Use the Traditional Method of Hypothesis Testing to Test the Given

question 7

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. $\begin{array}{ c | r r r r r r r } \text { Subject } & A & B & C & D & E & F & G \\\hline \text { Before } & 9.4&9.5&9.7&9.4&9.5&9.7&9.6 \\\hline \text { After } &9.5&9.7&9.7&9.3&9.6&10&9.4\end{array}$
Using a 0.01 level of significance, test the claim that the training technique is effective in raising the gymnasts' scores.

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Definitions:

Gregarious

Describing a person or animal that enjoys being in social groups and often seeks the company of others.

Normative-stage

A concept in psychology that suggests individuals go through predetermined stages of development based on societal norms.

Normative-sequential

A developmental concept indicating that certain behaviors and milestones tend to occur in a specific, predictable order as individuals age.

Social Clock

The culturally preferred timing of major life events, such as marriage, parenthood, and retirement.