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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 408 369 412 429 418 402 424 372 406 391 404 408 417 422 408 365 379 423 412 420 382 394 399 403 373 434 406 428 398 418 383 382 395 408 402 416 424 439 382 371 386 404 381 430 394 410 382 410 394 404 Registered 342 364 330 368 327 310 347 361 364 358 Nurses 362 356 333 347 356 306 375 345 420 332 354 390 382 342 348 389 354 338 328 339

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 408 369 412 429 418 402 424 372 406 391 404 408 417 422 408 365 379 423 412 420 382 394 399 403 373 434 406 428 398 418 383 382 395 408 402 416 424 439 382 371 386 404 381 430 394 410 382 410 394 404 Registered 342 364 330 368 327 310 347 361 364 358 Nurses 362 356 333 347 356 306 375 345 420 332 354 390 382 342 348 389 354 338 328 339

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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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: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?
QUESTION 3 6.54d: Select the correct reason and conclusion Hint: See L-15 pdf and lecture, page 4-7 (Exercise 6.5) Ot p-value=0.013<0.05 -->Reject Ho . There is significant evidence that the mean population scores differ by more than 40 points O" p-value=0.026<0.05 -->Reject Ho . There is significant evidence that the mean population scores differ by more than 40 points Op-value=0.026<0.05 -->Fail to reject Ho . There is insufficient evidence that the mean population scores differ by more than 40 points ONp-value=0.013<0.05 --> Fail to reject Ho . There is insufficient evidence that the mean population scores differ by more than 40 points
Transcribed Image Text:QUESTION 3 6.54d: Select the correct reason and conclusion Hint: See L-15 pdf and lecture, page 4-7 (Exercise 6.5) Ot p-value=0.013<0.05 -->Reject Ho . There is significant evidence that the mean population scores differ by more than 40 points O" p-value=0.026<0.05 -->Reject Ho . There is significant evidence that the mean population scores differ by more than 40 points Op-value=0.026<0.05 -->Fail to reject Ho . There is insufficient evidence that the mean population scores differ by more than 40 points ONp-value=0.013<0.05 --> Fail to reject Ho . There is insufficient evidence that the mean population scores differ by more than 40 points
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