Once upon a time, in a land far away, there lived a statistician by the name of Ronald Fisher. The town in which he lived, had a certain lady by the name of Muriel, who claimed that she had a special ability. She claimed that by merely tasting a cup of tea, she could identify whether milk had been added before the tea or tea had been added before the milk in the brewing process. Now Fisher was highly suspicious about whether this lady was in fact making a genuine claim. Fisher decided to prepare 8 cups of tea. For 4 of the cups, he added milk before adding the tea and for the remaining 4 cups he added tea before adding the milk. In all other aspects, the preparation of the 8 cups were identical. He then presented the 8 cups to Muriel for drinking and she identified every cup correctly. From here, we assume the following If Muriel had no special ability, she guesses randomly and her chance of guessing each cup correctly is 0.5. Muriel did not see how any of the 8 cups of tea was prepared. Q: What can Fisher conclude at 5% level of significance? There is enough evidence to reject the null hypothesis and conclude that Muriel has no special ability. There is enough evidence to reject the null hypothesis and conclude that Muriel has a special ability. There is enough evidence to reject the alternative hypothesis and conclude that Muriel has a special ability

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Description: Once upon a time, in a land far away, there lived a statistician by the name of Ronald Fisher. The town in which he lived, had a certain lady by the name of Muriel, who claimed that she had a special ability. She claimed that by merely tasting a cup

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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Once upon a time, in a land far away, there lived a statistician by the name of Ronald Fisher. The town in which he lived, had a certain lady by the name of Muriel, who claimed that she had a special ability. She claimed that by merely tasting a cup of tea, she could identify whether milk had been added before the tea or tea had been added before the milk in the brewing process. Now Fisher was highly suspicious about whether this lady was in fact making a genuine claim. Fisher decided to prepare 8 cups of tea. For 4 of the cups, he added milk before adding the tea and for the remaining 4 cups he added tea before adding the milk. In all other aspects, the preparation of the 8 cups were identical. He then presented the 8 cups to Muriel for drinking and she identified every cup correctly.

From here, we assume the following

If Muriel had no special ability, she guesses randomly and her chance of guessing each cup correctly is 0.5.
Muriel did not see how any of the 8 cups of tea was prepared.

Q: What can Fisher conclude at 5% level of significance?

There is enough evidence to reject the null hypothesis and conclude that Muriel has no special ability.
There is enough evidence to reject the null hypothesis and conclude that Muriel has a special ability.
There is enough evidence to reject the alternative hypothesis and conclude that Muriel has a special ability.
There is enough evidence to reject the alternative hypothesis and conclude that Muriel has no special ability.

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