IDEA: Women has short trip duration of usage of citibike than men.
NULL HYPOTHESIS:
The women’s average trip duration that use of citi-bike is the same as the men’s trip duration of usage of the bike.
\(H_{0}\) : \(\mu_{w}=\mu_{m}\)
\(H_{1}\) : \(\mu_{w}\neq\mu_{m}\)
where \(\mu_{w}\) is mean of of Women trip duration, \(\mu_{m}\) is mean of Men trip duration
or identically:
\(H_{0}\) : \(\mu_{w}-\mu_{m}=0\)
\(H_{1}\) : \(\mu_{w}-\mu_{m}\neq 0\)
I will use a significance level \(\alpha=0.05\) which means I want the probability of getting a result at least as significant as mine to be less then 5