Question

Question The tail lengths in millimeters (Xn) and wing lengths in millimeters (X12) for 8 male hook-billed kites are Tail length (X 180 186 206 184 177 177 176 200 Wing length (X12) |278 277 308 290 273 284 267 281 whereas, the tail lengths in millimeters (X21) and wing lengths in millimeters (X22) for 7 female hook-billed kites are Tail length (X21191 197 208 180 188 210 196 Wing length (X22)284 285 288 273 275 280 283 1. Test for equality of mean vectors for the populations of male and female hook-billed kites. Set α-0.05 Hint: For male hook-billed kites, calculate X1- ial and and for female hook-billed kites, calculate X2-TL Ση2i X2,-Pa, i22], and n2 n2 n2 After that, compute Spooledー(nris, n(nris, and use T2 test statistic: T-X,-X2 n1+n2-2 2. Determine the 95% confidence region for μ1-μ2 and 95% simultaneous confidence in- tervals for the components of μ- 2. Determine the 95% confidence region for μι-μ2 and 95% simultaneous confidence in- tervals for the components of ,h-12. Hint: Calculate (nı+n-)Spooled|-1[Xi-X2-(μ,-μ»)

Answer 1

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