An athletic shoe developer develops a new sole material that they believe allows

basketball players to jump higher. An experiment is conducted in which each of

eight basketball players is asked to jump as high as possible, once in shoes with

the old material, and once in shoes with the new material. The two tests for each

subject are done in random order. The data obtained is shown below $($where the

response data is height jumped in mm

Player Sole material $1$ Sole material $2$

$1608603$

$2622610$

$3899872$

$4713714$

$5678673$

$6905905$

$7662652$

$8790782$