Question

A researcher collects ten pairs of data measuring bronze concentration in bottom water and
surface water. Assuming the underlying distributions are normal (with unknown mean and
variance), carry out a paired t-test to conclude if the true average concentration in the bottom
water exceeds that of surface water.
bottom 0.43, 0.266, 0.567, 0.531, 0.707, 0.716, 0.651, 0.589, 0.469, 0.723
surface 0.415, 0.238, 0.39, 0.41, 0.605, 0.609, 0.632, 0.523, 0.411, 0.612
Table 2: bronze concentration in bottom water and surface water
Hint: Section 10.4 on textbook or any material on paired t-test might be helpful.

Answer 1