Use the Traditional Method of Hypothesis Testing to Test the Given

question 52

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 in training middle distance runners. The times for 8 different athletes to run 800 meters before and after this training are shown below. $$\begin{array} { r | c c c c c c c c } \text { Athlete } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } & \text { H } \\\hline \text { Time before training (seconds) } & 116.7 & 115.1 & 118.8 & 113.3 & 112.4 & 116.8 & 119.2 & 114.4 \\\hline \text { Time after training (seconds) } & 117.3 & 113.8 & 116.4 & 114.1 & 110.6 & 116.9 & 115.6 & 110.5\end{array}$$
Using a 0.05 level of significance, test the claim that the training helps to improve the athletes' times for the 800 meters.

---

Definitions:

Prospective Bidders

Prospective bidders are individuals or entities that may be interested in submitting a bid or offer to acquire goods, services, or assets that are being offered.

Guarantor

A person or entity that agrees to be responsible for another's debt or obligations if the latter fails to fulfill them.

Gummed Seal

A type of adhesive closure used on envelopes and packages that becomes sticky when moistened.

Heavy Machinery

Large and heavy equipment and machinery used in industries such as construction, mining, and manufacturing for tasks requiring significant power and force.