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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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