The pressure for brewing espresso is necessary to help form cream and to distinguish this drink from strong drip coffee. Random samples of espressos from each of two commercial machines were obtained,...

The pressure for brewing espresso is necessary to help form cream and to distinguish this drink from strong drip coffee. Random samples of espressos from each of two commercial machines were obtained, and the pressure (in atmospheres) while brewing each cup was recorded. Assume the underlying distributions are continuous. Is there any evidence to suggest that the espresso setting on each machine produces a different median pressure? Use the Wilcoxon rank-sum test with a = 0.05, and find the p value associated with this test.

In the sport of speed skiing, racers ski downhill in a straight line as fast as possible. These skiers use special equipment and can reach speeds of 200 km/h. A random sample of men speed skiers was obtained from two events during 2013, and the speed was recorded for each.40 Assume the underlying distributions are continuous. Use the Wilcoxon rank-sum test to determine if there is any evidence to suggest that the median speed is different at these two events. Use a = 0.05.