Use the Traditional Method of Hypothesis Testing to Test the Given

Essay

Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations.
-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.
$$\begin{array} { r | c c c c c c c } \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \\\hline \text { Before } & 9.6 & 9.4 & 9.4 & 9.7 & 9.5 & 9.5 & 9.6 \\\hline \text { After } & 9.7 & 9.6 & 9.4 & 9.6 & 9.6 & 9.8 & 9.4\end{array}$$
Using a 0.01 level of significance, test the claim that the training technique is effective in raising the gymnasts' scores.