Question
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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