For all these problems you need to clearly state H0, H1, give (if not given), and clearly state your conclusion (in words!)

Females: 27.3 28.2 25.1 25.6 25.5 29.1 27.0 25.4 25.8 27.3 28.6

Males: 23.1 23.3 24.8 24.8 23.5 23.0 22.8 23.4 21.6 21.3

7) Let's use the the data above for female kestrel length. Here are the data (again), as well as the normal scores. Note that we added added one more female, and that the data are sorted):

Length(cm): 25.1 25.4 25.5 25.6 25.8 26.6 27.0 27.3 27.3 28.2 28.6 29.1

Z-scores: -1.73 -1.15 -0.81 -0.55 -0.32 -0.10 0.10 0.32 0.55 0.81 1.15 1.73

(a) Construct a q-q plot (normal probability plot)

(b) Verify the first three normal scores (i.e., calculate the first three normal scores by hand (you want to verify the three smallest normal scores, given in bold above)).