A coffee lover claims that she can tell whether the cream was mixed with the coffee, or the
coffee was mixed with the cream. Her claim is put to the test by being presented 8 cups of
coffee, four of which had the coffee added first and four of which had the cream added first. If
she gets all eight correct, is this sufficient evidence at the a-0.05 level that the coffee lover can
tell the difference? (Hint: There are 70 possible ways to guess which four cups are which, and
only one of those guesses is correct. You do not need 1-PropZint for this problem and it is much
easier than you think.) (This question from 1935 is called the "lady tasting tea" problem and is a
classic result in hypothesis testing.)

Question

01-11-2022
Mathematics

Answered

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A coffee lover claims that she can tell whether the cream was mixed with the coffee, or the
coffee was mixed with the cream. Her claim is put to the test by being presented 8 cups of
coffee, four of which had the coffee added first and four of which had the cream added first. If
she gets all eight correct, is this sufficient evidence at the a-0.05 level that the coffee lover can
tell the difference? (Hint: There are 70 possible ways to guess which four cups are which, and
only one of those guesses is correct. You do not need 1-PropZint for this problem and it is much
easier than you think.) (This question from 1935 is called the "lady tasting tea" problem and is a
classic result in hypothesis testing.)

Sagot :

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