A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, "Participants in our program lose more than $3$ pounds within a month." Six clients of this program are weighed on the first day $($Before$)$ of the diet and then one month later $($After$).$ A portion of the data is shown in the accompanying table. $($You may find it useful to reference the appropriate table: $z_{?}$ table or $t_{?}$ table$)$

$\backslash$table$[[$Client$,$Before,After$],[1,162,157],[2,197,207],[vdots,$vdots,vdots