A famous (in statistical circles) study involves a woman who claimed to be able to tell whether tea or milk was poured first into a cup. She was presented with cups containing a mixture of tea and milk, and she correctly identified which had been poured first for all eight cups.

A) Identify the observational units and the variable in this study. Observational unit:

B) Identify the parameter for this study.

C) Identify the sample size. Also identify the observed value of the statistic for this study.

D) Is it possible that the woman could get all eight correct if she were randomly guessing with each cup? (.5 pts)

E) Is it unlikely that the woman could get all eight correct if she were randomly guessing with each cup? (Answer for now based on your intuition, without doing any analysis.)

Question

Mathematics

Lane Poole

25 June, 04:44

A famous (in statistical circles) study involves a woman who claimed to be able to tell whether tea or milk was poured first into a cup. She was presented with cups containing a mixture of tea and milk, and she correctly identified which had been poured first for all eight cups.

A) Identify the observational units and the variable in this study. Observational unit:

B) Identify the parameter for this study.

C) Identify the sample size. Also identify the observed value of the statistic for this study.

D) Is it possible that the woman could get all eight correct if she were randomly guessing with each cup? (.5 pts)

E) Is it unlikely that the woman could get all eight correct if she were randomly guessing with each cup? (Answer for now based on your intuition, without doing any analysis.)

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Answers (1)

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Maximilian Hensley · Answer 1

Answer to D is yes it is possible as only two outcomes being correct or being incorrect, and this creates 1/2 being 50% chance.

Answer to E is yes it is unlikely, as when something is of equal chance this means each random answer has a likelihood of alternating.

After all making tea can include length of time factors to stir the milk, dissolve the sugar and nothing is specified if these factors were equally timed or not.

Furthermore the lady determining whether tea was added first with milk or not may have her taste sensory changed as one may be change of flavor to another equally also, considering tea strengths and any difference of batch leaves.