# 50% of Reese’s Pieces candies are orange. The Reese’s Pieces applet lets you simulate draws from a hypothetical population of Reese’s Pieces and take…

50% of Reese’s Pieces candies are orange.

The Reese’s Pieces applet lets you simulate draws from a hypothetical population of Reese’s Pieces and take data on the orange candies in your sample(s). (This applet was created by Professors Allan Rossman and Beth Chance at Cal Poly, San Luis Obispo.)

http://www.rossmanchance.com/applets/OneProp/OneProp.htm?candy=1

If you do not immediately see the “Reese’s Pieces” simulation, scroll down the page and in the bottom left-hand corner you need to ‘click’ where prompted to default to the “Reese’s Pieces” simulation.

1)1) Use the applet to draw 25 candies and calculate the proportion of orange candies. Do this ten times and write the values you get in the box below.

- First sample proportion
- Second sample proportion
- Third sample proportion
- Fourth sample proportion
- Fifth sample proportion
- Sixth sample proportion
- Seventh sample proportion
- Eighth sample proportion
- Ninth sample proportion
- Tenth sample proportion

Several classes used the Reese’s Pieces applet to draw samples and write down the proportion of orange candies that came up. Several classes took samples of 25 candies while several other classes took samples of 100 candies.

We are going to make a histogram of all of the results for samples of 25 candies and a separate histogram of all of the results for samples of 100 candies .

2)Which of the following would NOT be true?

A)The histograms for the two different sample sizes would both be centered around the same place.

B)The histograms for the two different sample sizes would both show about the same degree of variability.

C)The histograms for the two different sample sizes would both show a similar shape.

3)Explain briefly why you have chosen your answer(s) above.