a school cafeteria wants to survey a random s...
a school cafeteria wants to survey a random sample of 50 students about the quality of food. during one lunch period, every 5th student who walks through the cafeteria door is surveyed until 50 students are selected. which of the following statements is true about this sample?\nthis is a random sample, and it is a simple random sample.\nthis is neither a random sample nor a simple random sample.\nthis is not a random sample, but it is a simple random sample.\nthis is a random sample, but it is not a simple random sample.
Answer
# Brief Explanations:
A random sample is one where each member of the population has a non - zero chance of being selected. Here, every 5th student has a chance to be selected, so it's a random sample. A simple random sample requires that every possible sample of the given size has an equal chance of being chosen. In this case, the sampling method (systematic sampling by selecting every 5th student) means not every possible sample of 50 students has an equal chance of being selected. For example, groups of students who enter in clusters at different times have different probabilities of being part of the sample.
# Answer:
This is a random sample, but it is not a simple random sample.