Topic |
Video |
Notes |

Basic Probability | Video | Notes |

Binomial and Normal Distributions | Video | Notes |

**Course Videos**

Each of these links send you to a play list of the videos for that chapter. The videos are listed both by section number and topic.

Chapter 1 — This chapter covers:

- Define Statistics and statistical thinking
- Explain the process of statistics
- Distinguish between qualitative and quantitative variables
- Distinguish between discrete and continuous variables
- Determine the level of measurement of a variable
- Distinguish between an observational study and an experiment
- Explain the various types of observational studies
- Obtain a simple random sample
- Obtain a stratified sample
- Obtain a systematic sample
- Obtain a cluster sample
- Explain the sources of bias in sampling
- Describe the characteristics of an experiment

Chapter 2 — This chapter covers:

- Organize qualitative data in tables
- Construct bar graphs
- Construct pie charts
- Organize discrete data in tables
- Construct histograms of discrete data
- Organize continuous data in tables
- Construct histograms of continuous data
- Draw stem-and-leaf plots
- Identify the shape of a distribution
- Construct frequency polygons
- Create cumulative frequency and relative frequency tables
- Construct frequency and relative frequency ogives
- Draw time-series graphs
- Describe what can make a graph misleading or deceptive

Chapter 3 — This chapter covers:

- Determine the arithmetic mean of a variable from raw data
- Determine the median of a variable from raw data
- Explain what it means for a statistic to be resistant
- Determine the mode of a variable from raw data
- Determine the range of a variable from raw data
- Determine the standard deviation of a variable from raw data
- Determine the variance of a variable from raw data
- Use the Empirical Rule to describe data that are bell shaped
- Use Chebyshev’s Inequality to describe any set of data
- Approximate the mean of a variable from grouped data
- Compute the weighted mean
- Approximate the standard deviation of a variable from grouped data
- Determine and interpret z-scores
- Interpret percentiles
- Determine and interpret quartiles
- Determine and interpret the interquartile range
- Check a set of data for outliers
- Compute the five-number summary
- Draw and interpret boxplots

Chapter 4 — This chapter covers:

- Draw and interpret scatter diagrams
- Describe the properties of the linear correlation coefficient
- Compute and interpret the linear correlation coefficient
- Determine whether a linear relation exists between two variables
- Explain the difference between correlation and causation
- Find the lest-squares regression line and use the line to make predictions
- Interpret the slope and the y-intercept of the least-squares regression line
- Compute the sum of squared residuals
- Compute and determine the coefficient of determination
- Perform residual analysis on a regression model
- Identify influential observations

Chapter 5 — This chapter covers:

- Apply the rules of probabilities
- Compute and interpret probabilities using the empirical method
- Compute and interpret probabilities using the classical method
- Recognize and interpret subjective probabilities
- Use the Addition Rule for disjoint events
- Use the General Addition Rule
- Compute the probability of an event using the
- Complement Rule
- Identify independent events
- Use the Multiplication Rule for independent events
- Compute at-least probabilities
- Compute conditional probabilities
- Compute probabilities using the General Multiplication Rule
- Solve counting problems using the Multiplication Rule
- Solve counting problems using permutations
- Solve counting problems using combinations
- Solve counting problems involving permutations with non-distinct items
- Compute probabilities involving permutations and combinations.
- Determine the appropriate probability rule to use
- Determine the appropriate counting technique to use

Chapter 6 — This chapter covers:

- Distinguish between discrete and continuous random variables
- Identify discrete probability distributions
- Construct probability histograms
- Compute and interpret the mean of a discrete random variable
- Interpret the mean of a discrete random variable as an expected value
- Compute the standard deviation of a discrete random variable
- Determine whether a probability experiment is a binomial experiment
- Compute probabilities of binomial experiments
- Compute the mean and standard deviation of a binomial random variable
- Construct binomial probability histograms

Chapter 7 — This chapter covers:

- Use the uniform probability distribution
- Graph a normal curve
- State the properties of the normal curve
- Explain the role of area in the normal density function
- Find and interpret the area under a normal curve
- Find the value of a normal random variable

Chapter 8 — This chapter covers:

- Describe the distribution of the sample mean: normal population
- Describe the distribution of the sample mean: non-normal population
- Describe the sampling distribution of a sample proportion
- Compute probabilities of a sample proportion

Chapter 9 — This chapter covers:

- Obtain a point estimate for the population proportion
- Construct and interpret a confidence interval for the population proportion
- Determine the sample size necessary for estimating a population proportion within a specified margin of error
- Obtain a point estimate for the population mean
- State properties of Student’s t-distribution
- Determine t-values
- Construct and interpret a confidence interval for a population mean
- Find the sample size needed to estimate the population mean within a given margin of error
- Find critical values for the chi-square distribution
- Construct and interpret confidence intervals for the population variance and standard deviation
- Determine the appropriate confidence interval to construct

Chapter 10 — This chapter covers:

- Determine the null and alternative hypotheses
- Explain Type I and Type II errors
- State conclusions to hypothesis tests
- Explain the logic of hypothesis testing
- Test hypotheses about a population proportion
- Test hypotheses about a population proportion using the binomial probability distribution
- Test hypotheses about a mean
- Understand the difference between statistical significance and practical significance
- Test hypotheses about a population standard deviation
- Determine the appropriate hypothesis test to perform

Chapter 11 — This chapter covers:

- Distinguish between independent and dependent sampling
- Test hypotheses regarding two proportions from independent samples
- Construct and interpret confidence intervals for the difference between two population proportions.
- Determine the sample size necessary for estimating the difference between two population Proportions
- Test hypotheses regarding matched-pairs data
- Construct and interpret confidence intervals about the population mean difference of matched-pairs data
- Test hypotheses regarding the difference of two independent means
- Construct and interpret confidence intervals regarding the difference of two independent means
- Find critical values of the F-distribution
- Test hypotheses regarding two population standard deviations
- Determine the appropriate hypothesis test to perform

Chapter 12 — This chapter covers:

- Perform a goodness-of-fit test
- Perform a test for independence
- Perform a test for homogeneity of proportions

Chapter 13 — This chapter covers:

- Verify the requirements to perform a one-way ANOVA
- Test a hypothesis regarding three or more means using one-way ANOVA

Chapter 14 — This chapter covers:

- State the requirements of the least-squares regression model
- Compute the standard error of the estimate
- Verify that the residuals are normally distributed
- Conduct inference on the slope
- Construct a confidence interval about the slope of the least-squares regression model
- Construct confidence intervals for a mean response

Chapter 15 — This chapter covers:

- Distinguish between parametric and non parametric statistical procedures
- Inference about measures of central tendency