n 2016, the Graduate Management Admission Council reported that the variance in GMAT scores was 14,660. At a recent summit, a group of economics professors met to discuss the GMAT performance of undergraduate students majoring in economics. Some expected the variability in GMAT scores achieved by undergraduate economics students to be greater than the variability in GMAT scores of the general population of GMAT takers. However, others took the opposite view. The file EconGMAT contains GMAT scores for 51 randomly selected undergraduate students majoring in economics. GMAT Score 345 766 663 453 453 462 550 572 481 628 702 607 617 392 794 526 666 749 336 451 711 330 586 576 629 574 532 640 510 575 512 690 329 377 427 777 786 544 718 658 772 591 510 411 686 509 546 572 581 451 720

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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Variability in GMAT Scores.

In 2016, the Graduate Management Admission Council reported that the variance in GMAT scores was 14,660. At a recent summit, a group of economics professors met to discuss the GMAT performance of undergraduate students majoring in economics. Some expected the variability in GMAT scores achieved by undergraduate economics students to be greater than the variability in GMAT scores of the general population of GMAT takers. However, others took the opposite view. The file EconGMAT contains GMAT scores for 51 randomly selected undergraduate students majoring in economics.

GMAT Score

345

766

663

453

453

462

550

572

481

628

702

607

617

392

794

526

666

749

336

451

711

330

586

576

629

574

532

640

510

575

512

690

329

377

427

777

786

544

718

658

772

591

510

411

686

509

546

572

581

451

720

Question :

  1. Compute the mean, variance, and standard deviation of the GMAT scores for the 51 observations.
  2. Develop hypotheses to test whether the sample data indicate that the variance in GMAT scores for undergraduate students majoring in economics differs from the general population of GMAT takers.
  3. Use a = .05 to conduct the hypothesis test formulated in part (b). What is your conclusion?
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