The following (artificial) data record the length of stay (in days) spent on a psychiatric ward for 28 consecutive patients who have been sectioned under the mental health act, classified according to their gender:

  Male:      96   113   195    22    56   155    30    50    29    38    25    79    34

  Female:      39    71    17     9     35   6    57    10    18    65    35     21    32    28    16

Estimate the median length of stay, giving an approximate 95% confidence interval, for males and females separately.

Carry out a test to determine if there is a significant difference between males and females with regards to the median time spent on a psychiatric ward after being sectioned.

Estimate the probability that a randomly chosen male patient will stay longer than a randomly chosen female patient.