This problem uses the data found in the le voicejeights. new on the course wehpage. The data are selfreported heights from the 1979 NY Choral Society, along with their voice part and gender. {a} Produce a single informative plot of the data that includes information from all three variables. No box plots! (h) Write down a statistical model for the data that includes voice as a factor variable. Dene all of your notation. (c) Estimate the model parameters from part (b), and report the parameter estimates and the standard errors for the regression parameter estimates. {d} Test for signicance of the voice variable at or = 0.01. (e) 1Write down a statistical model that includes gender as a factor variable. {f} Explain why the model in part (e) is a special case of the model in part (b). {g} Perform an Ftest for comparing the models in parts (b) and (a). Report the two sums of squares, the degrees of freedom, the F statistic, and the p~value