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11-8 Inference aplet
Hypothesis tests
You use hypothesis tests to test the validity of hypotheses
that relate to the statistical parameters of one or two
populations. The tests are based on statistics of samples
of the populations.
The HP 39gs hypothesis tests use the Normal
Z-distribution or Student’s t-distribution to calculate
probabilities.
One-Sample Z-Test
Menu name Z-Test: 1 μ
On the basis of statistics from a single sample, the
One-Sample Z-Test measures the strength of the evidence
for a selected hypothesis against the null hypothesis. The
null hypothesis is that the population mean equals a
specified value Η
0
: μ = μ
0
.
You select one of the following alternative hypotheses
against which to test the null hypothesis:
Inputs The inputs are:
H
1
:μ
1
μ
2
<
H
1
:μ
1
μ
2
>
H
1
:μ
1
μ
2
≠
Field name Definition
Sample mean.
n Sample size.
μ
0
Hypothetical population mean.
σ Population standard deviation.
α Significance level.
x
HP 39gs English.book Page 8 Wednesday, December 7, 2005 11:24 PM
- HP 39gs graphing calculator 1
- Printing History 2
- Contents 3
- 11 Inference aplet 5
- 12 Using the Finance Solver 5
- 15 Matrices 6
- 16 Lists 6
- 17 Notes and sketches 6
- 18 Programming 6
- 19 Extending aplets 7
- Manual conventions 9
- Getting started 11
- The display 12
- The keyboard 13
- Aplet control keys 14
- Entry/Edit keys 15
- Shifted keystrokes 16
- Getting started 1-7 17
- Program 18
- Input forms 19
- Mode settings 20
- Setting a mode 21
- Aplets (E-lessons) 22
- Quad Explorer 24
- Getting started 1-15 25
- Aplet library 26
- Aplet views 26
- Overlay Plot 27
- Aplet view configuration 28
- Mathematical calculations 29
- Example Calculate : 30
- Example Calculate 30
- Getting started 1-21 31
- Last output 32
- Last input 32
- Edit line 32
- Getting started 1-23 33
- Storing a value 34
- Using fractions 35
- Setting fraction 36
- Fraction 37
- Converting 38
- Complex numbers 39
- Catalogs and editors 40
- Aplets and their views 41
- 2-2 Aplets and their views 42
- Evaluating expressions 43
- 2-4 Aplets and their views 44
- About the Plot view 45
- Plot view 46
- To move between 48
- Zoom within a 49
- 2-10 Aplets and their views 50
- Aplets and their views 2-11 51
- 2-12 Aplets and their views 52
- VIEWS menu 53
- 2-14 Aplets and their views 54
- Trigonometric 55
- About the numeric view 56
- Aplets and their views 2-17 57
- 2-18 Aplets and their views 58
- NUM), choose 59
- CLEAR) 59
- “Build Your Own” menu keys 60
- Example: plotting a circle 60
- SETUP-NUM 61
- Function aplet 63
- Define the 64
- Plot the 64
- Change the 65
- Analyse graph 66
- Function aplet 3-5 67
- Display the 69
- Explore the 69
- 3-8 Function aplet 70
- Access FCN 71
- 3-10 Function aplet 72
- Function aplet 3-11 73
- CLEAR to clear all lines.) 74
- CHARS ≤ 74
- CHARS > 1 74
- AND CHARS ≤ 1 74
- Parametric aplet 75
- Set angle 76
- Polar aplet 79
- and R1 80
- Sequence aplet 81
- Solve aplet 85
- 7-2 Solve aplet 86
- Solve the 87
- Solve aplet’s NUM view keys 88
- Use an initial guess 89
- Interpreting results 90
- Plotting to find guesses 91
- 7-8 Solve aplet 92
- Solve aplet 7-9 93
- Using variables in equations 94
- Linear Solver aplet 95
- Choose the 96
- Define and 96
- Linear Solver aplet 8-3 97
- Triangle Solve aplet 99
- 9-2 Triangle Solve aplet 100
- Errors No solution with 101
- 9-4 Triangle Solve aplet 102
- Statistics aplet 103
- Open the 104
- Choose fit and 105
- SETUP-PLOT 106
- Statistics aplet 10-5 107
- 10-6 Statistics aplet 108
- Statistics aplet 10-7 109
- 10-8 Statistics aplet 110
- CLEAR is used the 111
- Sort data 113
- Defining a regression model 114
- To define your 115
- Computed statistics 116
- Plotting You can plot: 117
- Plot types 118
- Fitting a curve to 2VAR data 119
- SETUP-PLOT) sets most of the 120
- Trouble-shooting a plot 121
- Exploring the graph 121
- Calculating predicted values 122
- Statistics aplet 10-21 123
- Inference aplet 125
- 11-2 Inference aplet 126
- Select the 127
- 11-4 Inference aplet 128
- Calculate 129
- 11-6 Inference aplet 130
- Display Numeric 131
- Display Plot 131
- Hypothesis tests 132
- Results The results are: 133
- Menu name Z-Test: μ1–μ2 133
- Inputs The inputs are: 133
- Menu name Z-Test: 1π 134
- Menu name Z-Test: π1 – π2 135
- Menu name T-Test: 1 μ 136
- Menu name T-Test: μ1 – μ2 138
- Confidence intervals 139
- Two-Sample Z-Interval 140
- One-Proportion Z-Interval 141
- Two-Proportion Z-Interval 141
- One-Sample T-Interval 142
- Two-Sample T-Interval 143
- Using the Finance Solver 145
- Background 145
- 12-2 Using the Finance Solver 146
- Using the Finance Solver 12-3 147
- Performing TVM calculations 148
- Example 1 - Loan calculations 149
- 12-6 Using the Finance Solver 150
- Calculating Amortizations 151
- 12-8 Using the Finance Solver 152
- Using mathematical functions 153
- Math functions by category 154
- Keyboard functions 155
- ASIN Arc sine: sin 156
- ACOS Arc cosine: cos 156
- ATAN Arc tangent: tan 157
- Complex number functions 159
- Constants 160
- Conversions 160
- Hyperbolic trigonometry 161
- List functions 162
- Loop functions 162
- Matrix functions 163
- Polynomial functions 163
- Probability functions 164
- Real-number functions 165
- Two-variable statistics 169
- Symbolic functions 169
- Test functions 170
- Trigonometry functions 171
- Symbolic calculations 172
- Finding derivatives 173
- To find derivatives 174
- To find the 175
- Program constants 176
- Physical constants 177
- Introduction 179
- To store the results 180
- To use variables in 181
- The VARS menu 182
- To access an aplet 186
- Memory Manager 187
- Matrices 189
- Creating and storing matrices 190
- To create a matrix 191
- Working with matrices 192
- To display one 193
- Matrix arithmetic 194
- Matrices 15-7 195
- To divide by a 196
- To negate each 196
- Matrices 15-9 197
- Matrix functions and commands 198
- Matrices 15-11 199
- 15-12 Matrices 200
- Examples 201
- Transposing a 202
- Reduced-Row 202
- Echelon Form 202
- Matrices 15-15 203
- Create a list in 205
- CLEAR Clears all lists 206
- Displaying and editing lists 208
- To insert an element 209
- To store one 209
- Lists 16-7 211
- 16-8 Lists 212
- Lists 16-9 213
- 16-10 Lists 214
- Notes and sketches 215
- Note edit keys 216
- Aplet sketch view 217
- DRAW keys 218
- Notes and sketches 17-5 219
- The notepad 220
- Notepad Catalog keys 221
- NOTEPAD), open the note 222
- Programming 223
- Program catalog 224
- Program catalog keys 225
- Creating and editing programs 226
- PROGRM to 227
- CHARS menu 228
- Using programs 229
- Transmit a 230
- Customizing an aplet 231
- Aplet naming convention 232
- Configuring the 233
- Setviews menu 233
- 18-12 Programming 234
- Programming commands 235
- Aplet commands 236
- Auto-run programs 237
- ProgramName 238
- ViewNumber 238
- Branch commands 239
- 18-18 Programming 240
- Drawing commands 241
- 18-20 Programming 242
- Graphic commands 243
- 18-22 Programming 244
- PageNum: 244
- Loop commands 245
- Matrix commands 246
- Programming 18-25 247
- Print commands 248
- Prompt commands 248
- Programming 18-27 249
- A:CHOOSE A; 249
- CMDS 250
- NOTE and type AREA IS 251
- Stat-One commands 252
- Stat-Two commands 252
- Programming 18-31 253
- Plot-view variables 254
- Hmin/Hmax 255
- InvCross 255
- Recenter 256
- S1mark–S5mark 257
- StatPlot 257
- Umin/Umax 258
- Tmin / Tmax 258
- Xmin / Xmax 259
- Ymin / Ymax 260
- Symbolic-view variables 261
- S1fit...S5fit 262
- Numeric-view variables 263
- NumIndep 264
- NumStart 264
- StatMode 265
- Note variables 266
- Sketch variables 266
- Extending aplets 267
- 19-2 Extending aplets 268
- Resetting an aplet 269
- Sending and receiving aplets 270
- To transmit 271
- To sort the 272
- To delete an 272
- Reference information 273
- Resetting the HP 39gs 275
- Operating details 276
- To install the main 277
- To install the 277
- Variables 278
- Function aplet variables 279
- Parametric aplet variables 280
- Polar aplet variables 281
- Sequence aplet variables 282
- Solve aplet variables 283
- Statistics aplet variables 284
- MATH menu categories 285
- Physical Constants 288
- Program commands 289
- Status messages 290
- MEMORY) 291
- Limited Warranty 293
- Regulatory information 297
- European Union 298
- Regulatory Notice 298
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