Question: Following head and/or neck trauma, patients are recommended for long-term physical therapy. An observational study is conducted to assess whether there is significant difference in the mean numbers of physical therapy attended by male and female patients suffering from head and/or neck trauma. The data is summarized below.

a.) Conduct the appropriate hypothesis test, assuming normality, to determine whether the mean number of hours differs between the gender. Use an alpha = 0.05.

b.) Construct a 95% confidence interval for the difference in mean number of hours attended between the genders.

c.) Based on your answer to part B, is there a significant difference in mean number of hours between genders? Justify your answer. Does the confidence interval calculated in part B confirm or contradict your conclusion in part A?