Use the Traditional Method of Hypothesis Testing to Test the Given

question 77

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.

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Definitions:

Note Payable

A written promise to pay a specific sum of money, on demand or at a set time, to the holder of the note.

Maturity Value

The amount that will be paid to the holder of a financial instrument at its maturity date, including principal and any remaining interest.

Times Interest Earned Ratio

A financial metric that measures a company's ability to meet its interest payments on outstanding debt.

Operating Expenses

The ongoing costs for running a business, excluding the cost of goods sold, such as rent, utilities, and salaries.