Use the data given after the questions:

Question 1.The mean self-esteem score of students who took financial accounting (TFA) is significantly different from 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) Conclusion and decision.

Question 2.For the students who did not take financial accounting (NFA), 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) (2 points) Hypothesis.

ii) (3 points) Test.

ii) (2 points) Conclusion and decision.

Question 3.The mean self-esteem score of students who took financial accounting (TFA) is 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.

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