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QUESTION

The data inthis fileare the differences in productivity of workers measured before and after they undertake a training program. The file link:...

The data in this file are the differences in productivity of workers measured before and after they undertake a training program.

The file link: https://drive.google.com/file/d/1f5cOQ463hlF_KLqozaTr73I73wurMmkY/view?usp=sharing

  1. Test the null hypothesis that the training program makes no difference to productivity against a two-sided alternative hypothesis using a significance level of 5%. In your answer, you should state the null and alternative hypotheses, the significance level, the PDF of the test statistic under the null hypothesis, the value of the test statistic, and your conclusion.
  2. Do you need to make any assumptions in order for your test to be valid?
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