I have a a statistics assignment that I would need some help on. 1. (15 Points) The mean happiness score of students who took financial accounting (TFA) is higher than those who did not take Financial Accounting (NFA). Using the given data, test this claim for a 5% level of significance.

a) Hypothesis.

b) Test.

c) points) Conclusion and decision. 2. For the students who took financial accounting (TFA), analyze the popular idea that "higher self-esteem can lead to higher happiness".

a) Provide the relevant results.

b) Illustrate the relationship using the appropriate chart.

c) Interpret the prediction equation with a numerical example.

d) Test for the linearity of the relationship.

i) Hypothesis.

ii)Test.

ii) Conclusion and decision.

3.The mean happiness score of students who took financial accounting (TFA) is not more than the college happiness score of 42. Using the given data, test this claim for a 5% level of significance.

a) Hypothesis.

b) Test.

c) Conclusion and decision. DATA

Self-Esteem (TFA)	Happiness (TFA)	Self-Esteem (NFA)	Happiness (NFA)
44.00	46.46	26.78	30.37
31.54	47.30	36.38	33.48
42.56	32.11	52.54	32.05
37.93	37.92	42.90	37.28
45.13	45.92	43.04	38.97
40.38	49.85	38.81	38.01
56.45	39.01	26.27	39.12
41.00	33.47	37.50	34.24
54.84	42.83	34.33	34.79
33.16	54.07	25.69	34.92
38.33	47.74	35.26	37.25
39.55	44.63	47.73	41.50
44.54	42.10	44.34	31.65
40.31	43.79	42.06	37.47
39.60	46.43	31.58	37.06
45.90	36.75	47.69	31.02
39.35	52.00	36.43	36.58
51.34	41.11	32.19	45.00
48.63	41.91	28.02	36.08
48.92	55.83	30.86	41.24
47.81	46.83	33.80	35.17
36.70	64.41	47.05	35.51
34.09	34.86	40.82	38.77
37.69	41.47	40.75	37.36
43.44	34.33	38.13	33.07
55.98	28.34	37.01	45.84
30.94	39.48	39.66	35.84
44.44	47.14	35.97	36.80
39.69	40.64	35.25	32.74
41.79	47.51	39.29	34.63
37.71	46.17	36.73	33.87
45.95	40.72	36.21	51.95
40.77	42.38	31.04	36.19
37.68	44.86	46.15	35.89
51.23	40.46	47.51	36.24
41.76	37.49	55.67	37.76
36.01	31.59	47.46	38.36
36.68	51.20	44.79	40.16
40.68	44.94	34.89	33.59
45.18	49.61	44.60	38.85
43.19	40.90	39.73	42.32
40.18	36.94	40.81	33.89
43.57	40.33	43.48	37.50
52.05	43.49	35.34	43.61
42.08	35.50	32.39	35.30
42.29	47.42	41.44	31.69
32.81	46.47	57.82	40.19
38.25	52.54	49.33	39.40
45.45	41.79	29.75	37.02
41.92	41.86	35.77	36.53
47.18	31.21	48.24	38.09
49.39	48.93	29.90	34.65
36.68	43.59	55.71	39.20
49.81	37.69	42.29	38.70
39.89	40.18	39.40	38.60
53.83	39.29	39.54	34.70
40.67	49.50	55.85	37.77
48.53	27.75	27.18	36.65
38.50	48.74	26.14	32.41
33.57	59.10	39.96	40.94
41.27	45.00	45.19	40.93
42.66	38.27	35.93	37.41
44.06	37.69	25.82	36.39
42.26	36.68	43.91	38.62
40.61	40.18	34.98	38.47
48.88	57.84	37.73	44.02
50.15	49.49	46.78	37.85
41.87	37.31	37.13	45.64
34.46	48.10	33.08	40.68
47.89	49.24	32.21	35.06
47.74	45.87	27.52	35.48
47.75	44.63	24.37	37.61
42.47	40.69	30.53	35.40
38.23	40.15	32.87	36.84
43.68	57.22	43.48	43.69
30.86	44.63	40.77	39.30
42.59	40.13	30.83	41.86
52.01	47.40	31.64	44.79
48.18	47.85	40.10	41.08
36.21	41.66	28.20	29.62
38.21	42.78	41.78	41.41
47.73	38.30	20.43	38.42
42.61	44.57	36.72	40.73
44.73	44.14	32.40	34.79
31.62	35.21	47.32	44.23
37.95	42.32	35.32	41.48
39.44	45.80	45.21	37.33
40.89	40.53	40.79	34.79
38.37	34.42	35.63	37.06
47.04	44.33	37.66	35.27
45.51	30.78	41.59	42.77
40.54	45.44	47.27	39.81
35.10	56.54	35.61	34.52
44.13	33.27	26.96	38.10
36.98	51.94	38.18	41.58
44.01	46.04	44.01	28.84
44.21	45.67	45.37	44.28
39.06	39.38	34.65	38.32
41.43	40.07	38.96	35.82
43.00	45.08	36.64	42.77
46.17	48.40	28.53	38.85
37.73	32.56	38.56	35.71
47.06	41.96	32.77	39.43
47.29	43.82	35.88	33.60
30.40	47.85	50.23	39.69
39.88	45.03	37.62	36.93
41.00	44.86	50.58	39.79
37.38	58.73	50.49	39.98
45.97	43.92	35.62	41.17
34.69	29.05	39.64	37.46
36.17	45.12	31.70	44.82
32.80	45.55	31.64	37.28
38.99	47.29	42.18	32.30
44.01	38.18	37.90	34.85
43.43	52.57	38.74	34.61
44.24	42.22	37.04	39.19
41.76	53.09	48.61	32.13
38.86	45.60	42.46	39.41
38.79	48.15	50.95	37.77
46.35	52.04	41.27	42.38
39.82	50.94	26.65	43.72
41.53	43.32	33.87	41.25
47.59	43.66	48.17	37.22
33.37	34.39	39.81	34.38
41.80	37.12	40.63	36.62
40.28	49.02	40.87	39.69
39.52	47.93	33.69	30.94
43.03	46.31	37.33	34.20
39.76	41.07	47.11	35.84
39.11	50.84	35.24	48.13
45.16	55.53	35.58	35.87
38.67	44.73	38.43	41.87
34.00	33.51	35.78	37.21
35.91	50.82	41.99	45.54
41.94	34.72	46.31	34.35
40.15	36.93	29.15	32.75
38.27	44.49	43.58	42.46
39.25	46.14	37.52	31.66
41.17	43.06	32.40	36.07
40.59	47.17	40.40	38.17
45.00	42.33	41.68	33.35
42.66	31.83	30.55	40.60
45.13	37.09	46.75	42.22
37.28	34.41	37.60	35.55
42.03	41.92	42.64	35.60
39.30	38.26	32.05	37.82
49.43	53.84	36.46	41.08
40.81	41.48	42.13	42.50
33.18	44.81	39.87	43.27
46.83	45.12	47.74	39.26
39.18	45.21	55.01	35.35
37.51	46.07	45.37	40.41
48.98	53.02	47.44	38.84
39.64	36.44	21.59	38.82
36.93	44.35	42.17	34.67
42.15	45.26	39.46	30.71
40.84	45.84	43.03	36.07
43.30	49.92	46.66	32.02
42.23	48.17	42.64	41.00
39.96	36.56	29.46	29.75
41.66	48.59	37.08	43.55
46.81	55.53	58.21	39.34
39.70	37.40	49.69	41.68
37.19	49.29	27.29	32.93
35.90	45.11	47.56	39.79
33.86	45.13	47.92	36.00
46.19	39.96	46.12	32.66
44.78	33.97	36.05	46.23
41.22	35.83	47.62	34.51
43.26	43.69	53.44	39.64
40.72	50.70	28.47	35.19
44.88	39.04	36.75	34.33
40.71	45.29	36.49	42.85
42.91	36.15	40.26	44.96
42.27	46.03	33.64	36.70
40.94	39.60	39.07	32.82
42.50	34.75	52.90	45.68
36.78	42.66	42.03	42.23
44.29	38.38	30.31	34.77
43.85	53.72	47.22	32.27
45.11	43.21	36.90	36.70
33.30	56.82	33.39	35.08
38.54	40.48	38.95	39.07
37.86	37.67	45.73	38.22
38.76	42.60	31.50	37.72
47.64	38.40	53.47	39.08
41.83	40.49	41.47	38.08
41.31	33.89	44.76	39.28
36.95	36.94	26.47	32.89
45.09	43.17	25.89	41.25
51.04	41.32	41.52	31.68
43.76	36.67	44.00	40.01
38.70	53.60	50.99	39.61
45.26	54.13	42.99	33.96
32.34	47.05	28.15	45.48
36.59	48.32	39.98	39.28
45.75	42.54	31.85	41.10
47.16	40.46	40.20	34.91
42.12	48.29	38.85	42.20
48.75	33.50	36.06	38.93