To assess whether degreed nurses received a more comprehensive training than registered 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.

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 α = .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?

Degreed 4 408 418 402 424 369 372 406 408 417 422 408 365 41 379 423 382 394 399 403 373 434 406 428 383 395 408 402 416 424 439 382 382 404 381 430 4 410 382 410 urses Registered 364 330 368 342 37 3 347 361 362 356 333 347 356 306 375 345 354 390 382 342 348 3 354 338 320 382 295 3 387 284 383 311 363 365 309 327 321 352 416 380 Nurses 3 1