Question

mr. higa places two bins of colored tiles in front of his classroom. each bin contains 200 tiles. he challenges students to predict the number of orange tiles in each bin. to help, he lets each student choose a random sample of 10 tiles from each bin. the table shows the results of one students samples. based on the samples, can you be confident that bin b has more orange tiles than bin a? no. the sample size is small and random samples vary. it would be better to look at all the samples instead of just one sample. yes. bin b definitely has more orange tiles than bin a.

Explanation:

In statistics, when making predictions about a population (here, the entire bin of tiles) based on a sample, a larger sample size generally gives more reliable results. A sample size of 10 is relatively small. Also, random samples can vary. Just looking at one sample (even if in this one sample Bin B had a higher proportion of orange tiles in the sample) is not sufficient to be confident about the entire bin. To make a more confident prediction, looking at multiple samples (or a larger sample) would be better.

Answer:

No. The sample size is small and random samples vary. It would be better to look at all the samples instead of just one sample.