Systematic random sampling is a viable option for the managers of the concert venue because it is easy to implement, guarantees representation, and is efficient.
Managers of the concert venue might choose a systematic random sample instead of a simple random sample for the following reasons:
Ease of implementation: Systematic sampling is easier to implement than simple random sampling. This is because systematic sampling involves selecting every nth item from a list, while simple random sampling involves selecting items randomly from a list. This can be especially beneficial for a large population, such as the audience at a concert.
Guaranteed representation: Systematic sampling guarantees that each zone in the concert venue will be represented in the sample. This is because the interval used to select the sample will be chosen randomly, and this interval will ensure that items from each zone are selected. This is important for the managers of the venue, as they want to ensure that the sample is representative of the entire audience.
Efficiency: Systematic sampling can be more efficient than simple random sampling. This is because systematic sampling does not require the managers to randomly select items from a list. Instead, they can simply select every nth item from the list. This can save time and effort, especially for a large population.