A movie complex has eight different movie theaters. The manager of the complex wants to conduct a survey to determine which snacks to add to the menu. Which represents the best sample the manager could use for the survey?
Would I do specific ages the first 100 randomly picked people of certain ages or survey the whole complex of the randomly picked people of 100?
something is missing here.
3.B
To obtain the best sample for the survey, the manager could use a combination of both random sampling and stratified sampling techniques. Here are two possible options:
1. Random Sampling with Specific Ages: Randomly select 100 people within different age groups from the entire complex. For example, choose 25 people from the age group 18-25, 25 people from the age group 26-35, 25 people from the age group 36-45, and 25 people from the age group 46 and above. This approach ensures that the sample is representative of different age categories within the complex.
2. Stratified Sampling: Instead of focusing on specific age groups, divide the complex into smaller sections based on certain criteria that may affect snack preferences, such as movie genre preferences (e.g., action, comedy, drama, etc.) or time slots (e.g., morning, afternoon, evening). Randomly select a proportionate number of people from each section to form the sample. For example, if there are 4 genres and 4 time slots, sample 25 people from each genre-time slot combination.
Both approaches aim to ensure that the sample represents a diverse range of customers within the movie complex, allowing the manager to make informed decisions about which snacks to add to the menu.
To determine the best sample for the survey, we need to consider two key factors: randomness and representation.
1. Randomness: It is important to have a random selection of participants to ensure that the sample is unbiased. This means that each person in the population has an equal chance of being chosen for the survey.
2. Representation: The sample should also be representative of the entire population. In this case, the sample should reflect the preferences of moviegoers in all eight different movie theaters.
Considering these factors, the best approach would be to survey a random sample of people from each movie theater in the complex. This means randomly selecting a certain number of people from each theater, which can be done by using different techniques such as simple random sampling or stratified sampling.
For example, you could randomly select 10 people from each movie theater for a total of 80 participants (10 x 8 theaters). This approach ensures that the sample includes representation from all the theaters and maintains randomness in the selection process.
Alternatively, you could randomly select 100 people from the entire complex, but this might not guarantee representation from each individual theater, potentially biasing the results. Therefore, surveying a proportional number of people from each theater is a more effective approach.