Discuss the following comments about the problem assigned for Homework Four. Prove (support) or refute them using the material presented in the book. Explain how your conclusions relate to the material and prepare and turn in a spreadsheet with the data, calculations and plots that you feel are needed to obtain the credit, given the information below.  The histogram of the reaction times is:

The value 0.1 does not appear on the histogram. The histogram would have to extend to the left in order to include to 0.1 value. Mean reaction time = 0.1723. Standard deviation = 0.0206. The probability that a reaction time of 0.1 or less could be observed is 0.022%. The Normal P-plot shown below does not give a compelling reason to discount an assumption of Normality in the data.

Based on these findings, it would appear unlikely for a sprinter to achive a reaction time of 0.1 or less. The extremely low probability (0.022%) would place the odds of such an occurrence at about 5000 to 1. This does not conclusively prove that Christie must have anticipated the starter's gun. Christie, being the reigning world champion, may have an extremely quick reaction time and it may be wrong to classify him along with other, lesser, sprinters. Moreover, since these reaction times are taken from the first heat in which the competition is less keen, it could be that reaction times are not as fast. The greater sprinters might conserve their energy for the finals, where their reaction times might be quicker. To further investigate this issue, it would be better to analyze the reaction times for the 100 meter champions in controlled conditions to see whether their reaction times are quicker and thus a 0.1 reaction time would not be as unlikely.