A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury (mmHg), for a sample of 14 adults. The following table presents the results. Assume that blood pressures follow a bivariate nomal distrībution. Systolic Diastolic 134 87 115 83 113 77 123 77 119 69 118 88 130 76 70 91 116 133 112 75 107 71 110 74 108 69 105 66 Find a 95% confidence interval for p, the correlation between systolic and diastolic blood pressure. b. Can you conclude that p> 0.5? C. Can you conclude that p> 0?

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A blood pressure measurement consists of two numbers: the systolic pressure, which is the
maximum pressure taken when the heart is contracting, and the diastolic pressure, which is
the minimum pressure taken at the beginning of the heartbeat. Blood pressures were
measured, in millimeters of mercury (mmHg), for a sample of 14 adults. The following
table presents the results. Assume that blood pressures follow a bivariate nomal
distrībution.
Systolic
Diastolic
134
87
115
83
113
77
123
77
119
69
118
88
130
76
70
91
116
133
112
75
107
71
110
74
108
69
105
66
Find a 95% confidence interval for p, the correlation between systolic and diastolic
blood pressure.
b. Can you conclude that p> 0.5?
C.
Can you conclude that p> 0?
Transcribed Image Text:A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury (mmHg), for a sample of 14 adults. The following table presents the results. Assume that blood pressures follow a bivariate nomal distrībution. Systolic Diastolic 134 87 115 83 113 77 123 77 119 69 118 88 130 76 70 91 116 133 112 75 107 71 110 74 108 69 105 66 Find a 95% confidence interval for p, the correlation between systolic and diastolic blood pressure. b. Can you conclude that p> 0.5? C. Can you conclude that p> 0?
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