g) The Lady Tasting Tea Experiment. An English lady, Muriel Bristol, claimed that she can tell whether tea or milk was added first to a cup. So as a researcher, you want to test whether she can really tell whether tea or milk was added first. But how would you do it? A possible research design: Give her eight cups, four where tea is added first and the other four where milk is added first, in random order. Then ask her to pick out the four cups where the milk is added first. After you conducted the experiment and collected the data, how do you decide whether she can truly tell the difference or she was just guessing. Our intuition tells us that the more cups she gets correctly, the more likely that she is NOT guessing. "If the Lady is just guessing, the probability of getting it all correctly is 1.4%." Now using your knowledge on combinatorics and probability, explain how this number was calculated? h) Suppose you flip four fair coins. What is the probability that you will get all heads?
g) The Lady Tasting Tea Experiment. An English lady, Muriel Bristol, claimed that she can tell whether tea or milk was added first to a cup. So as a researcher, you want to test whether she can really tell whether tea or milk was added first. But how would you do it? A possible research design: Give her eight cups, four where tea is added first and the other four where milk is added first, in random order. Then ask her to pick out the four cups where the milk is added first. After you conducted the experiment and collected the data, how do you decide whether she can truly tell the difference or she was just guessing. Our intuition tells us that the more cups she gets correctly, the more likely that she is NOT guessing. "If the Lady is just guessing, the probability of getting it all correctly is 1.4%." Now using your knowledge on combinatorics and probability, explain how this number was calculated? h) Suppose you flip four fair coins. What is the probability that you will get all heads?
Transcribed Image Text:g) The Lady Tasting Tea Experiment.
An English lady, Muriel Bristol, claimed that she
can tell whether tea or milk was added first to a
cup. So as a researcher, you want to test
whether she can really tell whether tea or milk
was added first. But how would you do it?
A possible research design: Give her eight
cups, four where tea is added first and the other
four where milk is added first, in random order.
Then ask her to pick out the four cups where the
milk is added first.
After you conducted the experiment and
collected the data, how do you decide whether
she can truly tell the difference or she was just
guessing.
Our intuition tells us that the more cups she gets
correctly, the more likely that she is NOT
guessing.
"If the Lady is just guessing, the probability of
getting it all correctly is 1.4%." Now using your
knowledge on combinatorics and probability,
explain how this number was calculated?
h) Suppose you flip four fair coins. What is the
probability that you will get all heads?
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