Larry Green's Videos for Elementary Statistics and Probability
Descriptive Statistics Probability Discrete Random Variables Continuous Random Variables
The Normal Distribution The Normal Approximation to the Binomial Distribution
The Central Limit Theorem Confidence Intervals Hypothesis Tests for a Single Variable
Hypothesis Tests for a Difference c2, Regression Analysis, Testing 2 Variances, and ANOVA Projects
- Calculate the Mean and Standard Deviation
- How to Construct a Stem and Leaf Diagram
- How to Construct a Frequency Histogram
- How to Construct a Box Plot
- Using the Definition of Probability and the Basic Probability Rules
- Determining if Events are Independent
- Using a Tree Diagram to Find a Probability
- Using a Contingency Table to Find Probabilities
- Finding the Expected Value
- Finding a Binomial Probability (Without the Computer, P(n=k))
- Finding a Binomial Probability (Without the Computer, Involving the Rule of Complements)
- The Uniform Distribution and Finding a Probability
- The Uniform Distribution and Conditional Probability
- The Uniform Distribution and Percentiles
- The Exponential Distribution and Probability
- Finding the probability of an observation being less than a given value
- Finding the probability of an observation being greater than a given value
- Finding the probability of an observation being between two values
- Finding the value that represents the 5th percentile
- Finding the value at which 70% of the data lies above that value
- Finding the Interquartile Range
The Normal Approximation to the Binomial Distribution (With the Continuity Correction)
- Finding the probability that a count is less than a number
- Finding the probability that a count is less than or equal to a number
- Finding the probability that a count is greater than or equal to a number
- Finding the probability that a count is greater than a number
- Finding the probability that a count is between two numbers
- Determining the Sampling Distribution
- Determining the Distribution of a Sum
- Using the Central Limit Theorem to Find a Probability
- Finding the Probability That a Sum is Between Two Numbers
- Finding a Sample Mean Given a Percentile
- Finding a Confidence Interval for a Single Population Proportion
- Finding a Confidence Interval for a Single Population Mean (s Known)
- Finding a Confidence Interval for a Single Population Mean (s Unknown)
- Finding a Confidence Interval for a Single Population Mean (s Unknown, Using a Computer)
- Determining the Sample Size for a Confidence Interval for a Mean
- Determining the Sample Size for a Confidence Interval for a Proportion (With a Preliminary Estimate for p)
- Determining the Sample Size for a Confidence Interval for a Proportion (Without a Preliminary Estimate for p)
Hypothesis Tests for a Single Variable
- Setting Up a Hypothesis Test: H0
and Ha, Type I and Type II errors, a,
and the Rejection Region (Left Tailed Test, Proportion)
- Interpreting a
and P, and Using Them to Make a Conclusion (Right Tailed Test, Mean)
- Interpreting
a and P, and Using Them to Make a Conclusion
(2-Tailed Test, Mean)
- Hypothesis Test for a Single Population Mean (s Known Right Tailed)
- Hypothesis Test for a Single Population Mean (s Unknown Left Tailed)
- Hypothesis Test for a Single Population Proportion (Two Tailed)
- Hypothesis Test for a Single Population Mean (s Known Left Tailed Using a Computer)
Hypothesis Tests for a Difference
- Hypothesis Test for the Difference Between Two Means (Sigma Known)
- Hypothesis Test for the
Difference Between Two Means
- Hypothesis Test for a
Difference Between Proportions
- Hypothesis Test for a Paired
Difference Calculations done by hand
- Hypothesis Test for a Paired Difference Calculations done by computer
c-Squared, Regression Analysis, Testing 2 Variances, and ANOVA
- c-Squared
Goodness of Fit (an example of rejecting the null hypothesis) Calculations
done by hand
- c-Squared
Goodness of Fit (an example of failing to reject the null hypothesis)
Calculations done by computer
- Finding and Expected
Count and a Part of c2
- c-Squared Test for
Independence
- Regression Analysis
- Testing for the
Difference Between Two Variances
- Performing a 1-Way ANOVA Test
Some notes on the data and other issues
Home Pages
- Lake Tahoe Community
College Math Department Home Page
- Elementary Statistics and Probability Lecture Notes
e-mail Questions and Suggestions
This work is licensed under a Creative Commons License.