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In: Statistics and Probability

Scientist were testing how fast (seconds) 2 types of rats could race 5 m down one...

  1. Scientist were testing how fast (seconds) 2 types of rats could race 5 m down one section of the brand-new shiny hallways of the new Biological sciences building at SHSU. However, these scientists are a bit stuck as the samples have clearly not been sampled from a normal distribution.  Could you help them out with their statistics by running an appropriate t-test to see if Rat A was slower than Rat B?

Course times (seconds) for Rat A:

6.43 6.99 6.43 5.50 7.10 5.41 4.61 6.19 6.30 5.86

Course times (seconds) for Rat B:

7.71 8.29 5.45 8.23 6.95 7.07 9.72 5.17 5.93

  1. What is the null and alternative hypotheses?
  2. What does the data look like (is it really not normally distributed)?
  3. Which type of t-test and why and calculate the t-statistic (by hand, show your work)
  4. Now in R – code & results
  5. What can you conclude based on this analysis?  

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