SAT
a New SAT Preparation Program Claims That Students Will

SAT
A new SAT preparation program claims that students will improve their verbal scores with a practice test after one month on the program.To validate their claim,they recorded the starting and practice verbal SAT scores of 12 individuals after a one-month period.The results are shown in the following table.
$$\begin{array} { | c | c | } \hline \text { Starting SAT Score } & \text { Practice SAT Score } \\\hline 450 & 460 \\\hline 390 & 390 \\\hline 425 & 430 \\\hline 510 & 500 \\\hline 520 & 525 \\\hline 440 & 420 \\\hline 550 & 570 \\\hline 610 & 625 \\\hline 490 & 510 \\\hline 475 & 485 \\\hline 535 & 540 \\\hline 500 & 500 \\\hline\end{array}$$
-Use $\alpha$ = 0.01.State the decision rule in terms of the critical value.