Heads Up Coin Toss

1) Toss your penny a total of 10 times and record the number of heads below.

2) Calculate the proportion of heads for your sample of size 10.

3) Are you surprised at the proportion from #2? Why or why not?

4) Compare your number of heads or proportion of heads with a neighbor. Are the values the same or different? Did you expect the values to be the same or different?

5) Is it possible to toss a penny 10 times and observe only 3 heads? 2 heads? 0 heads? Is each of these possibilities likely? Why or why not?

6) Navigate to http://www.rossmanchance.com/applets/OneProp/OneProp.htm and change the number of tosses to 10. Leave all other values unchanged.

7) Click Draw Samples. Observe the number of heads in the sample. Is this value the same as your sample from #1?

8) Uncheck the Animate box and click Draw Samples several more times to see each additional observation plotted on the dotplot. What is happening to the shape of the distribution as you draw

more samples?

9) Click Reset and change the number of repetitions to 100. Describe the center and shape of the distribution.

10) Carefully read each of the options below. You will only follow directions for one of these options.

a) If you feel that your count from #1 is lower than expected, leave the option selected, type in your number of heads, and click Count.

b) If you feel that your count from #1 is higher than expected, change to option, type in your number of heads, and click Count.

c) If you feel that your count from #1 is equal to what you expected, use either the or option, type in your number of heads, and click Count.

11) What does this value represent?

12) Categorize your number of heads from #1 as one of the following:

impossible highly unlikely likely highly likely certain