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The PI is unsure how to interpret the results about the change in sleep duration for total sleep time on weekdays - they explain to

  1. The PI is unsure how to interpret the results about the change in sleep duration for total sleep time on weekdays - they explain to you that a change from an average of 403 to an average of 449 does not seem to be all that much, but that a p<0.0001 certainly looks like a lot.

To help them understand how hypothesis testing works, and what degree of change would have been considered "statistically significant" in this study:

  1. - Calculate the Critical Values / Boundaries of the rejection region for the t-test the authors did on the paired differences between the participants scores before the intervention T1 and after the intervention T2 on the scale of the original data, i.e. in minutes.

Extra credit:short paragraph explaining to the researcher how these boundaries of the rejection region and the observed paired difference lead to the decision for this hypothesis tests, and what the smallest observed change that would lead to a rejection of the null hypothesis would be.

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