A medical student is investigating two methods of taking a person's blood pressure. He takes a random sample of 10 people and measures their blood pressure using an arm cuff and a finger monitor. The table below shows the blood pressure for each person, measured by each method.
Person
\(A\)
\(B\)
\(C\)
\(D\)
\(E\)
\(F\)
\(G\)
\(H\)
\(I\)
\(J\)
Arm cuff
140
110
138
127
142
112
122
128
132
160
Finger monitor
154
112
156
152
142
104
126
132
144
180
Use a paired \(t\)-test to determine, at the \(10 \%\) level of significance, whether or not there is a difference in the mean blood pressure measured using the two methods. State your hypotheses clearly.
(8)
State an assumption about the underlying distribution of measured blood pressure required for this test.
(1)