A Physician Claims That a Personʹs Diastolic Blood Pressure Can $\alpha = 0.01$

Essay

A physician claims that a personʹs diastolic blood pressure can be lowered if, instead of taking a drug, the
person listens to a relaxation tape each evening. Ten subjects are randomly selected and pretested. Their blood
pressures, measured in millimeters of mercury, are listed below. The 10 patients are given the tapes and told to
listen to them each evening for one month. At the end of the month, their blood pressures are taken again. The
data are listed below. Test the physicianʹs claim. Assume the samples are random and dependent, and the
populations are normally distributed. Use $\alpha = 0.01$ $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } \text { Patient } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline \text { Before } & 85 & 96 & 92 & 83 & 80 & 91 & 79 & 98 & 93 & 96 \\\hline \text { After } & 82 & 90 & 92 & 75 & 74 & 80 & 82 & 88 & 89 & 80\end{array}$$