You have a coin that you think is fair, with = probability of heads = 1/2.

You have a coin that you think is fair, with π = probability of heads = 1/2. To check, you plan to flip the coin n times.
a. Compute the SD of p̂ for each value of n in the table below and fill in your SD values.

n ...............................SD of p̂
10
20
40
100
500
1,000

b. Plot SD(p̂) on the y-axis versus n on the x-axis and join your points with a smooth curve.
c. The SD ___________ (increases/decreases) as n increases.
d. The curve becomes __________ (more, less) steep as n continues to increase.