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Mean Confidence Interval Demo

Mean Confidence Interval Demo
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2020-03-10 15:18
Probability & StatisticsOptimizationGraphing
This example demonstrates how to construct confidence intervals for the mean using random sampling. It involves core concepts like confidence intervals, normal distributions, sample means, and probability area calculations. Key GeoGebra commands used include RandomNormal for generating normal distribution data, Sum and Sample for calculations, Textfield for displaying results, and Segment for interval visualization. Suitable for high school students and educators needing to understand statistical inference.

GeoGebra Commands & Parameters

  1. RandomNormal(0, 1) → A500
  2. RandomNormal(0, 1) → A499
  3. RandomNormal(0, 1) → A498
  4. RandomNormal(0, 1) → A497
  5. RandomNormal(0, 1) → A496
  6. RandomNormal(0, 1) → A495
  7. RandomNormal(0, 1) → A494
  8. RandomNormal(0, 1) → A493
  9. RandomNormal(0, 1) → A492
  10. RandomNormal(0, 1) → A491
  11. RandomNormal(0, 1) → A490
  12. RandomNormal(0, 1) → A489
  13. RandomNormal(0, 1) → A488
  14. RandomNormal(0, 1) → A487
  15. RandomNormal(0, 1) → A486
  16. RandomNormal(0, 1) → A485
  17. RandomNormal(0, 1) → A484
  18. RandomNormal(0, 1) → A483
  19. RandomNormal(0, 1) → A482
  20. RandomNormal(0, 1) → A481
  21. RandomNormal(0, 1) → A480
  22. RandomNormal(0, 1) → A479
  23. RandomNormal(0, 1) → A478
  24. RandomNormal(0, 1) → A477
  25. RandomNormal(0, 1) → A476
  26. RandomNormal(0, 1) → A475
  27. RandomNormal(0, 1) → A474
  28. RandomNormal(0, 1) → A473
  29. RandomNormal(0, 1) → A472
  30. RandomNormal(0, 1) → A471
  31. RandomNormal(0, 1) → A470
  32. RandomNormal(0, 1) → A469
  33. RandomNormal(0, 1) → A468
  34. RandomNormal(0, 1) → A467
  35. RandomNormal(0, 1) → A466
  36. RandomNormal(0, 1) → A465
  37. RandomNormal(0, 1) → A464
  38. RandomNormal(0, 1) → A463
  39. RandomNormal(0, 1) → A462
  40. RandomNormal(0, 1) → A461
  41. RandomNormal(0, 1) → A460
  42. RandomNormal(0, 1) → A459
  43. RandomNormal(0, 1) → A458
  44. RandomNormal(0, 1) → A457
  45. RandomNormal(0, 1) → A456
  46. RandomNormal(0, 1) → A455
  47. RandomNormal(0, 1) → A454
  48. RandomNormal(0, 1) → A453
  49. RandomNormal(0, 1) → A452
  50. RandomNormal(0, 1) → A451
  51. RandomNormal(0, 1) → A450
  52. RandomNormal(0, 1) → A449
  53. RandomNormal(0, 1) → A448
  54. RandomNormal(0, 1) → A447
  55. RandomNormal(0, 1) → A446
  56. RandomNormal(0, 1) → A445
  57. RandomNormal(0, 1) → A444
  58. RandomNormal(0, 1) → A443
  59. RandomNormal(0, 1) → A442
  60. RandomNormal(0, 1) → A441
  61. RandomNormal(0, 1) → A440
  62. RandomNormal(0, 1) → A439
  63. RandomNormal(0, 1) → A438
  64. RandomNormal(0, 1) → A437
  65. RandomNormal(0, 1) → A436
  66. RandomNormal(0, 1) → A435
  67. RandomNormal(0, 1) → A434
  68. RandomNormal(0, 1) → A433
  69. RandomNormal(0, 1) → A432
  70. RandomNormal(0, 1) → A431
  71. RandomNormal(0, 1) → A430
  72. RandomNormal(0, 1) → A429
  73. RandomNormal(0, 1) → A428
  74. RandomNormal(0, 1) → A427
  75. RandomNormal(0, 1) → A426
  76. RandomNormal(0, 1) → A425
  77. RandomNormal(0, 1) → A424
  78. RandomNormal(0, 1) → A423
  79. RandomNormal(0, 1) → A422
  80. RandomNormal(0, 1) → A421
  81. RandomNormal(0, 1) → A420
  82. RandomNormal(0, 1) → A419
  83. RandomNormal(0, 1) → A418
  84. RandomNormal(0, 1) → A417
  85. RandomNormal(0, 1) → A416
  86. RandomNormal(0, 1) → A415
  87. RandomNormal(0, 1) → A414
  88. RandomNormal(0, 1) → A413
  89. RandomNormal(0, 1) → A412
  90. RandomNormal(0, 1) → A411
  91. RandomNormal(0, 1) → A410
  92. RandomNormal(0, 1) → A409
  93. RandomNormal(0, 1) → A408
  94. RandomNormal(0, 1) → A407
  95. RandomNormal(0, 1) → A406
  96. RandomNormal(0, 1) → A405
  97. RandomNormal(0, 1) → A404
  98. RandomNormal(0, 1) → A403
  99. RandomNormal(0, 1) → A402
  100. RandomNormal(0, 1) → A401
  101. RandomNormal(0, 1) → A400
  102. RandomNormal(0, 1) → A399
  103. RandomNormal(0, 1) → A398
  104. RandomNormal(0, 1) → A397
  105. RandomNormal(0, 1) → A396
  106. RandomNormal(0, 1) → A395
  107. RandomNormal(0, 1) → A394
  108. RandomNormal(0, 1) → A393
  109. RandomNormal(0, 1) → A392
  110. RandomNormal(0, 1) → A391
  111. RandomNormal(0, 1) → A390
  112. RandomNormal(0, 1) → A389
  113. RandomNormal(0, 1) → A388
  114. RandomNormal(0, 1) → A387
  115. RandomNormal(0, 1) → A386
  116. RandomNormal(0, 1) → A385
  117. RandomNormal(0, 1) → A384
  118. RandomNormal(0, 1) → A383
  119. RandomNormal(0, 1) → A382
  120. RandomNormal(0, 1) → A381
  121. RandomNormal(0, 1) → A380
  122. RandomNormal(0, 1) → A379
  123. RandomNormal(0, 1) → A378
  124. RandomNormal(0, 1) → A377
  125. RandomNormal(0, 1) → A376
  126. RandomNormal(0, 1) → A375
  127. RandomNormal(0, 1) → A374
  128. RandomNormal(0, 1) → A373
  129. RandomNormal(0, 1) → A372
  130. RandomNormal(0, 1) → A371
  131. RandomNormal(0, 1) → A370
  132. RandomNormal(0, 1) → A369
  133. RandomNormal(0, 1) → A368
  134. RandomNormal(0, 1) → A367
  135. RandomNormal(0, 1) → A366
  136. RandomNormal(0, 1) → A365
  137. RandomNormal(0, 1) → A364
  138. RandomNormal(0, 1) → A363
  139. RandomNormal(0, 1) → A362
  140. RandomNormal(0, 1) → A361
  141. RandomNormal(0, 1) → A360
  142. RandomNormal(0, 1) → A359
  143. RandomNormal(0, 1) → A358
  144. RandomNormal(0, 1) → A357
  145. RandomNormal(0, 1) → A356
  146. RandomNormal(0, 1) → A355
  147. RandomNormal(0, 1) → A354
  148. RandomNormal(0, 1) → A353
  149. RandomNormal(0, 1) → A352
  150. RandomNormal(0, 1) → A351
  151. RandomNormal(0, 1) → A350
  152. RandomNormal(0, 1) → A349
  153. RandomNormal(0, 1) → A348
  154. RandomNormal(0, 1) → A347
  155. RandomNormal(0, 1) → A346
  156. RandomNormal(0, 1) → A345
  157. RandomNormal(0, 1) → A344
  158. RandomNormal(0, 1) → A343
  159. RandomNormal(0, 1) → A342
  160. RandomNormal(0, 1) → A341
  161. RandomNormal(0, 1) → A340
  162. RandomNormal(0, 1) → A339
  163. RandomNormal(0, 1) → A338
  164. RandomNormal(0, 1) → A337
  165. RandomNormal(0, 1) → A336
  166. RandomNormal(0, 1) → A335
  167. RandomNormal(0, 1) → A334
  168. RandomNormal(0, 1) → A333
  169. RandomNormal(0, 1) → A332
  170. RandomNormal(0, 1) → A331
  171. RandomNormal(0, 1) → A330
  172. RandomNormal(0, 1) → A329
  173. RandomNormal(0, 1) → A328
  174. RandomNormal(0, 1) → A327
  175. RandomNormal(0, 1) → A326
  176. RandomNormal(0, 1) → A325
  177. RandomNormal(0, 1) → A324
  178. RandomNormal(0, 1) → A323
  179. RandomNormal(0, 1) → A322
  180. RandomNormal(0, 1) → A321
  181. RandomNormal(0, 1) → A320
  182. RandomNormal(0, 1) → A319
  183. RandomNormal(0, 1) → A318
  184. RandomNormal(0, 1) → A317
  185. RandomNormal(0, 1) → A316
  186. RandomNormal(0, 1) → A315
  187. RandomNormal(0, 1) → A314
  188. RandomNormal(0, 1) → A313
  189. RandomNormal(0, 1) → A312
  190. RandomNormal(0, 1) → A311
  191. RandomNormal(0, 1) → A310
  192. RandomNormal(0, 1) → A309
  193. RandomNormal(0, 1) → A308
  194. RandomNormal(0, 1) → A307
  195. RandomNormal(0, 1) → A306
  196. RandomNormal(0, 1) → A305
  197. RandomNormal(0, 1) → A304
  198. RandomNormal(0, 1) → A303
  199. RandomNormal(0, 1) → A302
  200. RandomNormal(0, 1) → A301
  201. RandomNormal(0, 1) → A300
  202. RandomNormal(0, 1) → A299
  203. RandomNormal(0, 1) → A298
  204. RandomNormal(0, 1) → A297
  205. RandomNormal(0, 1) → A296
  206. RandomNormal(0, 1) → A295
  207. RandomNormal(0, 1) → A294
  208. RandomNormal(0, 1) → A293
  209. RandomNormal(0, 1) → A292
  210. RandomNormal(0, 1) → A291
  211. RandomNormal(0, 1) → A290
  212. RandomNormal(0, 1) → A289
  213. RandomNormal(0, 1) → A288
  214. RandomNormal(0, 1) → A287
  215. RandomNormal(0, 1) → A286
  216. RandomNormal(0, 1) → A285
  217. RandomNormal(0, 1) → A284
  218. RandomNormal(0, 1) → A283
  219. RandomNormal(0, 1) → A282
  220. RandomNormal(0, 1) → A281
  221. RandomNormal(0, 1) → A280
  222. RandomNormal(0, 1) → A279
  223. RandomNormal(0, 1) → A278
  224. RandomNormal(0, 1) → A277
  225. RandomNormal(0, 1) → A276
  226. RandomNormal(0, 1) → A275
  227. RandomNormal(0, 1) → A274
  228. RandomNormal(0, 1) → A273
  229. RandomNormal(0, 1) → A272
  230. RandomNormal(0, 1) → A271
  231. RandomNormal(0, 1) → A270
  232. RandomNormal(0, 1) → A269
  233. RandomNormal(0, 1) → A268
  234. RandomNormal(0, 1) → A267
  235. RandomNormal(0, 1) → A266
  236. RandomNormal(0, 1) → A265
  237. RandomNormal(0, 1) → A264
  238. RandomNormal(0, 1) → A263
  239. RandomNormal(0, 1) → A262
  240. RandomNormal(0, 1) → A261
  241. RandomNormal(0, 1) → A260
  242. RandomNormal(0, 1) → A259
  243. RandomNormal(0, 1) → A258
  244. RandomNormal(0, 1) → A257
  245. RandomNormal(0, 1) → A256
  246. RandomNormal(0, 1) → A255
  247. RandomNormal(0, 1) → A254
  248. RandomNormal(0, 1) → A253
  249. RandomNormal(0, 1) → A252
  250. RandomNormal(0, 1) → A251
  251. RandomNormal(0, 1) → A250
  252. RandomNormal(0, 1) → A249
  253. RandomNormal(0, 1) → A248
  254. RandomNormal(0, 1) → A247
  255. RandomNormal(0, 1) → A246
  256. RandomNormal(0, 1) → A245
  257. RandomNormal(0, 1) → A244
  258. RandomNormal(0, 1) → A243
  259. RandomNormal(0, 1) → A242
  260. RandomNormal(0, 1) → A241
  261. RandomNormal(0, 1) → A240
  262. RandomNormal(0, 1) → A239
  263. RandomNormal(0, 1) → A238
  264. RandomNormal(0, 1) → A237
  265. RandomNormal(0, 1) → A236
  266. RandomNormal(0, 1) → A235
  267. RandomNormal(0, 1) → A234
  268. RandomNormal(0, 1) → A233
  269. RandomNormal(0, 1) → A232
  270. RandomNormal(0, 1) → A231
  271. RandomNormal(0, 1) → A230
  272. RandomNormal(0, 1) → A229
  273. RandomNormal(0, 1) → A228
  274. RandomNormal(0, 1) → A227
  275. RandomNormal(0, 1) → A226
  276. RandomNormal(0, 1) → A225
  277. RandomNormal(0, 1) → A224
  278. RandomNormal(0, 1) → A223
  279. RandomNormal(0, 1) → A222
  280. RandomNormal(0, 1) → A221
  281. RandomNormal(0, 1) → A220
  282. RandomNormal(0, 1) → A219
  283. RandomNormal(0, 1) → A218
  284. RandomNormal(0, 1) → A217
  285. RandomNormal(0, 1) → A216
  286. RandomNormal(0, 1) → A215
  287. RandomNormal(0, 1) → A214
  288. RandomNormal(0, 1) → A213
  289. RandomNormal(0, 1) → A212
  290. RandomNormal(0, 1) → A211
  291. RandomNormal(0, 1) → A210
  292. RandomNormal(0, 1) → A209
  293. RandomNormal(0, 1) → A208
  294. RandomNormal(0, 1) → A207
  295. RandomNormal(0, 1) → A206
  296. RandomNormal(0, 1) → A205
  297. RandomNormal(0, 1) → A204
  298. RandomNormal(0, 1) → A203
  299. RandomNormal(0, 1) → A202
  300. RandomNormal(0, 1) → A201
  301. RandomNormal(0, 1) → A200
  302. RandomNormal(0, 1) → A199
  303. RandomNormal(0, 1) → A198
  304. RandomNormal(0, 1) → A197
  305. RandomNormal(0, 1) → A196
  306. RandomNormal(0, 1) → A195
  307. RandomNormal(0, 1) → A194
  308. RandomNormal(0, 1) → A193
  309. RandomNormal(0, 1) → A192
  310. RandomNormal(0, 1) → A191
  311. RandomNormal(0, 1) → A190
  312. RandomNormal(0, 1) → A189
  313. RandomNormal(0, 1) → A188
  314. RandomNormal(0, 1) → A187
  315. RandomNormal(0, 1) → A186
  316. RandomNormal(0, 1) → A185
  317. RandomNormal(0, 1) → A184
  318. RandomNormal(0, 1) → A183
  319. RandomNormal(0, 1) → A182
  320. RandomNormal(0, 1) → A181
  321. RandomNormal(0, 1) → A180
  322. RandomNormal(0, 1) → A179
  323. RandomNormal(0, 1) → A178
  324. RandomNormal(0, 1) → A177
  325. RandomNormal(0, 1) → A176
  326. RandomNormal(0, 1) → A175
  327. RandomNormal(0, 1) → A174
  328. RandomNormal(0, 1) → A173
  329. RandomNormal(0, 1) → A172
  330. RandomNormal(0, 1) → A171
  331. RandomNormal(0, 1) → A170
  332. RandomNormal(0, 1) → A169
  333. RandomNormal(0, 1) → A168
  334. RandomNormal(0, 1) → A167
  335. RandomNormal(0, 1) → A166
  336. RandomNormal(0, 1) → A165
  337. RandomNormal(0, 1) → A164
  338. RandomNormal(0, 1) → A163
  339. RandomNormal(0, 1) → A162
  340. RandomNormal(0, 1) → A161
  341. RandomNormal(0, 1) → A160
  342. RandomNormal(0, 1) → A159
  343. RandomNormal(0, 1) → A158
  344. RandomNormal(0, 1) → A157
  345. RandomNormal(0, 1) → A156
  346. RandomNormal(0, 1) → A155
  347. RandomNormal(0, 1) → A154
  348. RandomNormal(0, 1) → A153
  349. RandomNormal(0, 1) → A152
  350. RandomNormal(0, 1) → A151
  351. RandomNormal(0, 1) → A150
  352. RandomNormal(0, 1) → A149
  353. RandomNormal(0, 1) → A148
  354. RandomNormal(0, 1) → A147
  355. RandomNormal(0, 1) → A146
  356. RandomNormal(0, 1) → A145
  357. RandomNormal(0, 1) → A144
  358. RandomNormal(0, 1) → A143
  359. RandomNormal(0, 1) → A142
  360. RandomNormal(0, 1) → A141
  361. RandomNormal(0, 1) → A140
  362. RandomNormal(0, 1) → A139
  363. RandomNormal(0, 1) → A138
  364. RandomNormal(0, 1) → A137
  365. RandomNormal(0, 1) → A136
  366. RandomNormal(0, 1) → A135
  367. RandomNormal(0, 1) → A134
  368. RandomNormal(0, 1) → A133
  369. RandomNormal(0, 1) → A132
  370. RandomNormal(0, 1) → A131
  371. RandomNormal(0, 1) → A130
  372. RandomNormal(0, 1) → A129
  373. RandomNormal(0, 1) → A128
  374. RandomNormal(0, 1) → A127
  375. RandomNormal(0, 1) → A126
  376. RandomNormal(0, 1) → A125
  377. RandomNormal(0, 1) → A124
  378. RandomNormal(0, 1) → A123
  379. RandomNormal(0, 1) → A122
  380. RandomNormal(0, 1) → A121
  381. RandomNormal(0, 1) → A120
  382. RandomNormal(0, 1) → A119
  383. RandomNormal(0, 1) → A118
  384. RandomNormal(0, 1) → A117
  385. RandomNormal(0, 1) → A116
  386. RandomNormal(0, 1) → A115
  387. RandomNormal(0, 1) → A114
  388. RandomNormal(0, 1) → A113
  389. RandomNormal(0, 1) → A112
  390. RandomNormal(0, 1) → A111
  391. RandomNormal(0, 1) → A110
  392. RandomNormal(0, 1) → A109
  393. RandomNormal(0, 1) → A108
  394. RandomNormal(0, 1) → A107
  395. RandomNormal(0, 1) → A106
  396. RandomNormal(0, 1) → A105
  397. RandomNormal(0, 1) → A104
  398. RandomNormal(0, 1) → A103
  399. RandomNormal(0, 1) → A102
  400. RandomNormal(0, 1) → A101
  401. RandomNormal(0, 1) → A100
  402. RandomNormal(0, 1) → A99
  403. RandomNormal(0, 1) → A98
  404. RandomNormal(0, 1) → A97
  405. RandomNormal(0, 1) → A96
  406. RandomNormal(0, 1) → A95
  407. RandomNormal(0, 1) → A94
  408. RandomNormal(0, 1) → A93
  409. RandomNormal(0, 1) → A92
  410. RandomNormal(0, 1) → A91
  411. RandomNormal(0, 1) → A90
  412. RandomNormal(0, 1) → A89
  413. RandomNormal(0, 1) → A88
  414. RandomNormal(0, 1) → A87
  415. RandomNormal(0, 1) → A86
  416. RandomNormal(0, 1) → A85
  417. RandomNormal(0, 1) → A84
  418. RandomNormal(0, 1) → A83
  419. RandomNormal(0, 1) → A82
  420. RandomNormal(0, 1) → A81
  421. RandomNormal(0, 1) → A80
  422. RandomNormal(0, 1) → A79
  423. RandomNormal(0, 1) → A78
  424. RandomNormal(0, 1) → A77
  425. RandomNormal(0, 1) → A76
  426. RandomNormal(0, 1) → A75
  427. RandomNormal(0, 1) → A74
  428. RandomNormal(0, 1) → A73
  429. RandomNormal(0, 1) → A72
  430. RandomNormal(0, 1) → A71
  431. RandomNormal(0, 1) → A70
  432. RandomNormal(0, 1) → A69
  433. RandomNormal(0, 1) → A68
  434. RandomNormal(0, 1) → A67
  435. RandomNormal(0, 1) → A66
  436. RandomNormal(0, 1) → A65
  437. RandomNormal(0, 1) → A64
  438. RandomNormal(0, 1) → A63
  439. RandomNormal(0, 1) → A62
  440. RandomNormal(0, 1) → A61
  441. RandomNormal(0, 1) → A60
  442. RandomNormal(0, 1) → A59
  443. RandomNormal(0, 1) → A58
  444. RandomNormal(0, 1) → A57
  445. RandomNormal(0, 1) → A56
  446. RandomNormal(0, 1) → A55
  447. RandomNormal(0, 1) → A54
  448. RandomNormal(0, 1) → A53
  449. RandomNormal(0, 1) → A52
  450. RandomNormal(0, 1) → A51
  451. RandomNormal(0, 1) → A50
  452. RandomNormal(0, 1) → A49
  453. RandomNormal(0, 1) → A48
  454. RandomNormal(0, 1) → A47
  455. RandomNormal(0, 1) → A46
  456. RandomNormal(0, 1) → A45
  457. RandomNormal(0, 1) → A44
  458. RandomNormal(0, 1) → A43
  459. RandomNormal(0, 1) → A42
  460. RandomNormal(0, 1) → A41
  461. RandomNormal(0, 1) → A40
  462. RandomNormal(0, 1) → A39
  463. RandomNormal(0, 1) → A38
  464. RandomNormal(0, 1) → A37
  465. RandomNormal(0, 1) → A36
  466. RandomNormal(0, 1) → A35
  467. RandomNormal(0, 1) → A34
  468. RandomNormal(0, 1) → A33
  469. RandomNormal(0, 1) → A32
  470. RandomNormal(0, 1) → A31
  471. RandomNormal(0, 1) → A30
  472. RandomNormal(0, 1) → A29
  473. RandomNormal(0, 1) → A28
  474. RandomNormal(0, 1) → A27
  475. RandomNormal(0, 1) → A26
  476. RandomNormal(0, 1) → A25
  477. RandomNormal(0, 1) → A24
  478. RandomNormal(0, 1) → A23
  479. RandomNormal(0, 1) → A22
  480. RandomNormal(0, 1) → A21
  481. RandomNormal(0, 1) → A20
  482. RandomNormal(0, 1) → A19
  483. RandomNormal(0, 1) → A18
  484. RandomNormal(0, 1) → A17
  485. RandomNormal(0, 1) → A16
  486. RandomNormal(0, 1) → A15
  487. RandomNormal(0, 1) → A14
  488. RandomNormal(0, 1) → A13
  489. RandomNormal(0, 1) → A12
  490. RandomNormal(0, 1) → A11
  491. RandomNormal(0, 1) → A10
  492. RandomNormal(0, 1) → A9
  493. RandomNormal(0, 1) → A8
  494. RandomNormal(0, 1) → A7
  495. RandomNormal(0, 1) → A6
  496. RandomNormal(0, 1) → A5
  497. RandomNormal(0, 1) → A4
  498. RandomNormal(0, 1) → A3
  499. RandomNormal(0, 1) → A2
  500. RandomNormal(0, 1) → A1
  501. Sum({2, 1, n}) → a
  502. Sum((k * RandomNormal[μ, σ] / k), k, 1, n) → b
  503. Sample(L, n) → S
  504. Textfield(σ) → InputBox1
  505. Segment(A, B) → h

AI Drawing Prompt Reference

Create a graph demonstrating random samples from a normal distribution with a mean of 0 and a standard deviation of 1, connect the sample points with line segments to form intervals, and label the calculated sample mean and confidence intervals to visualize probability areas and statistical inference concepts.
The prompt above was compiled from the original drawing commands and is for reference only.