Let's break down the problem to determine the correct answers for each part of the question.
First, we need to identify the population and the sample.
Population: This refers to the entire group of individuals that the study aims to learn about. In this context, it is all the people who could potentially eat at Bart's food truck. So, the population consists of everyone who has eaten at Bart's food truck.
Sample: This is the subset of the population that was actually surveyed. In this case, Bart surveyed his friends who have eaten at his food truck. Thus, the sample consists of Bart's friends who have eaten at his food truck.
Next, we interpret the results of the survey.
Based on the table, we see that 15 friends prefer grilled sandwiches, and 5 friends prefer plain sandwiches.
Conclusion: Since Bart only asked his friends, the survey results show that his friends prefer grilled sandwiches by a margin of 15 to 5. We must state this conclusion correctly by saying that his friends prefer grilled sandwiches, 15 to 5.
Finally, for the results to be more accurate, Bart should not only survey his friends but a wider and more diverse group of customers.
More Accurate Result: The accuracy of the result can be improved by surveying a larger random sample that is representative of the entire population of his customers. Therefore, the results would have been more accurate if Bart had surveyed a larger random sample of his customers.
Putting it all together, we have:
In this case, the population consists of everyone who has eaten at Bart's food truck and the sample consists of Bart’s friends who have eaten at his food truck.
Based on the results, it can be concluded that his friends prefer grilled sandwiches, 15 to 5. The results would have been more accurate if Bart had surveyed a larger random sample of his customers.
