a concert venue offers tickets in 3 zones: or...
a concert venue offers tickets in 3 zones: orchestra, grand tier, and balcony. tickets in the orchestra zone are most expensive, and tickets in the balcony zone are least expensive. managers of the venue want to survey approximately 150 guests at the next concert about their opinions on the schedule of shows in the upcoming season. why might the managers choose a systematic random sample instead of a simple random sample? choose all answers that apply: a a systematic sample can save time by selecting guests as they enter rather than looking for guests selected in a simple random sample. b a systematic sample chooses some guests of all ages, so they will be more likely to get a representative sample. c a systematic random sample reduces the likelihood of getting disproportionate numbers of guests from any given zone.
Answer
# Brief Explanations:
- Option A: In a systematic sample, selecting guests as they enter is more time - efficient than tracking down randomly selected guests in a simple random sample.
- Option B: Both simple and systematic random samples can aim for a representative sample regarding age. This is not a distinguishing advantage of systematic random sampling here.
- Option C: If the seating is arranged in a way that can be used for systematic sampling (e.g., every nth seat), it can help in getting a more proportionate sample from different zones compared to a simple random sample where clustering from one zone might occur by chance.
# Answer:
A. A systematic sample can save time by selecting guests as they enter rather than looking for guests selected in a simple random sample.
C. A systematic random sample reduces the likelihood of getting disproportionate numbers of guests from any given zone.