Determine whether or not students in the two 4th grade classes have the same average scores in math, and whether or not students in the two 4th grade classes have the same average score in language arts. For both tests, use α = 0.05.

MATLAB: An Introduction with Applications
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Student 4th Grade Teacher 4th Grade Math 4th Grade LA 5th Grade Teacher 5th Grade Math 5th Grade LA
1 Anderson 580 620 Crenshaw 560 615
2 Anderson 520 600 Crenshaw 510 645
3 Anderson 595 570 Crenshaw 600 575
4 Anderson 720 650 Crenshaw 730 670
5 Anderson 570 620 Crenshaw 570 640
6 Anderson 660 750 Crenshaw 650 780
7 Anderson 545 480 Crenshaw 540 520
8 Anderson 500 550 Crenshaw 510 590
9 Anderson 680 640 Crenshaw 650 670
10 Anderson 580 630 Davis 600 630
11 Anderson 610 580 Davis 600 585
12 Anderson 780 720 Davis 780 700
13 Anderson 540 620 Davis 570 610
14 Anderson 480 630 Davis 520 650
15 Anderson 530 580 Davis 560 580
16 Anderson 640 625 Davis 630 620
17 Anderson 600 680 Davis 620 630
18 Baker 610 670 Crenshaw 600 700
19 Baker 510 580 Crenshaw 500 610
20 Baker 570 570 Crenshaw 550 630
21 Baker 525 600 Crenshaw 550 590
22 Baker 570 610 Crenshaw 557 650
23 Baker 590 600 Crenshaw 570 670
24 Baker 560 700 Crenshaw 525 690
25 Baker 530 580 Crenshaw 520 630
26 Baker 690 740 Crenshaw 680 780
27 Baker 600 610 Crenshaw 600 640
28 Baker 520 480 Davis 550 500
29 Baker 575 610 Davis 570 610
30 Baker 590 570 Davis 580 590
31 Baker 620 690 Davis 650 680
32 Baker 500 540 Davis 520 525
33 Baker 590 510 Davis 610 515
34 Baker 670 590 Davis 660 600
35 Baker 510 550 Davis 525 560
36 Baker 580 575 Davis 590 570
  1. Determine whether or not students in the two 4th grade classes have the same average scores in math, and whether or not students in the two 4th grade classes have the same average score in language arts. For both tests, use α = 0.05.
  2. It has been observed that Crenshaw’s students don’t seem to do in well in math. To investigate that, for the 19 students who had Crenshaw in 5th grade, determine whether or not their math scores decreased from 4th to 5th Use α = 0.05. Do the same for the 17 students who had Davis in 5th grade. What can you conclude from these tests?
  3. On the other hand, Crenshaw’s students seem to excel in language arts. To investigate that, for the 19 students who had Crenshaw in 5th grade, determine whether or not their language arts scores increased from 4th to 5th Use α = 0.05. Do the same for the 17 students who had Davis in 5th grade. What can you conclude from these tests?
  4. On the basis of questions 4 through 6, what would you, as an administrator, recommend regarding Crenshaw and Davis?
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