Question

31. Two basketball players on a school team are working hard on consistency of their performance. In particular, they are hoping to bring down the variance of their scores. The coach believes that the players are not equally consistent in their games. Over a 10-game period, the scores of these two players are shown in the accompanying table. Assume that the two samples are drawn independently from normally distributed populations. Player 1 13 15 12 18 14 15 11 13 11 16 Plaver 2 11 21 18 9 20 11 13 11 19 8 a. Develop the hypotheses to test whether the players differ in consistency. b. Test the coach's claim at a = 0.05.

Answer 1

solution; Given Data: Player 1 :- 13,15,12,18,14,15,11,13,11,16 [d=0005 Player 2:-11,2 1,13,9,20,11,13,11,19,8. hypothesisi Ho: 02²log 1 (nulu HA : 52216,2 1 [ Alternative] player 1: Meau sx1n: 13+15+...+ 16/10 16/10 -13.8 2 ca) for c) (S) SX ->) -(2.251 Ntl for player at mean SD (52) Exina 11+12+20+...+8110141 SCX -2)2. C4.886

2 4.8862 (b) test statistic S22 Si² 2.2512 tept statistic 4.7 Critical value - 4.02 one can see that critical value exceeds tet. We do not sejat null hupothesis. lll