Med. 6.54 To assess whether degreed nurses received a more comprehensive training than reg- istered nurses, a study was designed to compare the two groups. The state nursing licensing board randomly selected 50 nurses from each group for evaluation. They were given the state licensing board examination, and their scores are given in the following table. Degreed Nurses 429 408 418 402 424 369 372 406 391 404 365 408 403 408 417 422 412 379 423 412 420 382 394 399 373 434 406 428 398 418 402 416 394 383 395 408 424 439 382 371 386 382 404 381 430 410 382 410 394 404 Registered 364 330 368 342 327 310 347 361 364 358 Nurses 362 356 333 347 356 306 375 345 420 332 354 390 382 342 348 389 354 338 328 339 320 382 295 341 387 284 383 311 387 397 363 365 309 327 321 352 416 380 341 330 a. Can the licensing board conclude that the mean score of nurses who receive a BS in nursing is higher than the mean score of registered nurses? Use a = .05. b. Report the p-value for your test. c. Estimate the size of the difference in the mean scores of the two groups of nurses using a 95% confidence interval.
Med. 6.54 To assess whether degreed nurses received a more comprehensive training than reg- istered nurses, a study was designed to compare the two groups. The state nursing licensing board randomly selected 50 nurses from each group for evaluation. They were given the state licensing board examination, and their scores are given in the following table. Degreed Nurses 429 408 418 402 424 369 372 406 391 404 365 408 403 408 417 422 412 379 423 412 420 382 394 399 373 434 406 428 398 418 402 416 394 383 395 408 424 439 382 371 386 382 404 381 430 410 382 410 394 404 Registered 364 330 368 342 327 310 347 361 364 358 Nurses 362 356 333 347 356 306 375 345 420 332 354 390 382 342 348 389 354 338 328 339 320 382 295 341 387 284 383 311 387 397 363 365 309 327 321 352 416 380 341 330 a. Can the licensing board conclude that the mean score of nurses who receive a BS in nursing is higher than the mean score of registered nurses? Use a = .05. b. Report the p-value for your test. c. Estimate the size of the difference in the mean scores of the two groups of nurses using a 95% confidence interval.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Transcribed Image Text:Med.
6.54 To assess whether degreed nurses received a more comprehensive training than reg-
istered nurses, a study was designed to compare the two groups. The state nursing licensing
board randomly selected 50 nurses from each group for evaluation. They were given the state
licensing board examination, and their scores are given in the following table.
Degreed
429
408
418
402
424
369
372
406
391
404
Nurses
408
417
422
408
365
412
379
423
412
420
382
394
399
403
373
434
406
428
398
418
383
395
408
402
416
424
439
382
371
386
382
404
381
430
394
410
382
410
394
404
Registered
364
330
368
342
327
310
347
361
364
358
Nurses
362
356
333
347
356
306
375
345
420
332
354
390
382
342
348
389
354
338
328
339
320
382
295
341
387
284
383
311
387
397
363
365
309
327
321
352
416
380
341
330
a. Can the licensing board conclude that the mean score of nurses who receive a BS
in nursing is higher than the mean score of registered nurses? Use a = .05.
b. Report the p-value for your test.
c. Estimate the size of the difference in the mean scores of the two groups of nurses
using a 95% confidence interval.
d. The mean test scores are considered to have a meaningful difference only if they
differ by more than 40 points. Is the observed difference in the mean scores a
meaningful one?
Transcribed Image Text:6.54ab: Select the correct reason and conclusion
Hint: See L-15 pdf and lecture, page 4-7 (Exercise 6.5)
p-value =0.000<0.05=a -> Reject Ho. There is NOT significant
evidence that the mean score of nurses with a BS in nursing is
higher than that of registered nurses
p-value =0.000<0.05=a --> Reject Ho. There is significant evidence
that the mean score of nurses with a BS in nursing is higher than
that of registered nurses
Op-value =0.000<0.05=a --> Fail to Reject Ho. There is significant
evidence that the mean score of nurses with a BS in nursing is
higher than that of registered nurses
O"p-value =0.000<0.05=a --> Fail to Reject Ho. There is NOT
significant evidence that the mean score of nurses with a BS in
nursing is higher than that of registered nurses
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