Univariate Data

• Producing and Interpreting Plots
• Measures of Center and Variation
• The Normal Distribution

Bivariate Data

• Scatter Plots and Correlation
• Pearson’s correlation coefficient
• Scatter Plots and Correlation

• Linear Regression
• Least squares regression line

Sampling And Study Of B103 design

• Data Collection and Analysis
• Simple Random Sampling
• Stratified Random Sampling

• Cluster Sampling
• Surveys
• Completely Randomized and Randomized block designs

Probability Models

• Law of Large Numbers
• Basic Probability Rules
• Law of Total Probability
• Bayes' Theorem
• Random variable and Discrete Probability Distribution
• Effect of a linear transformation of a random variable on its mean and standard deviation.
• Binomial Distribution

• Geometric Distribution
• Hypergeometric Distribution
• Percentiles of normal distributions.
• Simulation
• Central Limit Theorem
• Confidence Intervals
• Control Limits

Point And Interval Estimation

• Simulation of confidence interval
• t-distribution

Significance Testing

• Testing of Hypothesis
• p-value
• Type I and Type II errors

• Chi-squared significance tests of homogeneity and independence
• Goodness-of-fit test

Inference For Regression