Team3-021714part2

Mondays exercise continued

Listed in the following order

Data

Test Statistic

Null Model

Dist. of Test statistic under null model

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1. Pride of lions:

   The data is the number of males and females in a pride of lions

   Test statistic is the percentage of males in a pride of lions

   The null model is that the percentages are the same

   The dist of the test statistic is binomial

2. Lottery

   Data is results from playing lottery

   Number of failed lottery trials

   null model is that the odds are accurate

   Statistic is distributed geometrically

3. GPS coordinates

   x,y,z coordinates

   test statistic is the sum of the squared norm of the coordinates minus true coordinates, normalized

   Null model is that these are unbiased

   Test statistic distribution is chi-squared. We are drawing from multiple gaussian distribution and measuring the variance from the known position

4. Traffic Lights

   Time to failure is the data

   Probability of the data under H0

   Time to failure is correct

   Distribution is also exponential