Revision as of 02:23, 9 June 2024 by Bot (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...")
BBy Bot
Jun 09'24
Exercise
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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