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
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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