Unit 11 Contents

20. Look at the data in your table.
1. If you had only taken one sample, would the data give you a good estimate for the total number of beans in your bag? Why or why not?
2. You took four samples for each sample size. Do you recommend the same, more, or fewer samples? Why?

You will need a piece of Centimeter Grid Paper and a ruler to complete the homework.

This is Arti and Lee Yah's data. They captured samples of 100, 200, and 300 bats (pinto beans) from a cave (bag).

1. Graph Arti and Lee Yah's data. Plot the number of beans in the sample (n) on the horizontal axis and the number of tagged beans (t) on the vertical axis.
1. If Arti and Lee Yah have no beans in a sample, how many tagged beans will they find? (n = 0, t = ?) Add this point to your graph.
2. Draw a best-fit line.
3. Use the line to find the number of tagged beans that would be expected in a sample of 150 beans.
4. Use the line to find the number of tagged beans that would be expected if Arti and Lee Yah take a sample of 400 beans.
5. If there are a total of 200 tagged beans in the bag, calculate an estimate for the total number of beans in the Pinto Bat Cave. Show or tell how you made your estimate.