# Math 120 Videos of Selected Topics

 Topic Video Notes Basic Probability Video Notes Binomial Distribution Video Notes Binomial and Normal Distributions Video Notes Constructing Confidence Intervals Video Notes Mean, Standard Deviation and Variance Video Notes Median, Quartiles and Outliers Video Notes Normal Distribution Video Notes Performing Hypothesis Test for One Population Proportion Video Notes Sampling Distributions Video Notes The Five-Number Summary and Boxplots Video Notes The Language of Hypothesis Testing Video Notes

# Math 120 Lecture 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 Videos — 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 Videos — 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 Videos — 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 Videos — 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 Videos — 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 Videos — 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 Videos — 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 Videos — 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 Videos — 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 Videos — 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 Videos — 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 Videos — This chapter covers:

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

## Chapter 13 Videos — 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 Videos — 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 Videos — This chapter covers:

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