# Syllabus for MATH 2500

## Text

Statistics - Principles & Methods, R. Johnson and G. Bhattachryya, 7th edition

## Mandatory Topics

### 1 — Introduction

Overview Only - 2 days

### 2 - Organization & Description of Data

2.1 - Main Types of Data

2.2 - Tables and Graphs

2.3 - Measures of Center

2.4 - Measures of Variation

4-6 days

### 3 - Descriptive Bivariate Data

3.1 - Summarization

3.2 - A Designed Experiment

3.3 - Scatter Diagram

3.4 - Correlation Coefficient

3.5 - Prediction

4-6 days

### 4 - Probability

4.1 - Prob. of an Event

4.2 - Assigning Probabilities

4.3 - Event Relations

4.4 - Conditional Probablity

4.6 - Random Sampling

8days

### 5 - Distributions

5.1 - Random Variables

5.2 - Distribution of a Discrete R.V.

5.3 - Expectation and Standard Deviation

5.4 - Bernoulli Trials

5.5 - Binomial Distribution

8-10 days

### 6 - Normal Distribution

6.1 - Continuous R.V.

6.2 - Normal Distribution

6.3 - Standard Normal Dist.

6.4 - Probability Calculations

5-6 days

### 7 - Sampling Distributions

7.1 - Sampling Dist. of a Statistic

7.2 - Central Limit Theorem

4-5 days

### 8 - Inferences from Large Samples

8.1 - Estimation and Testing

8.2 - Point Estimation

8.3 - Confidence Interval

8.4 - Hypothesis Testing

10-12 days

## Optional Topics

Instructors may choose to cover some, but certainly not all, of the following sections.

4.5 - Bayes- Theorem - 2 days

5.6 - Poisson Distribution - 1 day

### 9 - Small Sample Inferences

9.1 - Student-s t distribution

9.3 - Tests & Confidence Intervals

5-6 days

6.5 - Normal Approx. to Binomial - 2 days

### 10 - Comparing Two Treatments

10.1 - Two Designs

10.2 - Difference of Means

10.3 - Inference from Small Samples

10.4 - Randomization

10.5 - Matched Pairs Comparisons

10.7 - Comparing Two Proportions

6-8 days