Larry Green's Videos for Elementary Statistics and Probability
With the TI 84+ Calculator
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 Confidence Interval for a Difference
c2, Regression Analysis, Testing 2 Variances, and ANOVA Projects
Statistics Using Formulas and Tables
- How to Construct a Stem and Leaf Diagram
- How to Construct a Frequency Histogram
- How to Construct a Box Plot
- How to Get Through the Box Plot App
- Exploring Statistics with the TI 84+ Calculator
- The Mean, Standard Deviation, and the Empirical Rule Using the TI 84+ Calculator
- Finding Statistics Given a Frequency Table Using the TI 84+ Calculator
- Interpreting Chebyshev's Theorem Using the TI 84+ Calculator
- Using the Definition of Probability and the Basic Probability Rules
- Using Probability Rules with a Word Problem
- Determining if Events are Independent
- Using a Tree Diagram to Find a Probability
- Using a Contingency Table to Find Probabilities
- Combinations and the Lottery with the TI 84+ Calculator
- Generating and Analyzing Random Numbers Using the TI 84+ Calculator
- Finding the Expected Value Using the TI 84+ Calculator
- Finding a Binomial Probability ( P(x=k)) with the TI84+ Calculator
- Finding a Binomial Probability ( P(x<k)) with the TI84+ Calculator
- Finding a Binomial Probability ( P(x>=k)) with the TI84+ Calculator
- Finding Binomial Probabilities Using the TI 84+ Calculator
- The Uniform Distribution and Finding a Probability
- The Uniform Distribution and Conditional Probability
- Finding a Percentile for a Uniform Distribution
- Finding a Percentile for a Uniform Distribution (Second Example)
- The Exponential Distribution and Probability
- Finding the probability of an observation being less than a given value with the TI 84+ Calculator
- Finding the probability of an observation being greater than a given value with the TI 84+ Calculator
- Finding the probability of an observation being between two values with the TI 84+ Calculator
- Finding the value that represents the 5th percentile with the TI 84+ Calculator
- Finding the value at which 70% of the data lies above that value with the TI84+ Calculator
- Finding the Interquartile Range with the TI84+ Calculator
The Normal Approximation to the Binomial Distribution (With the Continuity Correction)
- Finding the probability that a count is less than a number with the TI84+ Calculator
- Finding the probability that a count is less than or equal to a number with the TI84+ Calculator
- Finding the probability that a count is greater than or equal to a number with the TI84+ Calculator
- Finding the probability that a count is greater than a number with the TI84+ Calculator
- Finding the probability that a count is between two numbers with the TI84+ Calculator
- Determining the Sampling Distribution
- Determining the Distribution of a Sum
- Using the Central Limit Theorem to Find a Probability with the TI 84+ Calculator
- Finding the Probability That a Sum is Between Two Numbers with the TI84+ Calculator
- Finding a Sample Mean Given a Percentile with the TI84+ Calculator
- Finding a Confidence Interval for a Single Population Proportion with the TI 84+ Calculator
- Finding a Confidence Interval for a Single Population Mean (s Known) with the TI84+ Calculator
- Finding a Confidence Interval for a Single Population Mean (s Unknown) with the TI 84+ Calculator
- Finding a Confidence Interval for a Single Population Mean (s Known, Data Given) with the TI 84+ Calculator
- Finding a Confidence Interval for a Single Population Mean (s Unknown, Data Given) with the TI84+ Calculator
- 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
- Dialog that Explains the Hypothesis Test Components and Conclusions For the iPhone/iPad
- 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, P-Value and Rejection Region) with the TI84+ Calculator
- Hypothesis Test for a Single Population Mean (s Unknown, Left Tailed, P-Value Only) with the TI84+ Calculator
- Hypothesis Test for a Single Population Proportion (Two Tailed, P-Value and Rejection Region) with the TI 84+ Calculator
- Hypothesis Test for a Single Population Mean (s Unknown Left Tailed Using P-Values, Data Given) with the TI 84+ Calculator
Hypothesis Tests for a Difference
- Hypothesis Test for the Difference Between Two Means (s Known,
P-Value, Rejection Region) with the TI 84+ Calculator
- Hypothesis Test for the Difference Between Two Means (s unknown, P-Value) with the TI 84+ Calculator
- Hypothesis Test for the
Difference Between Two Means (s unknown,
P-Value, Data Given) with the TI 84+ Calculator
- Hypothesis Test for a
Difference Between Proportions with the TI 84+ Calculator
- Hypothesis Test for
a Paired Difference with the TI 84+ Calculator
Confidence Intervals For a Difference
- Confidence Interval for the Difference Between Two Population Proportions with the TI 84+ Calculator
- Confidence Interval for the Difference Between Two Population Means (s Known, Independent Samples, Data Given) with the TI 84+ Calculator
- Confidence Interval for the Difference Between Two Population Means (s Unknown, Independent Samples) with the TI 84+ Calculator
- Confidence Interval for the Difference Between Two Population Means (s Unknown, Dependent Samples) with the TI 84+ Calculator
c-Squared, Regression Analysis, and ANOVA
- Finding the Equation of the Regression Line with the TI 84+ Calculator
- Finding and Interpreting the Correlation (r and r2) with the TI 84+ Calculator
- Testing a Hypothesis for Correlation (Reject H0) with the TI 84+ Calculator
- Testing a Hypothesis for Correlation (Fail to Reject H0) with the TI 84+ Calculator
-
c-Squared
Goodness of Fit (an example of rejecting the null hypothesis) with the TI 84+
Calculator
-
c-Squared
Goodness of Fit (an example of failing to reject the null hypothesis) with
the TI 84+ Calculator
- Finding an Expected
Count and a Part of c2
- c-Squared Test for Independence with the TI 84+ Calculator
- c-Squared Test for Independence (Find the P-Value given the c2) with the TI 84+ Calculator
- c-Squared Test for Homogeneity with the TI 84+ Calculator
- Performing a 1-Way ANOVA Test (Fail to Reject) with the TI 84+ Calculator
- Testing to See if 2 Variances are Different with the TI 84+ Calculator
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.