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, assumed to be Normal, are shown below:
Before: Average=9.571, standard deviation=0.076
After: Average=9.629, standard deviation=0.180
Before - After: Average= -0.058, standard deviation=0.172
Using a 0.01 level of significance, test the claim that the training technique is effective in raising the gymnasts' scores. Round your answer to 3 decimal places.
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