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Olympia's third hypothesis is: The average total time [Total] it took the deities to complete the...

Olympia's third hypothesis is: The average total time [Total] it took the deities to complete the triathlon was less than the world record set in 1996, which was 100 minutes. Which one of the following assumptions must be tested when answering this question?

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Answer #1

Here, the dependent variable is: total time taken by deities to complete the triathlon. Hence, the assumptions that we check before conducting this one sample t or Z test for mean are:

  • the dependent variable (total time taken by deities to complete the triathlon) must be approximately normally distributed.
  • the dependent variable must be a continuous variable.
  • the observations should be independent of one another.
  • the dependent variable should not contain outliers.
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