USING A TI-83 OR TI-84 SERIES GRAPHING CALCULATOR IN AN ...

USING A TI-83 OR TI-84 SERIES GRAPHING CALCULATOR

IN AN INTRODUCTORY STATISTICS CLASS

W. SCOTT STREET, IV DEPARTMENT OF STATISTICAL SCIENCES & OPERATIONS RESEARCH

VIRGINIA COMMONWEALTH UNIVERSITY

Table of Contents

Getting to Know Your TI-83/84 Calculator Introduction ............................................................ 1 Owner Program ....................................................................... 2

Data Graphs, and Univariate Statistics in the TI-83/84 Entering Data ........................................................................... 3 Plotting Statistical Graphs ........................................................ 4

Preparation Frequency Histograms Histograms of Grouped Data Boxplots and Modified Boxplots

Univariate Statistics (Statistics for One Variable) ..................... 7

Relative Frequencies Sample Mean Standard Deviation Sum of the Data Values Sum of the Squared Data Values Sample Size Five-Number Summary

Normal Distribution Methods in the TI-83/84 Normal Probabilities ................................................................. 8

Finding a Z-score for a Specified Area (Z) ............................. 9 Finding Observations for a Specified Percentage or Area ........ 9 Assessing Normality of Data (Normal Probability Plots)........ 10

Regression Methods in the TI-83/84 Creating Scatterplots .............................................................. 11 Bivariate Statistics (Statistics for Two Variables)................... 12 Least-Squares Linear Regression ........................................... 13

Regression Equation ( y^ = a+ bx)

Correlation Coefficient (r) Coefficient of Determination (r2) Prediction Residual Analysis

Discrete Random Variables in the TI-83/84 Expected Value (Mean) of a Discrete Random Variable ......... 16 Standard Deviation of a Discrete Random Variable................ 16

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? 2006 W. Scott Street, IV

Binomial Probabilities in the TI-83/84 Factorials................................................................................ 17 Binomial Coefficients.............................................................. 17 Binomial Probabilities.............................................................. 17 Cumulative Binomial Probabilities ........................................... 18

Inference on Means in the TI-83/84, Part 1 Confidence Intervals for ? (when is known) ...................... 19

Data is in one list Data is in a frequency distribution table Summary statistics for the data are given

Hypothesis Tests for ? (when is known) ............................ 22

Data is in one list Data is in a frequency distribution table Summary statistics for the data are given

Inference on Means in the TI-83/84, Part 2 Confidence Intervals for ? (normal pop., is not known) ..... 25

Data is in one list Data is in a frequency distribution table Summary statistics for the data are given

Hypothesis Tests for ? (normal pop., is not known) .......... 28

Data is in one list Data is in a frequency distribution table Summary statistics for the data are given

Inference on Means in the TI-83/84, Part 3 Confidence Intervals for ?1 ? ?2 .............................................. 31

1 and 2 are known (or large sample sizes) Normal populations, where 1 = 2 but are unknown Normal populations, where 1 2 but are unknown

Hypothesis Tests for ?1 = ?2 ................................................... 34

1 and 2 are known (or large sample sizes) Normal populations, where 1 = 2 but are unknown Normal populations, where 1 2 but are unknown

Inference on Proportions in the TI-83/84 Confidence Intervals for ...................................................... 37 Hypothesis Tests for ........................................................... 38 Confidence Intervals for 1 ? 2 .............................................. 39 Hypothesis Tests for 1 = 2 ................................................... 40

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Getting to Know Your TI-83/84

Press ? to begin using calculator. To stop, press y ? M. To darken the screen, press y } alternately. To lighten the screen, press y alternately. Press y ? L to reset or clear the memory of the calculator.

1. ? works as the equals key 2. y permits access to the yellow options above the keys 3. permits access to the green alphabetic letters above the keys 4. y 7 alphabetic letter lock 5. ,, prints X in function mode; prints T in parametric mode; prints ! in polar mode; prints n

in sequence graphing mode 6. > is the exponent key (raises to the power entered next) 7. Ois the alphabetic space key (in green, above ?) 8. y> B enters the numerical constant 9. ? is the negative key 10. y?Z recalls the last answer 11. y?[ recalls the most previous entry (repeat for more previous entries) 12. { deletes the character marked by the cursor 13. y{6 permits insertion of a character at the position before the cursor 14. z sets various modes of calculator At present, your calculator should have the following

settings highlighted: Normal, Float, Radian, Function, Connected, Sequential, Real, Full 15. MATH (options) 1. display answer as a fraction

2. display answer as a decimal 3. cube a number 4. take the cube root of a number 5. take the xth root of a number 6. minimum of a function 7. maximum of a function 8. numerical derivative 9. function integral 0. solves for any variable in an equation

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? 2006 W. Scott Street, IV

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