In order to test my hypothesis that the mean ride time for seniors is significantly less than the mean ride time for non-seniors I decided to use a two sample z-test. This make sense for my data since I will be comparing normally distributed data with my log transformed ride duration values. One other method that I considered, but decided against was splitting rides into groups of long and short and then using a chi-square test for proportions. I decided against this because I would have to supply a cutoff for short and long trips, and I could bias the results depending on what I chose.
Conclusions
Using a 2 sample z-test with a null hypothesis of the mean of senior's trip durations being greater than the mean trip duration of younger people's rides I calculated a z-test statistics of 13.796 with an associated p-value of 1. This means we cannot reject out null hypothesis that senior's bike ride durations are greater than or equal to those of younger people. In fact when looking at a box plot of ride durations seniors have higher ride durations.