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Statistics / Mathematical Statistics and Data Analysis 3 / Chapter 11 / Problem 5

Mathematical Statistics and Data Analysis | 3rd Edition | ISBN: 9788131519547 | Authors: John A. Rice

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Here is another example of deliberate mystification - the idea of formulating and testing a null hypothesis. Let's take Example A of Section 11.2.1. It seems to me that it is inconceivable that the expected values of any two methods of measurement could be exactly equal. It is certain that there will be subtle differences at the very least. What is the sense, then, in testing \(H_0: \mu_X=\mu_Y\)?

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QUESTION:

Respond to the following:

Here is another example of deliberate mystification - the idea of formulating and testing a null hypothesis. Let's take Example A of Section 11.2.1. It seems to me that it is inconceivable that the expected values of any two methods of measurement could be exactly equal. It is certain that there will be subtle differences at the very least. What is the sense, then, in testing \(H_0: \mu_X=\mu_Y\)?

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