The hypothesis was modified following feedbacks from the reviewers. The team agrees with Dr Bianco's point that it is important to choose a time period that is long enough so that the data is not skewed by one-off events. The time period for analysis was thus expanded from a single month in June 2016 to include instead February, May, August and November 2016. Each month represents a season of the year.
While there was a suggestion by Dr. Bianco that the median might be a better metric than the mean because it is more robust to outliers, the team decided the keep the hypothesis centred on mean because most of the statistical tests we know thus far are more suited to compare means.
Null hypothesis: The mean bike trips on Saturdays are the same or less than the mean of bike trips on Sundays in 4 selected months representing each season of the year.
Alternative hypothesis: The mean bike trips on Saturdays are more than the mean bike trips on Sundays in 4 selected months representing each season of the year.
\(H_0:\ Sun_{avg}\ -\ Sat_{avg}\ \ge0\)
\(H_1:\ Sun_{avg}\ -\ Sat_{avg}\ <0\)