exercise:8ea21d028c: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> It has been said<ref group="Notes" >J. F. Box, ''R. A. Fisher, The Life of a Scientist'' (New York: John Wiley and Sons, 1978).</ref> that a Dr. B. Muriel Bristol declined a cup of tea stating that she preferred a cup into which milk had been pou...") |
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It has been said<ref group="Notes" >J. F. Box, ''R. A. Fisher, The Life of a Scientist'' (New York: John Wiley and Sons, 1978).</ref> that a Dr. B. Muriel | |||
Life of a Scientist'' (New York: John Wiley and Sons, 1978).</ref> that a Dr. B. Muriel | |||
Bristol declined a cup of tea stating that she preferred a cup into which | Bristol declined a cup of tea stating that she preferred a cup into which | ||
milk had been poured first. The famous statistician R. A. Fisher | milk had been poured first. The famous statistician R. A. Fisher | ||
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before the tea and four in which the milk was put in after the tea. | before the tea and four in which the milk was put in after the tea. | ||
<ul><li> What is the expected number of correct guesses the lady would make if she had | <ul style="list-style-type:lower-alpha"><li> What is the expected number of correct guesses the lady would make if she had | ||
no information after each test and was just guessing? | no information after each test and was just guessing? | ||
</li> | </li> | ||
Latest revision as of 18:02, 14 June 2024
It has been said[Notes 1] that a Dr. B. Muriel Bristol declined a cup of tea stating that she preferred a cup into which milk had been poured first. The famous statistician R. A. Fisher carried out a test to see if she could tell whether milk was put in before or after the tea. Assume that for the test Dr. Bristol was given eight cups of tea---four in which the milk was put in before the tea and four in which the milk was put in after the tea.
- What is the expected number of correct guesses the lady would make if she had no information after each test and was just guessing?
- Using the result of Exercise Exercise find the expected number of correct guesses if she was told the result of each guess and used an optimal guessing strategy.
Notes