Question 1. Calculate the descriptive statistics for IQ scores and income for each of the random samples.

Question 2. Is there a statistically significant difference in the mean IQ scores of Caltech graduates as compared with MIT graduates?

Question 3. Is the mean annual income of MIT graduates lower or higher than that of Caltech graduates? Is the difference statistically significant?

Question 4. Is there a statistical correlation between IQ scores and annual income?

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{9}{|c|}{ Caltech Graduates } & \multicolumn{8}{|c|}{ MIT Graduates } \\ \hline No. & IQ & Income & No. & IQ & Income & No. & IQ & Income & No. & IQ & Income \\ \hline 1 & 123 & $168,500 & 11 & 128 & $391,000 & 1 & 141 & $261,000 & 11 & 127 & $190,500 \\ \hline 2 & 119 & $143,000 & 12 & 138 & $171,000 & 2 & 115 & $239,000 & 12 & 129 & $397,000 \\ \hline 3 & 133 & $171,700 & 13 & 117 & $217,000 & 3 & 138 & $198,900 & 13 & 136 & $244,000 \\ \hline 4 & 114 & $195,900 & 14 & 118 & $176,000 & 4 & 119 & $247,000 & 14 & 124 & $183,000 \\ \hline 5 & 129 & $247,000 & 15 & 121 & $163,000 & 5 & 125 & $393,000 & 15 & 136 & $249,000 \\ \hline 6 & 120 & $181,000 & 16 & 140 & $144,000 & 6 & 138 & $345,000 & 16 & 123 & $203,000 \\ \hline 7 & 136 & $347,000 & 17 & 131 & $243,000 & 7 & 118 & $238,000 & 17 & 131 & $171,000 \\ \hline 8 & 128 & $211,000 & 18 & 122 & $187,000 & 8 & 129 & $184,000 & 18 & 124 & $233,000 \\ \hline 9 & 109 & $157,500 & 19 & 126 & $191,000 & 9 & 120 & $219,000 & 19 & 128 & $167,000 \\ \hline 10 & 121 & $193,000 & 20 & 134 & $139,000 & 10 & 135 & $188,000 & 20 & 115 & $378,000 \\ \hline \end{tabular}