# Try this experiment with friends: Ask one friend to record 200 actual coin tosses and another friend to try

August 30, 2017

uestion

Statistical Applications

For this assignment, you will be using the case study “What Can a Fourth-Grader Do With Statistics?” on page 375 of your text. This case study is about a fourth grader’s application of statistics to a real-world question.

Do the following for this assignment:

•Read the case study on page 375.

•Respond to Questions 1–4 on page 376.

•In addition to the questions in the book, discuss what type of results would be needed for Emily to believe that her results were something other than pure chance.

Questions

1 Try this experiment with friends: Ask one friend to record 200 actual coin tosses and another friend to try to fake data for 200 coin tosses. Have them give you their results anonymously, so that you don’t know which sheet came from which friend.
came from which friend. Using (he ideas in this Focus,try to determine which set is real and which one is fake.After you make your guess, Lheck with yum friends to see whether you were right. Discuss your ability to detect the fakes.

Question 2
Briefly discuss how Benford’s law might be used to detect fraudulent tax returns.
Question 3
Can Benford’s law alone prove that data are fraudulent? Or can it only point to data that should be investigated further? Explain.
Question 4
Find a set of data similar to the sets shown in Figure 10.4 and make a bar chart showing the frequencies of the first digits I through 9. Do the data follow Benford’s law?
Explain.

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