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Sharp EL-9600 Statistical Tests/STATISTICS USING THE SHARP EL-9600 51

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The first item on the screen, µ>8, is the alternate hypothesis of the statistical

test. Supporting the alternate hypothesis in this case would mean "da Bears," on

the average, win more than 8 games in a season and thus are a winning ball team.

The null hypothesis is not shown on the screen because it is always the same as

the alternate except it is an equality (µ=8). The second item on the screen is the

observed statistic from the sample (observed t). From it, the third item on

the screen is calculated and it represents the decision statistic (pvalue).

Typically in science, the .05 level of significance is used in making decisions.

Deviation from this level of significance would need to be defended in a report.

A .05 level of significance means that if our observed statistic from the sample

falls in the rare 5%, we will reject the null hypothesis and support the alternate

hypothesis.

Therefore, if your pvalue is less than .05 you will reject the null hypothesis and

support the alternate hypothesis. In our problem, the pvalue is .0482 which

is less than .05. Our decision is to reject the null hypothesis that µ=8 and

support the alternate hypothesis that µ>8. This test clearly shows that "da

Bears" average more than 8 wins a season and thus are a winning football team.

If the pvalue is greater than .05 you would support the null hypothesis that µ=8.

The fourth, fifth and sixth items on the screen show the sample average,

sample standard deviation and sample size. On the average, "da Bears"

win approximately 9 games a season.

Method of Teaching

Use Blackline Masters 10.1 and 10.2 to create overheads for performing statistical

tests. Go over in detail the five parts of a statistical test and the items generated

by the calculator.

Next, use Blackline Master 10.3 to create a worksheet for the students. Have the

students enter the data points, compute the regression models, and overlay the

models and scatter diagram. Use the topics For Discussion to supplement the

worksheets.

Statistical Tests/STATISTICS USING THE SHARP EL-9600 51

Contents

Main Applying STATISTICS using the SHARP EL-9600 GRAPHING CALCULATOR David P. Lawrence Southwestern Oklahoma State University ii CONTENTS CHAPTER TOPIC PAGE Page 2 Creation of a One-Variable Data Set/STATISTICS USING THE SHARP EL-9600 3 Using Blackline Master 1.2 4 Creation of a One-Variable Data Set/STATISTICS USING THE SHARP EL-9600 5 6 NUMERICAL DESCRIPTION OF A 0NE-VARIABLE DATA SET Chapter two Numerical Description of a One-Variable Data Set/STATISTICS USING THE SHARP EL-9600 7 8 Using Blackline Master 2.2 Numerical Description of a One-Variable Data Set/STATISTICS USING THE SHARP EL-9600 9 10 Histogram Representation of a One-Variable Data Set/STATISTICS USING THE SHARP EL-9600 11 HISTOGRAM REPRESENTATION OF A ONE-VARIABLE DATA SET Chapter three 12 Histogram Representation of a One-Variable Data Set/STATISTICS USING THE SHARP EL-9600 13 Using Blackline Master 3.2 14 Histogram Representation of a One-Variable Data Set/STATISTICS USING THE SHARP EL-9600 15 16 OTHER GRAPHICAL PORTRAYALS OF A ONE-VARIABLE DATA SET Chapter four Other Graphical Portrayals of a One-Variable Data Set/STATISTICS USING THE SHARP EL-9600 17 Using Blackline Master 4.2 18 Other Graphical Portrayals of a One-Variable Data Set/STATISTICS USING THE SHARP EL-9600 19 20 Page 22 Using Blackline Master 5.2 Creation of a Two-Variable Data Set/STATISTICS USING THESHARP EL-9600 23 24 Page 26 NUMERICAL DESCRIPTION OF A TWO-VARIABLE DATA SET Chapter six Page 28 Using Blackline Master 6.2 Numerical Description of a Two-Variable Data Set/STATISTICS USING THESHARP EL-9600 29 Page Numerical Description of a Two-Variable Data Set/STATISTICS USING THESHARP EL-9600 31 32 GRAPHICAL PORTRAYAL OF A TWO-VARIABLE DATA SET Chapter seven Graphical Portrayal of a Two-Variable Data Set/STATISTICS USING THESHARP EL-9600 33 Using Blackline Master 7.2 34 Graphical Portrayal of a Two-Variable Data Set/STATISTICS USING THESHARP EL-9600 35 36 Graphical Portrayal of a Two-Variable Data Set/STATISTICS USING THESHARP EL-9600 37 38 LINEAR REGRESSIONS Chapter eight Linear Regressions/STATISTICS USINGTHE SHARP EL-9600 39 40 Using Blackline Master 8.2 Linear Regressions/STATISTICS USINGTHE SHARP EL-9600 41 42 Linear Regressions/STATISTICS USINGTHE SHARP EL-9600 43 44 OTHER REGRESSIONS AND MODEL OF BEST FIT Chapter nine Other Regressions and Model of Best Fit/STATISTICS USING THE SHARP EL-9600 45 46 Using Blackline Master 9.2 Other Regressions and Model of Best Fit/STATISTICS USING THE SHARP EL-9600 47 Additional Problem 48 STATISTICAL TESTS Chapter ten Statistical Tests/STATISTICS USING THE SHARP EL-9600 49 50 Statistical Tests/STATISTICS USING THE SHARP EL-9600 51 Using Blackline Master 10.2 52 Statistical Tests/STATISTICS USING THE SHARP EL-9600 53 Additional Problem 54 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 55 CONTENTS OF REPRODUCIBLE BLACKLINE MASTERS 1.1 56 Steps for creating a non-weighted one-variable data set 1.2 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 57 Steps for creating a weighted one-variable data set 1.3 58 Activity 1 Creating a non-weighted one-variable data set Activity 2 Creating a weighted one-variable data set 2.1 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 59 Steps for calculating numerical descriptions of a one-variable non-weighted data set 2.2 60 Steps for calculating numerical descriptions of a one-variable weighted data set 2.3 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 61 Activity 1 Calculating the numerical descriptions for a non-weighted one-variable data set 2.4 62 Activity 2 Calculating the numerical descriptions for a weighted one-variable data set 3.1 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 63 Steps for creating a non-weighted data set's histogram 3.2 64 Steps for creating a weighted data set's histogram 3.3 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 65 Activity 1 Creating a non-weighted data set's histogram Activity 2 Creating a weighted data set's histogram 4.1 66 Steps for creating a non-weighted data set's broken-line graph 4.2 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 67 Steps for creating a weighted data set's box-and-whisker chart 4.3 68 Activity 1 Creating a non-weighted data set's broken-line graph Activity 2 Creating a weighted data set's box-and-whisker chart 5.1 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 69 Steps for creating a non-weighted two-variable data set 5.2 70 Steps for creating a weighted two-variable data set 5.3 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 71 Activity 1 Creating a non-weighted two-variable data set Activity 2 Creating a weighted two-variable data set 6.1 72 Steps for calculating numerical descriptions of a two-variable 6.2 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 73 Steps for calculating numerical descriptions of a two-variable 6.3 74 Activity 1 Calculating the numerical descriptions for non- weighted two-variable data set Activity 2 Calculating the numerical descriptions for a weighted two-variable data set Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 75 GRAPHICAL PORTRAYAL OF A TWO-VARIABLE DATA SET 7.1 76 Drawing a scatter diagram of a two-variable data set GRAPHIC PORTRYAL OF A TWO-VARIABLE DATA SET 7.2 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 77 Activity 1 Drawing a scatter diagram of a non-weighted two-variable data set GRAPHICAL PORTRAYAL OF A TWO-VARIABLE DATA SET 7.3 78 Activity 2 Drawing a scatter diagram of a weighted two-variable GRAPHIC PORTRAYAL OF A TWO-VARIABLE DATA SET 7.4 8.1 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 79 Steps for calculating the best-fitting line 8.2 80 Calculating the best-fitting line 8.3 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 81 Activity 1 Calculate and plot the regression line. Activity 2 Calculate and plot the regression line. 9.1 82 Steps for calculating other regression models Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 83 Model of best fit OTHER REGRESSIONS AND MODEL OF BEST FIT 9.2 9.3 84 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 85 Use the data from Blackline Master 9.1. Activity 3 Calculate the inverse regression model. Activity 4 Which regression model fits the best? OTHER REGRESSIONS AND MODEL OF BEST FIT 9.4 10.1 86 Steps for performing a one-small-sample hypothesis test for the population mean 10.2 Blackline Masters/STATISTICS USINGTHE SHARP EL-9600 87 Steps for performing a two-small-sample hypothesis test for the population means 10.3 88 Activity 1 Perform a one-small-sample hypothesis test for the population mean. Activity 2 Perform a two-small-sample hypothesis test for the population means. Keypad/STATISTICS USINGTHE SHARP EL-9600 89 KEYPAD FOR THE SHARP EL-9600 GRAPHING CALCULATOR Equation Editor EZ BS CL ON 90 SOLUTIONS TO SELECTED ACTIVITIES Answer Key/STATISTICS USINGTHE SHARP EL-9600 91