The Worcester heart attack data provided below contains the systolic blood pressures of patients hospitalized for acute myocardial infarction (heart attack). This data is a protion of a larger data set compiled by Dr. Robert J. Goldberg of the Department of Cardiology at the University of Massachusetts Medical School between 1975 and 2001. The Center for Disease Control and Prevention (CDC) recommends that people maintain a systolic blood pressure of less than 140 mmHg. Systolic 154 120 147 126 134 80 194 150 211 169 157 194 149 152 138 140 125 166 197 139 123 210 166 115 144 170 118 167 113 168 108 128 148 129 140 185 151 132 149 171 199 183 93 82 182 211 121 171 187 158 113 117 123 135 119 152 194 144 111 129 161 117 122 123 111 130 149 136 126 81 230 99 162 96 139 122 191 150 120 149 154 103 111 113 158 144 195 99 114 151 204 145 95 134 145 103 179 124 110 170 201 208 206 162 143 134 100 153 159 148 172 154 124 153 120 110 140 119 125 89 109 231 179 168 134 171 162 141 143 146 154 175 141 123 121 124 177 115 137 170 122 110 161 137 140 95 100 149 138 142 119 217 130 152 88 121 197 134 149 101 98 227 130 104 83 133 142 218 145 153 129 139 146 136 83 97 131 128 200 163 129 119 120 150 130 141 169 151 189 141 223 133 144 138 122 167 76 170 170 127 151 132 188 125 131 156 103 184 148 108 124 177 147 101 134 160 163 104 129 132 137 142 138 114 133 166 179 163 94 181 177 128 125 127 113 150 61 169 213 163 132 161 122 145 195 127 156 114 161 121 118 187 125 193 140 171 112 143 128 169 135 163 162 118 96 176 160 149 81 126 125 172 128 210 162 116 193 131 190 118 201 165 130 157 160 76 129 135 193 142 177 106 108 157 101 111 117 168 171 208 142 130 130 154 198 139 138 176 140 89 126 166 205 153 172 171 125 113 114 113 120 121 99 122 128 199 153 198 88 125 130 141 161 153 127 179 137 189 213 123 99 140 167 207 96 99 83 125 160 153 166 92 77 104 110 98 148 157 201 119 163 205 93 124 182 148 155 155 243 141 147 114 100 114 90 128 130 164 209 167 114 137 158 217 118 179 151 119 128 139 140 145 198 139 198 118 82 54 103 239 152 105 169 139 175 129 144 161 197 156 161 153 127 149 125 222 154 162 127 187 206 118 139 144 172 172 150 138 172 165 200 179 140 165 163 131 147 132 157 136 111 151 149 118 177 135 173 167 152 177 138 193 142 99 150 145 103 162 160 96 105 161 139 178 153 148 149 196 140 168 155 132 126 128 146 149 111 139 136 110 125 136 136 128 163 112 120 152 140 161 168 195 159 159 213 111 207 119 109 157

The Worcester heart attack data provided below contains the systolic blood pressures of patients hospitalized for acute myocardial infarction (heart attack). This data is a protion of a larger data set compiled by Dr. Robert J. Goldberg of the Department of Cardiology at the University of Massachusetts Medical School between 1975 and 2001. The Center for Disease Control and Prevention (CDC) recommends that people maintain a systolic blood pressure of less than 140 mmHg. Systolic 154 120 147 126 134 80 194 150 211 169 157 194 149 152 138 140 125 166 197 139 123 210 166 115 144 170 118 167 113 168 108 128 148 129 140 185 151 132 149 171 199 183 93 82 182 211 121 171 187 158 113 117 123 135 119 152 194 144 111 129 161 117 122 123 111 130 149 136 126 81 230 99 162 96 139 122 191 150 120 149 154 103 111 113 158 144 195 99 114 151 204 145 95 134 145 103 179 124 110 170 201 208 206 162 143 134 100 153 159 148 172 154 124 153 120 110 140 119 125 89 109 231 179 168 134 171 162 141 143 146 154 175 141 123 121 124 177 115 137 170 122 110 161 137 140 95 100 149 138 142 119 217 130 152 88 121 197 134 149 101 98 227 130 104 83 133 142 218 145 153 129 139 146 136 83 97 131 128 200 163 129 119 120 150 130 141 169 151 189 141 223 133 144 138 122 167 76 170 170 127 151 132 188 125 131 156 103 184 148 108 124 177 147 101 134 160 163 104 129 132 137 142 138 114 133 166 179 163 94 181 177 128 125 127 113 150 61 169 213 163 132 161 122 145 195 127 156 114 161 121 118 187 125 193 140 171 112 143 128 169 135 163 162 118 96 176 160 149 81 126 125 172 128 210 162 116 193 131 190 118 201 165 130 157 160 76 129 135 193 142 177 106 108 157 101 111 117 168 171 208 142 130 130 154 198 139 138 176 140 89 126 166 205 153 172 171 125 113 114 113 120 121 99 122 128 199 153 198 88 125 130 141 161 153 127 179 137 189 213 123 99 140 167 207 96 99 83 125 160 153 166 92 77 104 110 98 148 157 201 119 163 205 93 124 182 148 155 155 243 141 147 114 100 114 90 128 130 164 209 167 114 137 158 217 118 179 151 119 128 139 140 145 198 139 198 118 82 54 103 239 152 105 169 139 175 129 144 161 197 156 161 153 127 149 125 222 154 162 127 187 206 118 139 144 172 172 150 138 172 165 200 179 140 165 163 131 147 132 157 136 111 151 149 118 177 135 173 167 152 177 138 193 142 99 150 145 103 162 160 96 105 161 139 178 153 148 149 196 140 168 155 132 126 128 146 149 111 139 136 110 125 136 136 128 163 112 120 152 140 161 168 195 159 159 213 111 207 119 109 157

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 22EQ

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Background: The Worcester heart attack data provided below contains the systolic blood pressures of patients hospitalized for acute myocardial infarction (heart attack). This data is a protion of a larger data set compiled by Dr. Robert J. Goldberg of the Department of Cardiology at the University of Massachusetts Medical School between 1975 and 2001. The Center for Disease Control and Prevention (CDC) recommends that people maintain a systolic blood pressure of less than 140 mmHg.

Systolic
154
120
147
126
134
80
194
150
211
169
157
194
149
152
138
140
125
166
197
139
123
210
166
115
144
170
118
167
113
168
108
128
148
129
140
185
151
132
149
171
199
183
93
82
182
211
121
171
187
158
113
117
123
135
119
152
194
144
111
129
161
117
122
123
111
130
149
136
126
81
230
99
162
96
139
122
191
150
120
149
154
103
111
113
158
144
195
99
114
151
204
145
95
134
145
103
179
124
110
170
201
208
206
162
143
134
100
153
159
148
172
154
124
153
120
110
140
119
125
89
109
231
179
168
134
171
162
141
143
146
154
175
141
123
121
124
177
115
137
170
122
110
161
137
140
95
100
149
138
142
119
217
130
152
88
121
197
134
149
101
98
227
130
104
83
133
142
218
145
153
129
139
146
136
83
97
131
128
200
163
129
119
120
150
130
141
169
151
189
141
223
133
144
138
122
167
76
170
170
127
151
132
188
125
131
156
103
184
148
108
124
177
147
101
134
160
163
104
129
132
137
142
138
114
133
166
179
163
94
181
177
128
125
127
113
150
61
169
213
163
132
161
122
145
195
127
156
114
161
121
118
187
125
193
140
171
112
143
128
169
135
163
162
118
96
176
160
149
81
126
125
172
128
210
162
116
193
131
190
118
201
165
130
157
160
76
129
135
193
142
177
106
108
157
101
111
117
168
171
208
142
130
130
154
198
139
138
176
140
89
126
166
205
153
172
171
125
113
114
113
120
121
99
122
128
199
153
198
88
125
130
141
161
153
127
179
137
189
213
123
99
140
167
207
96
99
83
125
160
153
166
92
77
104
110
98
148
157
201
119
163
205
93
124
182
148
155
155
243
141
147
114
100
114
90
128
130
164
209
167
114
137
158
217
118
179
151
119
128
139
140
145
198
139
198
118
82
54
103
239
152
105
169
139
175
129
144
161
197
156
161
153
127
149
125
222
154
162
127
187
206
118
139
144
172
172
150
138
172
165
200
179
140
165
163
131
147
132
157
136
111
151
149
118
177
135
173
167
152
177
138
193
142
99
150
145
103
162
160
96
105
161
139
178
153
148
149
196
140
168
155
132
126
128
146
149
111
139
136
110
125
136
136
128
163
112
120
152
140
161
168
195
159
159
213
111
207
119
109
157

Then perform an appropriate significance test to determine whether or not the systolic blood pressure of patients in this study is more than 140 mmHg.

1.State the null and alternative hypotheses.

2.Compute the test statistic and document how it was computed in the space provided below. Round all of the numbers used in the calculation to 2 decimal places.

3.Compute the p-value. Provide the name of the probability distribution used and the values of the parameters you entered into the calculator and report the p-value rounded to 4 decimal places

4.Interpret the results of the test. Is there statistically evidence that the average systolic blood pressure of the patients in the study was above 140 mmHg? Does this result have any practical significance?

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