The data below shows the SAT scores of 30 students at Martin Luther King High School in Florida. 1561 1554 1536 1531 1523 1518 1515 1511 1506 1500 1499 1493 1490 1489 1485 1482 1482 1479 1477 1466 1453 1448 1439 1432 1423 1421 1413 1407 1394 1388   Test the hypothesis that mean is less than 1500. Use the 1% level of significance.  Would your conclusion change at the 10% level of significance? Show all steps .

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