27. Two basketbal l players on a s ch o o l t e am are working hard on c o n s i s t en c y o f their pe r formanc e . In particular, th e y are h o p in g to bring d ow n th e variance o f their scores. The c o ach b e l ie v e s th a t th e players are n o t equa l ly c o n s i s t en t in their g am e s . Over a 10 - g am e period, th e s cor e s o f th e s e tw o players are sh ow n be low. A s sum e th a t th e tw o s amp le s are drawn in d ep en d e n t ly from normal ly dis tributed populat ions .

P la y e r 1 13 15 12 18 14 15 11 13 11 16 P la y e r 2 11 21 18 9 20 11 13 11 19 8

a. De v e lo p th e h y p o th e s e s to t e s t w h e th e r th e players differ in cons is t en cy .

b. Use th e critical v a lu e app ro a ch to t e s t th e coach's claim a t α = 0.05.