Explain whether you believe you can accurately use a sample size of 500 to determine
the maximum. What is one problem with using the maximum as your estimator? Use the histogram
above to help answer.
5. Assessing Gary’s Models
Games with Gary
Our friend Gary comes over and asks us to play a game with him. The game
works like this:
We will flip a fair coin 10 times, and if the number of heads is greater than or equal to
5, we win!
Otherwise, Gary wins.
We play the game once and we lose, observing 1 head. We are angry and accuse Gary of cheating!
Gary is adamant, however, that the coin is fair.
Gary’s model claims that there is an equal chance of getting heads or tails, but we do not believe
him. We believe that the coin is clearly rigged, with heads being less likely than tails.
to a two-item array containing the chance of
heads as the first element and the chance of tails as the second element under Gary’s model. Since
we’re working with probabilities, make sure your values are between 0 and 1.
We believe Gary’s model is incorrect. In particular, we believe there to be a smaller chance of heads.
Which of the following statistics can we use during our simulation to test between the model and
our alternative? Assign
to the correct answer.
1. The distance (absolute value) between the actual number of heads in 10 flips and the expected
number of heads in 10 flips (5)