Question 3 suppose we want to figure out what the

Question 3. Suppose we want to figure out what the biggest magnitude earthquake was in
2017, but we are tasked with doing this only with a sample of 500 from the earthquakes table.
To determine whether trying to find the biggest magnitude from a sample is a plausible idea,
write code that simulates the maximum of a random sample of size 500 from the earthquakes
table 5000 times. Assign your array of maximums to maximums .
13

In [121]: _ = ok . grade( ' q4_3 ' )
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Running tests
---------------------------------------------------------------------
Test summary
Passed: 1
Failed: 0
[ooooooooook] 100.0% passed
Question 4. Is a random sample of size 500 likely to help you determine the largest magnitude
earthquake in the population? Find the magnitude of the (actual) strongest earthquake in 2017 to
help you determine your answer.
14

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Running tests
---------------------------------------------------------------------
Test summary
Passed: 1
Failed: 0
[ooooooooook] 100.0% passed
Question 5. Explain whether you believe you can accurately use a sample size of 500 to de-
termine the maximum. What is a specific con of using the maximum as your estimator? Use the
histogram above to help answer.
1.5 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.