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.
3 answers
The sample of 60 pieces of colored fruit snacks is more likely to give a prediction closer to the actual number of each color as it is a larger sample size. A larger sample size generally provides more accurate and reliable results as it reduces the margin of error and increases the precision of the estimate. With a sample size of 60, there is a higher probability of capturing the true distribution of colors in the production batch, whereas a sample size of 15 may not be representative of the entire batch and may lead to a less accurate prediction.
Make it a short answer
The sample of 60 pieces of colored fruit snacks is more likely to give a prediction closer to the actual number of each color due to its larger sample size, which reduces the margin of error and increases the precision of the estimate.