Question

Pro sports shoes are name brand shoes that advertise improved jumping abilities for the show wearer. 6 participants are selected to test this claim. Each participant is given a pair of the same off brand shoes (in their size) and their jump height is measured. Each participant then changes into pro sports shoes and a new jump height is measured. The results of the tests are shown below.

Player	Off brand	Pro sports
1	4.8	7.1
2	6.1	5.7
3	3.9	7.2
4	5	6.9
5	5.1	6.5
6	5.2	4.8

Can it be concluded that wearing pro sports shoes improves jump height? Use the appropriate hypothesis test with α=0.05. assume the differences are normally distributed

Answer 1