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) 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 0 05 Assume the variances are equal (b) Test for the equality of the variances at 0 05 State 1989 523 498 539 487 561 509 1999 525 509 Arizona Connecticut Alabama Indiana Kansas 498 576 525 571 Nebraska New York 496 499 526 585 493 482 517 568 518 515 539 Washington linois North Carolina Georgia Nevada Ohio New Hampshire 475 512 520 510

Question: 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

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).

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 Î± = 0.05. Assume the variances are equal.
(b) Test for the equality of the variances at Î± = 0.05.

State 1989 523 498 539 487 561 509 1999 525 509 Arizona Connecticut Alabama Indiana Kansas 498 576 525 571 Nebraska New York 496 499 526 585 493 482 517 568 518 515 539 Washington linois North Carolina Georgia Nevada Ohio New Hampshire 475 512 520 510

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