Question: Question 1 A school has implemented a new teaching method to increase the students' SAT examination score in 2020. The head of the program believes
Question 1
A school has implemented a new teaching method to increase the students' SAT examination score in 2020. The head of the program believes the students' score in 2020 is better than the previous year student who was taught using the old methods. The scores for both 2019 and 2020 are listed in file Data3. Test the head of the program's claim at the 5% significance level.
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File Data3
| Student (2020) | SAT SCORE (2020) |
| 1 | 656 |
| 2 | 641 |
| 3 | 643 |
| 4 | 616 |
| 5 | 662 |
| 6 | 645 |
| 7 | 593 |
| 8 | 634 |
| 9 | 659 |
| 10 | 595 |
| 11 | 647 |
| 12 | 627 |
| 13 | 651 |
| 14 | 569 |
| 15 | 687 |
| 16 | 618 |
| 17 | 589 |
| 18 | 653 |
| 19 | 670 |
| 20 | 592 |
| 21 | 602 |
| 22 | 649 |
| 23 | 614 |
| 24 | 596 |
| 25 | 570 |
| 26 | 639 |
| 27 | 640 |
| 28 | 609 |
| 29 | 618 |
| 30 | 638 |
| 31 | 659 |
| 32 | 591 |
| 33 | 737 |
| 34 | 618 |
| 35 | 640 |
| 36 | 640 |
| 37 | 654 |
| 38 | 638 |
| 39 | 659 |
| 40 | 570 |
| 41 | 655 |
| 42 | 631 |
| 43 | 663 |
| 44 | 657 |
| 45 | 616 |
| 46 | 647 |
| 47 | 673 |
| 48 | 634 |
| 49 | 666 |
| 50 | 612 |
| 51 | 632 |
| 52 | 626 |
| 53 | 624 |
| 54 | 642 |
| 55 | 618 |
| 56 | 637 |
| 57 | 618 |
| 58 | 577 |
| 59 | 689 |
| 60 | 625 |
| 61 | 608 |
| 62 | 606 |
| 63 | 651 |
| 64 | 682 |
| 65 | 574 |
| 66 | 642 |
| 67 | 633 |
| 68 | 621 |
| 69 | 641 |
| 70 | 633 |
| 71 | 718 |
| 72 | 660 |
| 73 | 630 |
| 74 | 638 |
| 75 | 615 |
| 76 | 595 |
| 77 | 592 |
| 78 | 618 |
| 79 | 610 |
| 80 | 651 |
| 81 | 706 |
| 82 | 646 |
| 83 | 608 |
| 84 | 610 |
| 85 | 637 |
| 86 | 665 |
| 87 | 622 |
| 88 | 600 |
| 89 | 633 |
| 90 | 608 |
| 91 | 642 |
| 92 | 633 |
| 93 | 622 |
| 94 | 628 |
| 95 | 635 |
| 96 | 594 |
| 97 | 608 |
| 98 | 650 |
| 99 | 699 |
| 100 | 634 |
| 101 | 632 |
| 102 | 719 |
| 103 | 621 |
| 104 | 638 |
| 105 | 546 |
| 106 | 638 |
| 107 | 650 |
| 108 | 600 |
| 109 | 634 |
| 110 | 651 |
| 111 | 617 |
| 112 | 622 |
| 113 | 623 |
| 114 | 689 |
| 115 | 641 |
| 116 | 685 |
| 117 | 600 |
| 118 | 634 |
| 119 | 652 |
| 120 | 653 |
| 121 | 654 |
| 122 | 701 |
| 123 | 701 |
| 124 | 618 |
| 125 | 629 |
| Student (2019) | SAT SCORE (2019) |
| 1 | 580 |
| 2 | 575 |
| 3 | 604 |
| 4 | 644 |
| 5 | 662 |
| 6 | 636 |
| 7 | 639 |
| 8 | 644 |
| 9 | 553 |
| 10 | 643 |
| 11 | 609 |
| 12 | 616 |
| 13 | 684 |
| 14 | 570 |
| 15 | 601 |
| 16 | 578 |
| 17 | 572 |
| 18 | 703 |
| 19 | 676 |
| 20 | 638 |
| 21 | 642 |
| 22 | 645 |
| 23 | 646 |
| 24 | 589 |
| 25 | 667 |
| 26 | 626 |
| 27 | 685 |
| 28 | 626 |
| 29 | 608 |
| 30 | 578 |
| 31 | 635 |
| 32 | 599 |
| 33 | 597 |
| 34 | 670 |
| 35 | 610 |
| 36 | 636 |
| 37 | 576 |
| 38 | 692 |
| 39 | 609 |
| 40 | 604 |
| 41 | 598 |
| 42 | 645 |
| 43 | 644 |
| 44 | 603 |
| 45 | 603 |
| 46 | 683 |
| 47 | 678 |
| 48 | 656 |
| 49 | 631 |
| 50 | 637 |
| 51 | 592 |
| 52 | 645 |
| 53 | 632 |
| 54 | 613 |
| 55 | 637 |
| 56 | 662 |
| 57 | 565 |
| 58 | 568 |
| 59 | 615 |
| 60 | 647 |
| 61 | 628 |
| 62 | 682 |
| 63 | 669 |
| 64 | 611 |
| 65 | 617 |
| 66 | 609 |
| 67 | 572 |
| 68 | 638 |
| 69 | 622 |
| 70 | 636 |
| 71 | 644 |
| 72 | 677 |
| 73 | 674 |
| 74 | 663 |
| 75 | 633 |
| 76 | 624 |
| 77 | 591 |
| 78 | 609 |
| 79 | 633 |
| 80 | 605 |
| 81 | 600 |
| 82 | 720 |
| 83 | 612 |
| 84 | 652 |
| 85 | 649 |
| 86 | 686 |
| 87 | 565 |
| 88 | 648 |
| 89 | 617 |
| 90 | 624 |
| 91 | 593 |
| 92 | 621 |
| 93 | 647 |
| 94 | 596 |
| 95 | 679 |
| 96 | 609 |
| 97 | 597 |
| 98 | 572 |
| 99 | 686 |
| 100 | 569 |
| 101 | 645 |
| 102 | 582 |
| 103 | 563 |
| 104 | 675 |
| 105 | 644 |
| 106 | 671 |
| 107 | 564 |
| 108 | 655 |
| 109 | 683 |
| 110 | 595 |
| 111 | 616 |
| 112 | 655 |
| 113 | 605 |
| 114 | 603 |
| 115 | 594 |
| 116 | 612 |
| 117 | 643 |
| 118 | 660 |
| 119 | 605 |
| 120 | 589 |
| 121 | 676 |
| 122 | 706 |
| 123 | 653 |
| 124 | 638 |
| 125 | 604 |
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