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Two basketball players on a school team are working hard on consistency of their performance. In particular, they are hoping to bring down the
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 below. Assume that the two samples are drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: chi-square table or Ftable) Player 1 Player 2 Click here for the Excel Data File 19 9 16 11 19 15 12 15 11 13 19 20 a. Select the hypotheses to test whether the players differ in consistency. H: 02 / 0? = 1, Ha: 022 / 012 m 1. Ho: 0 / 01 s 1, HA: 0 / 01 > 1. Ho: 0 / 0 1, HA: 0 / 0 < 1. Test statistic 15 20 17 10 9 19 27 23 b. Calculate the value of the test statistic. Remember to put the larger value for sample variance in the numerator. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
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