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

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