Freshman weights: Do college students tend to gain or lose weight during their freshman year? Following are a sample of weights of 15 college freshmen at the beginning and at the end of their freshman year.

Can you conclude that the median weight at the end of the year differs from the median at the beginning of the year? Use the α = 0.05 level of significance.

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Student 1 2 3 45 6 7 8 9 10 11 12 13 14 15 Beginning 174 150 148 190 161 162 186 181 158 118 124 189 103 149 117 End 193 161 153 194 153 172 177 173 164 111 139 204 115 143 127