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I'm trying to solve a problem similar to this: https://www.coursehero.com/tutors-problems/Statistics-and-Probability/25601794-can-someone-please-explain-I-missed-the-class/ In the solution it provides a test statistic formula I don't understand. In more detail

I'm trying to solve a problem similar to this:

https://www.coursehero.com/tutors-problems/Statistics-and-Probability/25601794-can-someone-please-explain-I-missed-the-class/

In the solution it provides a test statistic formula I don't understand. In more detail than the solution lists, how do I compute the test statistic?

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