How many states reported an average math score higher than 600?
Added by David E.
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Scores on a test has a mean of 584 and a standard deviation of 151, assume the scores are normally distributed. What percentage of students taking the exam scored above 600?
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State Percent Taking Critical Reading Math Writing Combined Alabama 7% 557 552 549 1658 Alaska 46% 520 516 492 1528 Arizona 26% 516 521 497 1534 Arkansas 5% 572 572 556 1700 California 49% 500 513 498 1511 Colorado 20% 568 575 555 1698 Connecticut 83% 509 513 512 1534 Delaware 71% 495 498 484 1477 District of Columbia 79% 466 451 461 1378 Florida 59% 497 498 480 1475 Georgia 71% 490 491 479 1460 Hawaii 58% 479 502 469 1450 Idaho 18% 541 540 520 1601 Illinois 6% 588 604 583 1775 Indiana 63% 496 507 480 1483 Iowa 3% 610 615 588 1813 Kansas 7% 581 589 564 1734 Kentucky 7% 573 573 561 1707 Louisiana 7% 563 558 555 1676
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Based upon extensive data from a national high school educational testing program, the mean score of national test scores for mathematics was found to be 614 and the standard deviation of national test scores for mathematics was found to be 192 points. What is the probability that a random sample of 256 students will have a mean score of more than 628? Less than 600?
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