Six rows (representing 6 Professors) of data are shown below. The data are available on BBL in several formats to ease the process of importing the data into your favorite statistical analysis platform. Minitab (or R) are recommended. degree rank sex year ysdeg salary Masters Prof Male 25 35 137450 Masters Prof Male 13 22 111400 Masters Prof Male 10 23 98950 Masters Prof Female 7 27 90034 PhD Prof Male 19 30 122892 Masters Prof Male 16 21 95882

1.  Construct a contingency table (using relative frequency) to summarize the distribution of professors by sex (Male, Female) and by rank (Asst, Assoc, Prof)
2. Does the proportion of females differ across rank (a) (2 points) Present a graphical display to examine this question (b) (1 point) Comment
3. Examine the variable salary, (a) (2 points) First use an appropriate graphical display. Be sure to label carefully, and to describe its shape. (b). Replot your display restricting the display to a smaller number of bins (classes). Comment on how the choice of the number bins changes the shape revealed in the display. (c) (2 points) Summarize the distribution of salary quantitatively by providing the relevant descriptive statistics.