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Casio FX-CG10 Software User Guide - Page 239

Confidence Interval

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6. Confidence Interval A confidence interval is a range (interval) that includes a statistical value, usually the population mean. A confidence interval that is too broad makes it difficult to get an idea of where the population value (true value) is located. A narrow confidence interval, on the other hand, limits the population value and makes it difficult to obtain reliable results. The most commonly used confidence levels are 95% and 99%. Raising the confidence level broadens the confidence interval, while lowering the confidence level narrows the confidence level, but it also increases the chance of accidently overlooking the population value. With a 95% confidence interval, for example, the population value is not included within the resulting intervals 5% of the time. When you plan to conduct a survey and then t test and Z test the data, you must also consider the sample size, confidence interval width, and confidence level. The confidence level changes in accordance with the application. 1-Sample Z Interval calculates the confidence interval for an unknown population mean when the population standard deviation is known. 2-Sample Z Interval calculates the confidence interval for the difference between two population means when the population standard deviations of two samples are known. 1-Prop Z Interval calculates the confidence interval for an unknown proportion of successes. 2-Prop Z Interval calculates the confidence interval for the difference between the proportion of successes in two populations. 1-Sample t Interval calculates the confidence interval for an unknown population mean when the population standard deviation is unknown. 2-Sample t Interval calculates the confidence interval for the difference between two population means when both population standard deviations are unknown. On the initial Statistics mode screen, press 4(INTR) to display the confidence interval menu, which contains the following items. • 4(INTR)1(Z) ... Z intervals (page 6-47) 2(t) ... t intervals (page 6-48) After setting all the parameters, use c to move the highlighting to "Execute" and then press the function key shown below to perform the calculation. • 1(CALC) ... Performs the calculation. • There is no graphing for confidence interval functions. 6-46

Section	Page
Contents	3
Getting Acquainted — Read This First!	6
Chapter 1 Basic Operation	8
1. Keys	8
2. Display	10
3. Inputting and Editing Calculations	14
4. Using the Math Input/Output Mode	20
5. Option (OPTN) Menu	34
6. Variable Data (VARS) Menu	35
7. Program (PRGM) Menu	38
8. Using the Setup Screen	39
9. Using Screen Capture	43
10. When you keep having problems...	44
Chapter 2 Manual Calculations	47
1. Basic Calculations	47
2. Special Functions	53
3. Specifying the Angle Unit and Display Format	58
4. Function Calculations	60
5. Numerical Calculations	70
6. Complex Number Calculations	80
7. Binary, Octal, Decimal, and Hexadecimal Calculations with Integers	84
8. Matrix Calculations	87
9. Metric Conversion Calculations	104
Chapter 3 List Function	108
1. Inputting and Editing a List	108
2. Manipulating List Data	114
3. Arithmetic Calculations Using Lists	120
4. Switching between List Files	124
5. Using CSV Files	125
Chapter 4 Equation Calculations	128
1. Simultaneous Linear Equations	128
2. High-order Equations from 2nd to 6th Degree	130
3. Solve Calculations	131
Chapter 5 Graphing	133
1. Sample Graphs	133
2. Controlling What Appears on a Graph Screen	136
3. Drawing a Graph	145
4. Saving and Recalling Graph Screen Contents	152
5. Drawing Two Graphs on the Same Screen	155
6. Manual Graphing	157
7. Using Tables	162
8. Modifying a Graph	168
9. Dynamic Graphing	172
10. Graphing a Recursion Formula	175
11. Graphing a Conic Section	180
12. Drawing Dots, Lines, and Text on the Graph Screen (Sketch)	182
13. Function Analysis	184
Chapter 6 Statistical Graphs and Calculations	194
1. Before Performing Statistical Calculations	194
2. Calculating and Graphing Single-Variable Statistical Data	201
3. Calculating and Graphing Paired-Variable Statistical Data (Curve Fitting)	207
4. Performing Statistical Calculations	215
5. Tests	225
6. Confidence Interval	239
7. Distribution	242
8. Input and Output Terms of Tests, Confidence Interval, and Distribution	258
9. Statistic Formula	261
Chapter 7 Financial Calculation	265
1. Before Performing Financial Calculations	265
2. Simple Interest	267
3. Compound Interest	268
4. Cash Flow (Investment Appraisal)	271
5. Amortization	273
6. Interest Rate Conversion	276
7. Cost, Selling Price, Margin	277
8. Day/Date Calculations	278
9. Depreciation	279
10. Bond Calculations	281
11. Financial Calculations Using Functions	284
Chapter 8 Programming	285
1. Basic Programming Steps	285
2. Program Mode Function Keys	286
3. Editing Program Contents	288
4. File Management	290
5. Command Reference	295
6. Using Calculator Functions in Programs	312
7. Program Mode Command List	335
8. CASIO Scientific Function Calculator Special Commands ⇔ Text Conversion Table	343
9. Program Library	350
Chapter 9 Spreadsheet	352
1. Spreadsheet Basics and the Function Menu	352
2. Basic Spreadsheet Operations	354
3. Using Special Spreadsheet Mode Commands	370
4. Conditional Formatting	372
5. Drawing Statistical Graphs, and Performing Statistical and Regression Calculations	378
6. Spreadsheet Mode Memory	385
Chapter 10 eActivity	388
1. eActivity Overview	388
2. eActivity Function Menus	389
3. eActivity File Operations	391
4. Inputting and Editing Data	393
Chapter 11 Memory Manager	411
1. Using the Memory Manager	411
Chapter 12 System Manager	424
1. Using the System Manager	424
2. System Settings	424
Chapter 13 Data Communication	432
1. Performing Data Communication between the Calculator and a Personal Computer	434
2. Performing Data Communication between Two Calculators	441
3. Connecting the Calculator to a Projector	447
Chapter 14 Geometry	448
1. Geometry Mode Overview	448
2. Drawing and Editing Objects	458
3. Controlling the Appearance of the Geometry Window	480
4. Using Text and Labels in a Screen Image	484
5. Using the Measurement Box	488
6. Working with Animations	503
Chapter 15 Picture Plot	512
1. Picture Plot Function Menus	514
2. Managing Picture Plot Files	516
3. Using the Plot Function	518
4. Using the Plot List	524
5. Common Functions with the Graph Mode	529
Appendix	530
1. Error Message Table	530
2. Input Ranges	543
E-Con2 Application	545
1. E-Con2 Overview	546
2. Using the Setup Wizard	547
3. Using Advanced Setup	553
4. Using a Custom Probe	564
5. Using the MULTIMETER Mode	568
6. Using Setup Memory	569
7. Using Program Converter	572
8. Starting a Sampling Operation	575
9. Using Sample Data Memory	578
10. Using the Graph Analysis Tools to Graph Data	580
11. Graph Analysis Tool Graph Screen Operations	584

Match case Limit results 1 per page

6-46

6. Confidence Interval

A confidence interval is a range (interval) that includes a statistical value, usually the

population mean.

A confidence interval that is too broad makes it difficult to get an idea of where the population

value (true value) is located. A narrow confidence interval, on the other hand, limits the

population value and makes it difficult to obtain reliable results. The most commonly used

confidence levels are 95% and 99%. Raising the confidence level broadens the confidence

interval, while lowering the confidence level narrows the confidence level, but it also

increases the chance of accidently overlooking the population value. With a 95% confidence

interval, for example, the population value is not included within the resulting intervals 5% of

the time.

When you plan to conduct a survey and then

test and

test the data, you must also consider

the sample size, confidence interval width, and confidence level. The confidence level changes

in accordance with the application.

1-Sample

Interval

calculates the confidence interval for an unknown population mean when

the population standard deviation is known.

2-Sample

Interval

calculates the confidence interval for the difference between two

population means when the population standard deviations of two samples are known.

1-Prop

Interval

calculates the confidence interval for an unknown proportion of successes.

2-Prop

Interval

calculates the confidence interval for the difference between the proportion

of successes in two populations.

1-Sample

Interval

calculates the confidence interval for an unknown population mean when

the population standard deviation is unknown.

2-Sample

Interval

calculates the confidence interval for the difference between two

population means when both population standard deviations are unknown.

On the initial

Statistics

mode screen, press

(INTR) to display the confidence interval

menu, which contains the following items.

•

(INTR)

(Z) ...

intervals (page 6-47)

(t) ...

intervals (page 6-48)

After setting all the parameters, use

to move the highlighting to “Execute” and then press

the function key shown below to perform the calculation.

•

(CALC) ... Performs the calculation.

• There is no graphing for confidence interval functions.