USING A TI-83 OR TI-84 SERIES GRAPHING CALCULATOR IN AN ...
嚜燃SING A TI-83 OR TI-84 SERIES GRAPHING
CALCULATOR
IN AN INTRODUCTORY STATISTICS CLASS
W. SCOTT S TREET, IV
DEPARTMENT OF S TATISTICAL 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汐) ............................. 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 考 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 考 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., 考 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., 考 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 每 ?2 .............................................. 31
考1 and 考2 are known (or large sample sizes)
Normal populations, where 考1 = 考2 but are unknown
Normal populations, where 考1 ≧ 考2 but are unknown
Hypothesis Tests for ?1 = ?2 ................................................... 34
考1 and 考2 are known (or large sample sizes)
Normal populations, where 考1 = 考2 but are unknown
Normal populations, where 考1 ≧ 考2 but are unknown
Inference on Proportions in the TI-83/84
Confidence Intervals for 羽...................................................... 37
Hypothesis Tests for 羽 ........................................................... 38
Confidence Intervals for 羽1 每 羽2 .............................................. 39
Hypothesis Tests for 羽1 = 羽2 ................................................... 40
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? 2006 W. Scott Street, IV
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.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
? works as the equals key
y permits access to the yellow options above the keys
? permits access to the green alphabetic letters above the keys
y ? 7 alphabetic letter lock
? prints X in function mode; prints T in parametric mode; prints ! in polar mode; prints n
in sequence graphing mode
? is the exponent key (raises to the power entered next)
O is the alphabetic space key (in green, above ?)
y ? B enters the numerical constant
? is the negative key
y ? Z recalls the last answer
y ? [ recalls the most previous entry (repeat for more previous entries)
{ deletes the character marked by the cursor
y { 6 permits insertion of a character at the position before the cursor
z sets various modes of calculator At present, your calculator should have the following
settings highlighted: Normal, Float, Radian, Function, Connected, Sequential, Real, Full
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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