2. (adapted from JEW 6.20) The data in "kite.dat" are tail and wing length measurements (both in mm) for a sample of 45 male hook-billed kites. Researchers are interested in the relationship between these two measurements data kite; infile 'x:\\kite.dat'; input tail wing; run ; (a) Is there a linear relationship between the tail and wing measurements? State hypotheses appropriate for addressing this question, defining any parameter(s) used. Also, state any assumptions about the data relevant for this test to be valid. (b) Carry out the test above for linear relationship, and state the conclusion at the a = 5% level of significance. (c) Now suppose researchers are specifically interested in whether the wing length is 1.5 times the tail length on average. State hypotheses appropriate for addressing this question, defining any parameter(s) used. Also, state any assumptions about the data relevant for this test to be valid.(d) Carry out the test above for the assumed relationship, and state the conclusion at the o = 5% level of significance. (e) Comment on the differences between these test, specifically on why you think one was more significant than the other