A random sample of 50 single family homes provided the following data: or the population mean size. [ 842.3,1511.1] [ 2039.9,2597.9 ] [ 1984.5,2653.3 ] [ 1934.1,2703.7 ] A random sample of 50 single family homes provided the following data: \begin{tabular}{|c|c|} \hline & Home Size (sqft) \\ \hline 1 & 1896 \\ \hline 2 & 1008 \\ \hline 3 & 1568 \\ \hline 4 & 2144 \\ \hline 5 & 2229 \\ \hline 6 & 1260 \\ \hline 7 & 1913 \\ \hline 8 & 1688 \\ \hline 9 & 2326 \\ \hline 10 & 1632 \\ \hline 11 & 2077 \\ \hline 12 & 1322 \\ \hline 13 & 1805 \\ \hline 14 & 1331 \\ \hline 15 & 888 \\ \hline 16 & 920 \\ \hline 17 & 1064 \\ \hline 18 & 2597 \\ \hline 19 & 1520 \\ \hline 20 & 3028 \\ \hline 21 & 1152 \\ \hline 22 & 1530 \\ \hline 23 & 1426 \\ \hline 24 & 1550 \\ \hline 25 & 1620 \\ \hline 26 & 1780 \\ \hline 27 & 6204 \\ \hline 28 & 4174 \\ \hline 29 & 2153 \\ \hline 30 & 3220 \\ \hline 31 & 1952 \\ \hline 32 & 1890 \\ \hline 33 & 4283 \\ \hline 34 & 2088 \\ \hline 35 & 1084 \\ \hline 36 & 1595 \\ \hline 37 & 4153 \\ \hline 38 & 2343 \\ \hline 39 & 6117 \\ \hline 40 & 2935 \\ \hline 41 & 1922 \\ \hline 42 & 3025 \\ \hline 43 & 4020 \\ \hline 44 & 3206 \\ \hline 45 & 2573 \\ \hline 46 & 3197 \\ \hline 47 & 2830 \\ \hline 48 & 2597 \\ \hline 49 & 3054 \\ \hline 50 & 2055 \\ \hline \end{tabular} Last year, the population mean size of homes reached 2712 sqft. Formulate the hypothesis to test whether the average home size has declined this year compared to last year. Ho:>2712Ha:2712Ha:2712Ho:2712Ha: