, within subjects and Repeated measures of ANOVA

Experiments and Sampling:  Experimental design, Experimentation, control, randomization, replication, simple sampling, stratified sampling, multistage random sampling, sampling in statistical interference.