Test that the mean sat score

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Reference no: EM13965411

The following data give SAT mean scores for math by state for 1989 and 1999 for 20 randomly selected states (source: The World Almanac and Book of Facts 2000).

State

1989

1999

Arizona

523

525

Connecticut

498

509

Alabama

539

555

Indiana

487

498

Kansas

561

576

Oregon

509

525

Nebraska

560

571

New York

496

502

Virginia

507

499

Washington

515

526

Illinois

539

585

North Carolina

469

493

Georgia

475

482

Nevada

512

517

Ohio

520

568

New Hampshire

510

518

Assuming that the samples come from a normal distribution:

(a) Test that the mean SAT score for math in 1999 is greater than that in 1989 at α = 0.05. Assume the variances are equal.

(b) Test for the equality of the variances at α = 0.05.

Reference no: EM13965411

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