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Events (or random variables) are independent when information on some of them tells you nothing about the probability of occurrence (/ distribution) of the others. Please DO NOT use this tag for independent variable use [predictor] instead.

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Is the sample independent from the mean?

This exercise is about an unpaired t-test (based on the instructions directly above the image). From a previous page: "Let $Y_jk$ denote the kth observation in the jth group where j = 1 for the treat …
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