Go Blue! Michigan Stadium, also known as “The Big House,” seats over 100,000 fans for a football game. The University of Michigan athletic department plans to conduct a survey about concessions that are sold during games. Tickets are most expensive for seats on the sidelines. The cheapest seats are in the end zones (where one of the authors sat as a student). A map of the stadium is shown.

(a) The athletic department is considering a stratified random sample. What would you recommend as the strata? Why?

(b) Explain why a cluster sample might be easier to obtain. What would you recommend for the clusters?
Why?

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38 30 37 36 35 34 33 32 31 30 29 40 41 42 43 44 1 2 3 4 5 ENDZONE Visitor Sideline Michigan Sideline 28 27 26 25 24 23 22 21 Sideline Corner Endzone PRESS BOX 6 7 8 9 ENDZONE 10 11 12 13 14 15 16 17 20 19 18