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Math 1530 - Probability and Statistics

Resource List by Course Content

The resources listed on this page are meant only as general instruction materials. Students are expected to contact their instructors regarding the specific requirements for their classes.

*All video resources below link to Khan Academy unless otherwise noted

Chapter 1 – Data Collection

1.1 Introduction to the Practice of Statistics

1.2 Observational Studies versus Designed Experiments (Optional)

1.3 Simple Random Sampling

1.4 Other Effective Sampling Methods

Chapter 2 – Organizing and Summarizing Data

2.2 Organizing Quantitative Data: The Popular Displays

Chapter 3 – Numerically Summarizing Data

3.1 Measures of Central Tendency

3.2 Measures of Dispersion

3.4 Measures of Position and Outliers

3.5 The Five-Number Summary and Boxplots

Chapter 4 – Describing the Relation between Two Variables

4.1 Scatter Diagrams and Correlation

4.2 Least Squares Regression

4.3 The Coefficient of Determination (Optional)

Chapter 6 - Discrete Probability Distributions

6.1 Discrete Random Variables

6.2 The Binomial Probability Distributions

Chapter 7 – The Normal Probability Distribution

7.1 Properties of the Normal Distribution

7.2 The Standard Normal Distribution

7.3 Applications of the Normal Distribution

7.4 Assessing Normality (Optional)

7.5 The Normal Approximation to the Binomial Probability Distribution

  • *Only: Determine whether the normal distribution can be used to approximate the binomial distribution

Chapter 8 – Sampling Distributions

8.1 Distribution of the Sample Mean

8.2 Distribution of the Sample Proportion

  • *Only: Introduction of sample proportion necessary for confidence intervals

Chapter 9 – Estimating the Value of a Parameter Using Confidence Intervals

9.1 The Logic in Constructing Confidence Intervals for a Population Mean when the Population Standard Deviation is Known

9.2 Confidence Intervals for a Population Mean When the Population Standard Deviation is Unknown

9.3 Estimating a Population Proportion

Chapter 10 – Hypothesis Tests Regarding a Parameter

10.1 The Language of Hypothesis Testing

10.2 Hypothesis Tests for a Population Mean-Population Standard Deviation Known

  • * Only: Introduction of logic for hypothesis testing process for both classical and p-value methods (as needed for section 10.3)

10.3 Hypothesis Tests for a Population Mean-Population Standard Deviation