Suppose you take a sample of 15 pieces of colored fruit snacks and a sample of 60 pieces of colored fruit snacks from one day's production. Which sample is more likely to give you a prediction closer to the actual number of each color? Explain.

Answer 1

The sample of 60 pieces of colored fruit snacks is more likely to give a prediction closer to the actual number of each color. This is because a larger sample size provides a more accurate representation of the population. With a sample of 60, you have a better chance of capturing the true proportion of each color in the entire production, whereas a sample of only 15 may not be as representative and could potentially lead to a less accurate prediction. Additionally, a larger sample size reduces the margin of error and increases the reliability of the results.