Stat calculator directions

# Stat calculator directions - USING A TI-83 OR TI-84 SERIES...

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U SING A TI-83 OR TI-84 S ERIES G RAPHING C ALCULATOR IN AN I NTRODUCTORY S TATISTICS C LASS W. S COTT S TREET , IV D EPARTMENT OF S TATISTICAL S CIENCES & O PERATIONS R ESEARCH V IRGINIA C OMMONWEALTH U NIVERSITY

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i © 2006 W. Scott Street, IV 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 α ) ............................. 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 ( ˆ y= a+ bx ) Correlation Coefficient ( r ) Coefficient of Determination ( r 2 ) 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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ii © 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 μ (when σ 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 μ (when σ 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 μ (normal pop., σ 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 μ (normal pop., σ 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 μ 1 μ 2 .............................................. 31 σ 1 and σ 2 are known (or large sample sizes) Normal populations, where σ 1 = σ 2 but are unknown Normal populations, where σ 1 σ 2 but are unknown Hypothesis Tests for μ 1 = μ 2 ................................................... 34 σ 1 and σ 2 are known (or large sample sizes) Normal populations, where σ 1 = σ 2 but are unknown Normal populations, where σ 1 σ 2 but are unknown Inference on Proportions in the TI-83/84 Confidence Intervals for π ...................................................... 37 Hypothesis Tests for π ........................................................... 38 Confidence Intervals for π 1 π 2 .............................................. 39 Hypothesis Tests for π 1 = π 2 ................................................... 40
1 © 2006 W. Scott Street, IV Getting to Know Your TI-83/84 Press É to begin using calculator. To stop, press y É M . To darken the screen, press y } alternately. To lighten the screen, press y † alternately. Press y Ã L

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