5.20. A wildlife ecologist measured x1 = tail length (in millimeters) and x2 = wing length (in millimeters) for a sample of n = 45 female hook-billed kites. These data are displayed in Table 5.12. Using the data in the table, Table 5.12 Bird Data X1 X2 X1 X2 (Tail X1 (Wing X2 (Tail (Wing length) (Tail length) (Wing length) length) length) length) 191 284 186 266 173 197 285 271 197 285 208 194 288 280 201 295 180 198 273 300 190 282 180 180 275 272 209 305 188 190 280 292 187 210 285 191 283 286 207 196 297 288 196 285 178 268 191 271 207 286 202 271 179 257 209 303 205 208 285 179 289 261 190 202 280 285 186 262 189 200 277 272 174 211 245 310 192 282 181 250 216 305 199 280 189 189 262 274 188 258 Source: Data courtesy of S. Temple. (a) Find and sketch the 95% confidence ellipse for the population means , and #2; Suppose it is known that , = 190 mm and #2 = 275 mm for male hook-billed kites. Are these plausible values for the mean tail length and mean wing length for the female birds? Explain