(a) Using the computation formula for the sample sum of squares, verify that the sample standard deviation, s , equals 23.33 lbs for the distribution of 53 weights in Table 1.1.

(b) Verify that a majority of all weights fall within one standard deviation of the mean (169.51) and that a small minority of all weights deviate more than two standard deviations from the mean.

160 168 133 170 150 165 158 165
193 169 245 160 152 190 179 157
226 160 170 180 150 156 190 156
157 163 152 158 225 135 165 135
180 172 160 170 145 185 152
205 151 220 166 152 159 156
165 157 190 206 172 175 154