Statistics: Hypothesis Testing – #114


Question: A coach uses a new technique to train gymnasts. Seven gymnasts were randomly selected and their competition scores were recorded before and after the training. The results are listed below:

GYMNAST 1 2 3 4 5 6 7
BEFORE 9.6 9.7 9.7 9.5 9.6 9.5 9.6
AFTER 9.7 9.9 9.7 9.4 9.7 9.8 9.4

Using a 0.01 level of significance, test the claim that the training technique is effective in increasing the gymnasts= score.

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