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Use the data from the first two columns: No Notice Notice 532 360 421 369 450 362 286 195 416 353 289 144 607 356

Use the data from the first two columns:

No Notice Notice
532 360
421 369
450 362
286 195
416 353
289 144
607 356
563 133
403 352
167 183
409 338
361 337
253 216
372 355
386 338
523 212
486 380
252 171
508 339
411 505
440 256
369 355
459 364
418 176
421 405
443 473
218 289
380 214
437 169
529 297
408 230
399 233
440 527
253 298
476 301
375 263
455 452
199 433
377 507
600 211
354 372
464 360
368 305
418 267
595 245
379 439
371 358
510 385
527 418
354 327
529 146
298 358
236 270
255 252
190 445
279 343
563 379
652 378
415 332
562 192

a. Compare the mean data usage between the "no notice" households and the "notice" households. What conclusion can you make from this comparison? b. Compare the median data usage between the "no notice" households and the "notice" households. What conclusion can you make from this comparison? c. Compare the standard deviation between the "no notice" households and the "notice" households. What conclusion can you make from this comparison? d. Of the three summaries described above, which do you think is the most meaningful here? Explain. e. If a software update containing 3GB of data is downloaded by every single household in the "no notice" sample, but their behavior does not change otherwise, what would be the new mean of their data usage? f. If each household in the "notice" sample downloaded the same 3GB software update but nothing else changed, what would be the new standard deviation of their data usage? g. Provide modified boxplots of both data sets and compare them. What conclusions can you draw from this comparison? h. Which case would be more unusual: a household in the "no notice" group using 100GB of data, or a household in the "notice" group using 400GB of data? Explain your answer.

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