Start time: _______ End time: _______			Name: ___________________________
	Or, record elapsed time in minutes: __________
	Part III: Calculation of an Expected Count in a 2-Way Table (6 points)
10.	Suppose that at Landunn School for Boys, a census of 219 students reveals the following cross-tabulation of hair color (B = blond, Br = brown, Oth = other) versus athletic ability (J = tough guy, A = average guy, C = permanent athletic cut):
		J	A	C	Total
	B	15	12	8	35
	Br	47	44	48	139
	Oth	20	18	7	45
	Total	82	74	63	219
(a)	Explain briefly why this is a 3 x 3 table, not a 4 x 4 table. (In other words, explain why the totals are not included in the count of rows and columns. A one-word explanation is acceptable.) ___________________________________________________________
(b)	Compute the expected number of brown-haired average athletes, i.e., the entry in the 2,2 position of the expected matrix. SHOW WORK. NO CREDIT WITHOUT WORK.
11.	At Landunn School (see data in #10), determine whether there is any evidence of an association between hair color and athletic ability. Use = 0.15 for this problem. Show all steps, including at least some of the work in the calculation of the relevant test statistic. You should show the results of the expected counts when checking assumptions, but you need not show the work for the calculation of expected counts, since that skill was already tested in #10. Write “OVER” if you wish to continue on the reverse side.