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 \((\mathrm{mmHg})\), for a sample of 14 adults. The following table presents the results. Assume that blood pressures follow a bivariate normal distribution.

a. Find a 95\% confidence interval for \(ho\), the correlation between systolic and diastolic blood pressure.

b. Can you conclude that \(ho>0.5\) ?

c. Can you conclude that \(ho>0\) ?

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Systolic Diastolic 134 87 115 83 113 77 123 77 119 69 118 88 130 76 Systolic 116 133 112 107 110 108 105 Diastolic 70 91 75 71 74 69 66