Question

Michigan Stadium, also known as "The Big House," seats over 100,000 fans for a football game. The University of Michigan Athletic Department wants to survey fans 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.

The department select an SRS of fans from each of the three seating zones (sideline, corner, endzone). They then combine these SRSs into one overall sample.

What type of sample was obtained?

A) Voluntary response sample

B) Cluster random sample

C) Simple random sample

D) Convenience sample

E) Stratified random sample

Answer 1

The sampling method used by the University of Michigan Athletic Department for surveying fans in Michigan Stadium is a stratified random sample. This technique involves dividing the population into strata and taking a simple random sample from each.

Step-by-step explanation:

The University of Michigan Athletic Department is using a stratified random sample for their survey of fans attending football games at Michigan Stadium. A stratified random sample is chosen by dividing the larger population into smaller groups or strata — in this case, the seating zones of sideline, corner, and end zone — and then selecting a simple random sample from each stratum. Finally, these samples are combined to form the overall sample, ensuring representation from each section of the stadium.