Statistical Inference on the TI-83+/86/89

This site contains typical problems and solutions on the general statistics topics of probability distributions, confidence intervals, hypothesis testing, analysis of variance, and correlation analysis. Detailed survey sampling projects are also included.

The materials here are designed to supplement a general descriptive statistics course. Throughout, the problems are worked with programs suited for the TI-83+, TI-86, and TI-89 calculators. By using the calculator programs to work the problems, virtually all of the formula memorization, hand calculation, and textbook charts are taken out of the course. Thus, students can concentrate on understanding the results, drawing conclusions, and learning when and how to apply the proper procedure and program to solve a problem.

These materials were developed by David K. Neal, Department of Mathematics, Western Kentucky University, Bowling Green, KY 42101 USA: david.neal@wku.edu.


Download Instructions
Setting Up the TI-86
Setting Up the TI-89



Basic Statistics
(No programs required)


Program Topics


Discrete Distributions

The Binomial Random Variable

The Poisson Random Variable

The Geometric Random Variable

The Negative Binomial Random Variable

The Hypergeometric Random Variable


Combined Discrete Distribution Program


Continuous Distributions

The Normal Distributions

The t-Distributions

The Chi-Square Distributions

The F-Distributions

The Exponential Distributions


Combined Continuous Distribution Programs



Confidence Intervals

Confidence Interval for Mean of an Arbitrary Population

Confidence Interval for Mean of a Normally Distributed Population

Confidence Interval for a Proportion

Confidence Interval for the Difference of Means Between Two Independent Arbitrary Populations

Confidence Interval for the Difference of Means Between Two Independent Normal Populations

Confidence Interval for the Difference Between Proportions

Confidence Interval for Variance of a Normally Distributed Population

Confidence Interval for Ratio of Variances of Independent Normal Populations




Hypothesis Tests

Hypothesis Tests about the Mean of an Arbitrary Population

Hypothesis Tests about the Mean of a Normally Distributed Population

Hypothesis Tests about a Proportion

Hypothesis Tests about the Difference of Means of Two Independent Arbitrary Populations

Hypothesis Tests about the Difference of Means of Two Independent Normal Populations

Hypothesis Tests about the Difference of Proportions

Hypothesis Tests about the Variance of a Normally Distributed Population

Hypothesis Tests about the Ratio of Variances of Independent Normal Populations




Advanced Hypothesis Tests

Goodness of Fit Test for Normality

One-Way Anova

Two-Way Anova

Correlation Analysis


Nonparametric Tests

The Sign Test

The Rank Sum Test

The Signed-Rank Test

The Kruskal-Wallis Test



Miscellaneous

Inverse Normal Calculations

Determining Sample Size

z-scores

t-scores

Random Sample

Moving Average


Projects

Survey on Population Mean

Survey on Population Proportions

Can We Use Anova?



Latest Updates: (6-10-03) - The projects have been revised. Projects 1 and 2 now include a section on determining sample size. Project 3 now uses the Kruskal-Wallis test when the conditions for using ANOVA are not met.

(6-03-03) - The hypothesis tests programs have been slightly revised. In particular, the ZMNTEST and Z2MNTEST programs now can take into account a finite population correction factor.

(5-30-03) - The discrete distribution programs have been slightly revised for efficiency.

(5-28-03) - The confidence interval programs have been slightly revised. In particular, the ZCONFINT and DIFMNCI programs now can take into account a finite population correction factor.

(5-21-03) - The continuous distributions have all been revised. There is now an option to specify what type of probability is to be computed.

(5-20-03) - The Sign Test, Rank Sum Test, and Signed Rank Test programs have been revised to include an option for specifying the alternative hypothesis.

(5-18-03) - (1) The topics under Miscellaneous listed at the bottom of the page have been added.
(2) The ZQUANT program has been deleted and replaced with the INVNORM program.
(3) The SAMPSIZE program has been revised to include an option for finite populations.
(4) The TI-89 custom menu has been revised to include the new miscellaneous programs.



David Neal's Homepage
WKU Math Department
Western Online


Last updated June 10, 2003
david.neal@wku.edu
All contents copyright (c) 1996-2003,
David K. Neal and Western Kentucky University.