Use the 5% Significance Level to Test the Hypotheses $H _ { 0 } :$

question 4

Essay

Use the 5% significance level to test the hypotheses. $H _ { 0 } :$ The two population locations are the same $H _ { 1 } :$ The location of population A is to the left of the location of population B,
given that the data below are drawn from a matched pairs experiment. $\begin{array} { | c | c | c | c | c | c | c | c | c | } \hline \text { Matched Pair } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\hline \text { A } & 8 & 10 & 11 & 7 & 6 & 7 & 13 & 10 \\\hline \text { B } & 6 & 9 & 12 & 10 & 12 & 10 & 5 & 8 \\\hline\end{array}$

---

Definitions:

Statistical Reasoning

The ability to understand, interpret, and apply statistical techniques and data, and to evaluate the reliability and validity of the conclusions.

Small Samples

Studies or experiments that involve a relatively small number of participants, which may limit the generalizability of the results.

Record-Breaking Season

A period during which new records are established, surpassing previous performance benchmarks.

Early Performance

Refers to the initial stages or outcomes of an activity or process, often evaluated to predict long-term success or development.