1. The weight and systolic blood pressure of 26 randomly selected males in the age group 25-30 are shown in the following table. Assume the weight and blood pressure are jointly normally distributed. Subject 1 2 3 4 5 6 69 7 8 901 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 Weight, Systolic BP, X Y 165 167 180 155 212 175 190 210 200 149 158 169 170 172 159 168 174 183 215 195 180 143 240 235 192 130 133 150 128 151 146 150 140 148 125 133 135 150 153 128 132 149 158 150 163 156 124 170 165 160 (a) Plot the data using Excel Office (Choose Scatter Plot).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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1. The weight and systolic blood pressure of 26 randomly selected males in the age
group 25-30 are shown in the following table. Assume the weight and blood pressure
are jointly normally distributed.
Subject
1
2
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5
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9
10
11
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13
14
15
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26
Weight, Systolic BP,
X
Y
165
167
180
155
212
175
190
210
200
149
158
169
170
172
159
168
174
183
215
195
180
143
240
235
192
130
133
150
128
151
146
150
140
148
125
133
135
150
153
128
132
149
158
150
163
156
124
170
165
160
(a) Plot the data using Excel Office (Choose Scatter Plot).
Transcribed Image Text:1. The weight and systolic blood pressure of 26 randomly selected males in the age group 25-30 are shown in the following table. Assume the weight and blood pressure are jointly normally distributed. Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 Weight, Systolic BP, X Y 165 167 180 155 212 175 190 210 200 149 158 169 170 172 159 168 174 183 215 195 180 143 240 235 192 130 133 150 128 151 146 150 140 148 125 133 135 150 153 128 132 149 158 150 163 156 124 170 165 160 (a) Plot the data using Excel Office (Choose Scatter Plot).
(b) Compute manually the Pearson r correlation coefficient and interpret the value.
(c) Verify Part b using Excel.
(d) Test the hypothesis that p = 0 versus p = 0 using a = 0.05.
(e) Test the hypothesis that p = 0.5 versus p > 0.5 using a = 0.05.
(f) What is the p-value of the test in part e.
Transcribed Image Text:(b) Compute manually the Pearson r correlation coefficient and interpret the value. (c) Verify Part b using Excel. (d) Test the hypothesis that p = 0 versus p = 0 using a = 0.05. (e) Test the hypothesis that p = 0.5 versus p > 0.5 using a = 0.05. (f) What is the p-value of the test in part e.
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