(Question: Is the combined scores data approximately normal? Yes or no?) Data: Race Position Oral exam results Written exam results Combined results B Lieutenant 45.83 46 45.932 B Lieutenant 52.92 49 50.568 B Captain 54.76 49 51.304 H Lieutenant 48.33 58 54.132 B Lieutenant 52.08 56 54.432 H Lieutenant 40.83 64 54.732 B Captain 60 53 55.8 W Captain 53.81 58 56.324 B Lieutenant 58.75 55 56.5 W Lieutenant 54.58 58 56.632 B Lieutenant 55.83 58 57.132 W Lieutenant 45.42 65 57.168 H Lieutenant 44.17 66 57.268 H Captain 42.86 67 57.344 W Lieutenant 44.58 66 57.432 W Lieutenant 51.25 62 57.7 W Lieutenant 57.92 58 57.968 B Captain 70.48 50 58.192 B Lieutenant 60.83 58 59.132 H Lieutenant 46.25 68 59.3 H Captain 57.14 61 59.456 W Lieutenant 60 60 60 W Lieutenant 49.58 67 60.032 B Lieutenant 51.25 66 60.1 B Lieutenant 55 64 60.4 B Captain 67.62 56 60.648 H Lieutenant 51.25 67 60.7 H Lieutenant 42.5 73 60.8 W Captain 48.57 69 60.828 B Lieutenant 56.25 64 60.9 B Lieutenant 56.67 64 61.068 W Lieutenant 56.25 66 62.1 H Captain 58.57 65 62.428 H Lieutenant 50.42 71 62.768 W Lieutenant 71.67 57 62.868 W Captain 55.24 68 62.896 H Lieutenant 51.67 71 63.268 B Lieutenant 69.17 60 63.668 H Lieutenant 57.5 70 65 W Lieutenant 50.42 75 65.168 B Lieutenant 66.25 65 65.5 W Lieutenant 55 73 65.8 H Captain 67.14 65 65.856 H Lieutenant 56.25 73 66.3 W Lieutenant 79.17 59 67.068 B Captain 52.38 77 67.152 W Lieutenant 64.58 69 67.232 B Lieutenant 70.83 65 67.332 W Captain 57.14 75 67.856 W Lieutenant 51.67 79 68.068 H Lieutenant 62.5 72 68.2 W Lieutenant 51.25 80 68.5 W Lieutenant 73.75 66 69.1 W Lieutenant 58.75 76 69.1 H Lieutenant 70.83 68 69.132 H Captain 60.48 75 69.192 W Captain 59.05 76 69.22 W Captain 71.43 68 69.372 W Captain 71.43 68 69.372 W Lieutenant 64.58 73 69.632 W Captain 78.57 64 69.828 W Captain 62.38 75 69.952 W Lieutenant 71.67 69 70.068 W Lieutenant 73.75 68 70.3 B Captain 70.95 70 70.38 W Lieutenant 77.5 66 70.6 H Lieutenant 53.75 82 70.7 W Lieutenant 65.83 74 70.732 W Lieutenant 58.33 79 70.732 H Lieutenant 69.17 72 70.868 H Lieutenant 55 82 71.2 W Captain 56.67 81 71.268 W Captain 82.38 64 71.352 B Captain 68.57 74 71.828 W Lieutenant 73.33 71 71.932 W Lieutenant 72.5 72 72.2 B Lieutenant 92.08 59 72.232 W Lieutenant 66.67 76 72.268 B Lieutenant 70.83 74 72.732 W Lieutenant 78.33 70 73.332 W Captain 70 76 73.6 W Captain 73.33 74 73.732 B Lieutenant 65.83 80 74.332 W Lieutenant 87.5 66 74.6 B Captain 82.38 70 74.952 W Captain 76.67 74 75.068 W Lieutenant 63.33 83 75.132 W Captain 73.81 77 75.724 W Lieutenant 74.17 77 75.868 B Lieutenant 80.42 73 75.968 H Captain 79.05 74 76.02 B Lieutenant 61.25 86 76.1 W Captain 80 74 76.4 W Captain 87.62 69 76.448 B Lieutenant 77.5 76 76.6 W Lieutenant 58.75 89 76.9 W Captain 84.29 72 76.916 W Lieutenant 73.75 81 78.1 W Captain 73.81 81 78.124 H Captain 70 84 78.4 W Lieutenant 69.58 86 79.432 W Captain 76.19 82 79.676 H Captain 76.19 82 79.676 W Captain 76.19 84 80.876 W Captain 88.57 76 81.028 W Lieutenant 68.33 91 81.932 W Lieutenant 63.75 95 82.5 W Lieutenant 80.83 84 82.732 W Lieutenant 73.33 89 82.732 W Lieutenant 73.75 91 84.1 W Lieutenant 80 87 84.2 W Lieutenant 85 84 84.4 W Captain 82.38 87 85.152 W Lieutenant 77.5 91 85.6 W Lieutenant 87.5 87 87.2 W Captain 80 95 89 W Lieutenant 88.75 91 90.1 W Captain 89.52 95 92.808

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(Question: Is the combined scores data approximately normal? Yesor no?)
Data:
Race Position Oral exam results Written exam results Combined results
B Lieutenant 45.83 46 45.932
B Lieutenant 52.92 49 50.568
B Captain 54.76 49 51.304
H Lieutenant 48.33 58 54.132
B Lieutenant 52.08 56 54.432
H Lieutenant 40.83 64 54.732
B Captain 60 53 55.8
W Captain 53.81 58 56.324
B Lieutenant 58.75 55 56.5
W Lieutenant 54.58 58 56.632
B Lieutenant 55.83 58 57.132
W Lieutenant 45.42 65 57.168
H Lieutenant 44.17 66 57.268
H Captain 42.86 67 57.344
W Lieutenant 44.58 66 57.432
W Lieutenant 51.25 62 57.7
W Lieutenant 57.92 58 57.968
B Captain 70.48 50 58.192
B Lieutenant 60.83 58 59.132
H Lieutenant 46.25 68 59.3
H Captain 57.14 61 59.456
W Lieutenant 60 60 60
W Lieutenant 49.58 67 60.032
B Lieutenant 51.25 66 60.1
B Lieutenant 55 64 60.4
B Captain 67.62 56 60.648
H Lieutenant 51.25 67 60.7
H Lieutenant 42.5 73 60.8
W Captain 48.57 69 60.828
B Lieutenant 56.25 64 60.9
B Lieutenant 56.67 64 61.068
W Lieutenant 56.25 66 62.1
H Captain 58.57 65 62.428
H Lieutenant 50.42 71 62.768
W Lieutenant 71.67 57 62.868
W Captain 55.24 68 62.896
H Lieutenant 51.67 71 63.268
B Lieutenant 69.17 60 63.668
H Lieutenant 57.5 70 65
W Lieutenant 50.42 75 65.168
B Lieutenant 66.25 65 65.5
W Lieutenant 55 73 65.8
H Captain 67.14 65 65.856
H Lieutenant 56.25 73 66.3
W Lieutenant 79.17 59 67.068
B Captain 52.38 77 67.152
W Lieutenant 64.58 69 67.232
B Lieutenant 70.83 65 67.332
W Captain 57.14 75 67.856
W Lieutenant 51.67 79 68.068
H Lieutenant 62.5 72 68.2
W Lieutenant 51.25 80 68.5
W Lieutenant 73.75 66 69.1
W Lieutenant 58.75 76 69.1
H Lieutenant 70.83 68 69.132
H Captain 60.48 75 69.192
W Captain 59.05 76 69.22
W Captain 71.43 68 69.372
W Captain 71.43 68 69.372
W Lieutenant 64.58 73 69.632
W Captain 78.57 64 69.828
W Captain 62.38 75 69.952
W Lieutenant 71.67 69 70.068
W Lieutenant 73.75 68 70.3
B Captain 70.95 70 70.38
W Lieutenant 77.5 66 70.6
H Lieutenant 53.75 82 70.7
W Lieutenant 65.83 74 70.732
W Lieutenant 58.33 79 70.732
H Lieutenant 69.17 72 70.868
H Lieutenant 55 82 71.2
W Captain 56.67 81 71.268
W Captain 82.38 64 71.352
B Captain 68.57 74 71.828
W Lieutenant 73.33 71 71.932
W Lieutenant 72.5 72 72.2
B Lieutenant 92.08 59 72.232
W Lieutenant 66.67 76 72.268
B Lieutenant 70.83 74 72.732
W Lieutenant 78.33 70 73.332
W Captain 70 76 73.6
W Captain 73.33 74 73.732
B Lieutenant 65.83 80 74.332
W Lieutenant 87.5 66 74.6
B Captain 82.38 70 74.952
W Captain 76.67 74 75.068
W Lieutenant 63.33 83 75.132
W Captain 73.81 77 75.724
W Lieutenant 74.17 77 75.868
B Lieutenant 80.42 73 75.968
H Captain 79.05 74 76.02
B Lieutenant 61.25 86 76.1
W Captain 80 74 76.4
W Captain 87.62 69 76.448
B Lieutenant 77.5 76 76.6
W Lieutenant 58.75 89 76.9
W Captain 84.29 72 76.916
W Lieutenant 73.75 81 78.1
W Captain 73.81 81 78.124
H Captain 70 84 78.4
W Lieutenant 69.58 86 79.432
W Captain 76.19 82 79.676
H Captain 76.19 82 79.676
W Captain 76.19 84 80.876
W Captain 88.57 76 81.028
W Lieutenant 68.33 91 81.932
W Lieutenant 63.75 95 82.5
W Lieutenant 80.83 84 82.732
W Lieutenant 73.33 89 82.732
W Lieutenant 73.75 91 84.1
W Lieutenant 80 87 84.2
W Lieutenant 85 84 84.4
W Captain 82.38 87 85.152
W Lieutenant 77.5 91 85.6
W Lieutenant 87.5 87 87.2
W Captain 80 95 89
W Lieutenant 88.75 91 90.1
W Captain 89.52 95 92.808

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Yes The combined scores data is approximately normalbecause the See Answer

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Race	Position	Oral exam results	Written exam results	Combined results
B	Lieutenant	45.83	46	45.932
B	Lieutenant	52.92	49	50.568
B	Captain	54.76	49	51.304
H	Lieutenant	48.33	58	54.132
B	Lieutenant	52.08	56	54.432
H	Lieutenant	40.83	64	54.732
B	Captain	60	53	55.8
W	Captain	53.81	58	56.324
B	Lieutenant	58.75	55	56.5
W	Lieutenant	54.58	58	56.632
B	Lieutenant	55.83	58	57.132
W	Lieutenant	45.42	65	57.168
H	Lieutenant	44.17	66	57.268
H	Captain	42.86	67	57.344
W	Lieutenant	44.58	66	57.432
W	Lieutenant	51.25	62	57.7
W	Lieutenant	57.92	58	57.968
B	Captain	70.48	50	58.192
B	Lieutenant	60.83	58	59.132
H	Lieutenant	46.25	68	59.3
H	Captain	57.14	61	59.456
W	Lieutenant	60	60	60
W	Lieutenant	49.58	67	60.032
B	Lieutenant	51.25	66	60.1
B	Lieutenant	55	64	60.4
B	Captain	67.62	56	60.648
H	Lieutenant	51.25	67	60.7
H	Lieutenant	42.5	73	60.8
W	Captain	48.57	69	60.828
B	Lieutenant	56.25	64	60.9
B	Lieutenant	56.67	64	61.068
W	Lieutenant	56.25	66	62.1
H	Captain	58.57	65	62.428
H	Lieutenant	50.42	71	62.768
W	Lieutenant	71.67	57	62.868
W	Captain	55.24	68	62.896
H	Lieutenant	51.67	71	63.268
B	Lieutenant	69.17	60	63.668
H	Lieutenant	57.5	70	65
W	Lieutenant	50.42	75	65.168
B	Lieutenant	66.25	65	65.5
W	Lieutenant	55	73	65.8
H	Captain	67.14	65	65.856
H	Lieutenant	56.25	73	66.3
W	Lieutenant	79.17	59	67.068
B	Captain	52.38	77	67.152
W	Lieutenant	64.58	69	67.232
B	Lieutenant	70.83	65	67.332
W	Captain	57.14	75	67.856
W	Lieutenant	51.67	79	68.068
H	Lieutenant	62.5	72	68.2
W	Lieutenant	51.25	80	68.5
W	Lieutenant	73.75	66	69.1
W	Lieutenant	58.75	76	69.1
H	Lieutenant	70.83	68	69.132
H	Captain	60.48	75	69.192
W	Captain	59.05	76	69.22
W	Captain	71.43	68	69.372
W	Captain	71.43	68	69.372
W	Lieutenant	64.58	73	69.632
W	Captain	78.57	64	69.828
W	Captain	62.38	75	69.952
W	Lieutenant	71.67	69	70.068
W	Lieutenant	73.75	68	70.3
B	Captain	70.95	70	70.38
W	Lieutenant	77.5	66	70.6
H	Lieutenant	53.75	82	70.7
W	Lieutenant	65.83	74	70.732
W	Lieutenant	58.33	79	70.732
H	Lieutenant	69.17	72	70.868
H	Lieutenant	55	82	71.2
W	Captain	56.67	81	71.268
W	Captain	82.38	64	71.352
B	Captain	68.57	74	71.828
W	Lieutenant	73.33	71	71.932
W	Lieutenant	72.5	72	72.2
B	Lieutenant	92.08	59	72.232
W	Lieutenant	66.67	76	72.268
B	Lieutenant	70.83	74	72.732
W	Lieutenant	78.33	70	73.332
W	Captain	70	76	73.6
W	Captain	73.33	74	73.732
B	Lieutenant	65.83	80	74.332
W	Lieutenant	87.5	66	74.6
B	Captain	82.38	70	74.952
W	Captain	76.67	74	75.068
W	Lieutenant	63.33	83	75.132
W	Captain	73.81	77	75.724
W	Lieutenant	74.17	77	75.868
B	Lieutenant	80.42	73	75.968
H	Captain	79.05	74	76.02
B	Lieutenant	61.25	86	76.1
W	Captain	80	74	76.4
W	Captain	87.62	69	76.448
B	Lieutenant	77.5	76	76.6
W	Lieutenant	58.75	89	76.9
W	Captain	84.29	72	76.916
W	Lieutenant	73.75	81	78.1
W	Captain	73.81	81	78.124
H	Captain	70	84	78.4
W	Lieutenant	69.58	86	79.432
W	Captain	76.19	82	79.676
H	Captain	76.19	82	79.676
W	Captain	76.19	84	80.876
W	Captain	88.57	76	81.028
W	Lieutenant	68.33	91	81.932
W	Lieutenant	63.75	95	82.5
W	Lieutenant	80.83	84	82.732
W	Lieutenant	73.33	89	82.732
W	Lieutenant	73.75	91	84.1
W	Lieutenant	80	87	84.2
W	Lieutenant	85	84	84.4
W	Captain	82.38	87	85.152
W	Lieutenant	77.5	91	85.6
W	Lieutenant	87.5	87	87.2
W	Captain	80	95	89
W	Lieutenant	88.75	91	90.1
W	Captain	89.52	95	92.808