Question

Open Three Hospitals data. SETUP: It is believed that the number of injuries recorded in hospital 1 is different from the number of injuries recorded in hospital 2. Given the data your job is to confirm or disprove this assertion.

10. What test/procedure did you perform? (4 points)

• a. Regression
• b. Two sided t-test
• c. One sided t-test
• d. Confidence Interval

11. What is the statistical interpretation? (4 points)

• a. Average of data is inconsistent with the claim
• b. P-value is too large to have a conclusive answer
• c. P-value is smaller than 5% thus we are confident to say that the slope is not zero.
• d. P-value is smaller than 5% thus we are confident that the averages are different.
• e. None of these.

12. What is the conclusion? (4 points)

• a. We cannot claim that the number of injuries recorded in hospital 1 is different from the number of injuries recorded in hospital 2.
• b. We can claim that that the number of injuries recorded in hospital 1 is different from the number of injuries recorded in hospital 2.
• c. None of these.

Hospital	Accidents	Injuries
3	161	216
2	146	157
2	116	131
3	164	222
2	133	159
3	156	187
2	121	126
2	139	167
3	173	214
3	147	162
2	127	132
3	173	211
2	137	139
1	84	134
3	166	197
3	168	193
2	131	154
1	90	93
3	182	231
3	168	197
2	152	205
3	170	236
2	114	125
1	96	108
1	92	126
1	82	109
1	81	61
3	169	192
3	161	175
2	127	166
2	128	112
3	180	202
3	172	231
1	93	60
3	169	205
3	167	181
3	162	184
3	157	197
1	93	113
2	130	147
3	159	181
2	123	119
2	124	156
2	136	189
2	124	127
1	74	78
3	157	164
1	94	81
2	136	154
2	145	158
2	137	151
1	98	109
3	194	227
2	133	140
3	174	162
3	169	200
2	122	93
3	148	161
1	87	59
1	91	69
1	89	97
3	155	166
3	172	212
2	126	124
3	168	186
2	126	143
3	174	198
3	163	183
1	80	100
2	140	156
3	180	205
3	164	198
2	129	158
3	162	199
3	174	201
2	130	156
1	102	98
3	169	208
2	141	183
3	164	200
2	126	161
3	165	207
1	97	141
1	89	103
3	161	159
2	125	192
3	168	222
3	172	203
1	92	88
2	125	136
2	119	139
3	173	205
1	90	107
1	105	124
2	143	148
2	125	160
1	90	101
1	91	55
2	127	121
2	123	163
3	184	255
2	148	147
1	90	72
1	91	81
1	91	61
3	162	170
1	91	109
1	58	72
3	148	173
1	70	77
1	93	88
1	96	97
1	79	68
2	129	160
2	124	152
2	130	152
1	92	103
3	176	222
2	123	166
3	170	204
2	135	170
1	78	88
3	161	183
2	114	123
2	132	119
3	167	193
3	174	213
2	138	153
2	125	150
2	129	149
1	79	20
1	95	100
1	85	90
2	127	162
1	94	123
2	120	117
2	138	176
2	136	149
1	94	95
2	118	128
3	182	199
2	125	141
3	159	158
2	130	140
3	170	198
1	84	75
1	87	128
1	96	108
3	167	162
1	101	126
3	169	170
3	155	169
2	135	157
3	182	210
1	96	120
2	133	123
1	101	97
2	131	140
2	112	113
3	183	197
3	169	171
2	116	129
2	126	160
1	88	108
2	123	159
3	175	164
1	89	66
2	134	158
2	117	125
3	165	211
1	81	120
3	179	188
3	156	193
2	123	146
3	193	197
3	153	183
1	84	93
1	92	98
1	102	140
3	166	225
2	120	119
3	183	192
1	113	176
1	88	115
1	62	57
3	166	194
2	120	120
1	97	131
2	145	215
3	169	204
2	143	190
1	89	93
3	170	178
1	70	81
2	135	147
2	135	131
2	125	152
1	97	99
1	101	84
1	77	115
3	185	214
3	170	221
1	111	101
3	153	180
2	133	138
3	180	238
2	115	105
3	163	155
3	174	163
1	89	103
3	182	222
1	99	97
2	135	153
1	101	128
2	130	163
1	97	85
2	126	138
2	106	123
3	179	206
3	172	169
1	84	91
3	180	202
2	141	194
3	143	191
3	173	184
2	114	121
1	91	59
1	76	60
1	95	70
2	124	179
1	73	48
3	169	177
2	131	177
3	191	223
3	181	181
1	93	89
3	162	173
2	123	168
3	164	203
3	176	210
3	155	232
3	177	167
1	90	79
3	171	196
2	129	118
2	112	127
2	136	112
3	162	190
1	82	83
1	95	133
3	164	231
2	133	147
3	182	222
3	175	243
2	130	148
2	136	130
3	166	224
1	104	93
2	141	196
2	133	147
2	133	151
2	128	145
1	88	68
2	114	68
2	130	169
2	151	177
2	145	191
3	167	196
2	124	141
3	174	179
3	165	203
2	121	148
2	124	122
2	136	163
3	166	209
1	94	101
3	169	244
2	129	139
1	90	93
1	96	92
1	93	99
2	130	104
2	102	93
3	179	200
3	176	249
2	103	118
1	93	117
1	83	74
3	175	210
1	85	112
3	173	217
2	123	123
1	95	80
2	142	180
3	164	209
3	175	207
1	93	108
1	89	79
2	142	155
3	183	222

Answer 1

Exel output of test :