Casio fx-9750GII Manual do Utilizador

Casio Graphics Calculatorfx-9750GIIGuide for STAT 1932013This guide is for students in STAT193 using the fx-9750GII Casio Graphics Calculator.Some stu

8 Bivariate Data8.1 Entering bivariate dataExample. Diameters at breast height of 14 chestnut oak trees for a sample of such trees grownin poor soil.A

Then fit the line:•EXIT EXIT back to the data• F2 CALC• F3 REG• F1 X• F2 a + bX ← NB: use this option or a,b are reversedReports statistics from linear

Alternative Method for PredictionIf the data are already entered then graph the regression line•F1 GRPH•F2 GPH2•F1 CALC•F2 X•F2 a + bX ← NB: use this

9 Probability Distributions9.1 Binomial DistributionIf X ∼ Binomial(n, p) then the calculator can compute• Individual Probabilities: P(X = x)• Cumulat

9.2.1 Normal Probabilities in RangesNB: Use ±9 ×1099= ±9E99 for plus or minus infinity (±∞) when calculating left and righttail probabilities.Example:

Find P(X < 50)• F5 DIST•F1 NORM•F2 Ncd(‘c’ for cumulative)•LData; F2 Var•LLower;− 9 EXP9 9 EXE•LUpper; 5 0 EXE•Lσ; 1 2 EXE•Lµ; 8 1 EXE•LExecute; EX

Find x∗so that P(X > x∗) = 0.40(The area 0.40 is to the Right)•F5 DIST•F1 NORM•F3 InvN(Inverse Normal)•LData; F2 Var•LTail;F2 Right•LArea;0 . 4 0 E

9.3 t DistributionIf T ∼td= a t-distribution with d degrees of freedom then the calculator can compute• Probabilities in ranges: P(a < T < b)• I

9.4 F DistributionIf F ∼ F(d1,d2)= an F-distribution with (d1,d2) degrees of freedom then the calculator cancompute• Probabilities in ranges: P(a <

9.5 Chi-square DistributionIf X2∼χ2d= aχ2-distribution with d degrees of freedom then the calculator can compute• Probabilities in ranges: P(a < X2

8.3 Prediction using a fitted regression line . . . . . . . . . . . . . . . . . . . . . . 119 Probability Distributions 139.1 Binomial Distribution . .

10 Large Sample Confidence IntervalsLarge sample confidence intervals can be calculated for means, differences in means, propor-tions, differences in pr

10.2 Large Sample Confidence Interval for pIn addition to having n ≥30 must also check thatp ±3rp(1 − p)nis inside the range (0,1). A quick way to chec

11 Large Sample Hypothesis TestsLarge sample hypothesis tests can be carried out for means, differences in means, proportions,differences in proportio

•Lµ0; 9 . 4 EXE•Lσ; 2 . 3 EXE•L¯x; 1 0 . 2 EXE•Ln; 3 0 EXE•LExecute; EXEResult: Test Statistic, Z = 1.905, p-value = 0.05676.Critical value Z∗for a tw

•Lp0; 0 . 6 EXE•L¯x; 2 6 EXE•Ln; 4 0 EXE•LExecute; EXEResult: Test Statistic, Z = 0.6455, p-value = 0.25930.11.3 Large Sample Hypothesis Test forµ1−µ2

12 Small Sample Confidence IntervalsFor small samples (n < 30) of Normally distributed data.To compute a small sample confidence interval• F4 INTR (I

13 Small Sample Hypothesis TestsFor small samples (n < 30) of Normally distributed data.To carry out a small sample hypothesis test• F3 TEST• F2 t

•Lµ0; 2 5 . 6 EXE•L¯x; 3 0 . 6 EXE•Lsx; 9 . 5 EXE•Ln; 2 0 EXE•LExecute; EXEResult: Test Statistic, t = 2.354, p-value = 0.01475.The degrees of freedom

List 1 List 2 List 3 List 4SUB1 1 352 1 203 1 324 1 275 2 186 2 107 2 218 2 149 2 1310 3 1411 3 312 3 1613 3 1014 3 1115 3 12Once the data have been e

15 Chi-Squared TestExample. Married adults with at least one child reported their family type (intact or other) andwhether they experienced violent ac

1 Turning the calculator on and off• Turn on:AC/ON• Turn off: SHIFT AC/ONThe calculator will turn off automatically after a short time without activit

• F3 InvC•LData: F2 Var EXE•LArea: 0 . 0 1 EXE (α)•Ldf: 1 EXE ;•LExecute; EXEGivesχ2∗1= 6.6349: Rejection region is X2> 6.6349.16 The Sign TestExam

2 Important Keys• TheREPLAY button – represented asLin these notes.Use it to move around on the screen when needed.• TheMENU key accesses the main fun

4 Mathematical CalculationsUse your calculator in RUN-MAT mode:MENU ;LRUN-MAT; EXE .Type in mathematical expressions, and evaluate usingEXE .The answe

5 Scientific NotationThere is a standard way of expressing numbers that may be very large or very small.Powers of ten are:100= 1101= 10 10−1= 0.1102= 1

6 Entering, Editing and Deleting DataUse your calculator in STAT mode: MENU ;LSTAT; EXE .You’ll see the List layout:List 1 List 2 List 3 List 4SUB123.

7 Summary Statistics for One VariableUse your calculator in STAT mode: MENU ;LSTAT; EXE .7.1 Individual ValuesData are the n = 9 values: 2, 5, 5, 8, 8

7.2 Grouped DataInput xi’s using frequencies:xi2 5 8 11 14fi1 2 3 2 1Enter the xi’s into List 1: 2EXE 5 EXE 8 EXE 11 EXE 14Enter the fi’s into List 2: