a. Describe how you can use a coin to address the question “Is it unlikely that the woman could get all eight correct if she were randomly guessing with each cup?” Be sure to include details such as how many times you would toss the coin and why; what would “heads” and “tails” stand for; what you would record aft er each set of coin tosses; how many times you would repeat this process. Also, how is this repeated coin tossing going to help you address the question?
b. Now use an applet simulation to address the question “Is it unlikely that the woman could get all eight correct if she were randomly guessing with each cup?” Th en explain how your answer follows from your simulation results.
c. Based on your simulation analysis, would you conclude that the woman’s result produces strong evidence that she is not guessing as to whether milk or tea was poured first? Also explain the reasoning process behind your answer.
d. Is your result in (c) statistically significant or is it plausible she is just guessing?

A famous (in statistical circles) study involves a woman who claimed to be able to tell whether tea or milk was poured first into a cup. She was presented with eight cups containing a mixture of tea and milk, and she correctly identified which had been poured first for all eight cups.