Two basketball players on a sch ool tea m are working hard o n c o n s is t e n c y o f th eir p e r fo r m a n c e . In particular, t h e y are h o p in g to bring d o w n t h e va r ia n c e o f th eir scores. T he c o a c h b e lie v e s th a t t h e players are n o t eq u a lly c o n s iste n t in their g a m e s . O ver a 1 0 - g a m e period, t h e s c o r e s o f t h e s e t w o players are sh o w n below . A ssu m e that th e tw o sam p les are drawn in d ep en d en tly from normally distributed populations.

P layer 1 13 15 12 18 14 15 11 13 11 16 P layer 2 11 21 18 9 20 11 13 11 19 8

a. D evelop th e h y p o th eses to test w h eth er th e players differ in consisten cy.

b. U se t h e critical v a lu e a p p ro a c h t o t e s t t h e coach 's claim a t α = 0.05. P-399