Two basketball players on a school team are working hard on

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

Solution

(a) H0: ?1^2 / ?2^2 = 1, HA: ?1^2 / ?2^2 ?1

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(b) sample variance for player 1 is 5.066667

sample variance for player 2 is 23.87778

The test statistic is

F= s1^2/s2^2

=5.066667 / 23.87778

=0.21

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(c) It is a two-tailed test.

Given a=0.05, the critical value of F with 0.025, df1=n1-1=10-1=9 and df2=n2-1=10-1=9 is 0.25 (from F table)

The critical value of F with 0.975, df1=9 and df2=9 is 4.03 (from F table)

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(d)Reject H0. consistency differs between the players.