A Coach Uses a New Technique to Train Gymnasts Do the Data Suggest That,on Average,the Training Technique Is Effective

Essay

A coach uses a new technique to train gymnasts.7 gymnasts were randomly selected and their competition scores were recorded before and after the training.The results are shown below. $$\begin{array} { l | c c c c c c c } \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \\\hline \text { Before } & 9.5 & 9.4 & 9.7 & 9.6 & 9.6 & 9.4 & 9.4 \\\hline \text { After } & 9.6 & 9.6 & 9.7 & 9.5 & 9.7 & 9.7 & 9.2\end{array}$$ Do the data suggest that,on average,the training technique is effective in raising the gymnasts' scores? Perform a paired t-test at the 5% significance level.