A psychologist wants to test if background music affects concentration during tests. 60 students are divided into two groups; one group (n=30) takes a math test with classical music playing in the background, while the other group (n=30) takes the same test in silence. The test scores are recorded, with higher scores indicating better performance. The psychologist wants to know if background music improves test scores.

The dataset can be found on Blackboard. Using the 4-step hypothesis testing, what should this psychologist conclude? Make sure to show work and go though all 4 steps.

1Group Score

2 Music 92.64052

3 Music 79.00157

4 Music 84.78738

5 Music 97.40893

6 Music 93.67558

7 Music 65.22722

8 Music 4.50088

9 Music 73.48643

10 Music 73.96781

11 Music79.10599

12 Music 76.44044

13 Music 89.54274

14 Music 82.61038

15 Music 76.21675

16 Music 179.43863

17 Music 78.33674

18 Music 89.94079

19 Music 72.94842

20 Music 78.13068

21 Music 66.45904

22 Music 49.4701

23 Music 81.53619

24 Music 83.64436

25 Music 67.57835

26 Music 97.69755

27 Music 60.45634

28 Music 75.45759

29 Music 73.12816

30 Music 90.32779

31 Music 89.69359

32 No Music 81.54947

33 No Music 83.78163

34 No Music 71.12214

35 No Music 60.19204

36 No Music 76.52088

37 No Music 81.56349

38 No Music 92.30291

39 No Music 92.0238

40 No Music 76.12673

41 No Music 76.97697

42 No Music 69.51447

43 No Music 65.79982

44 No Music 62.9373

45 No Music 99.50775

46 No Music 74.90348

47 No Music 75.61926

48 No Music 67.47205

49 No Music 87.7749

50 No Music 63.86102

51 No Music 77.8726

52 No Music 71.04533

53 No Music 83.86902

54 No Music 74.89195

55 No Music 68.19368

56 No Music 79.71818

57 No Music 84.28332

58 No Music 80.66517

59 No Music 83.02472

60 No Music 73.65678

61 No Music 76.37259