Enrollment data of schools in Connecticut for the 2013–2014 school year are available in the file “School_Enrollment_Connecticut” α = 0.10. Note that the last row is for all of Connecticut and thus must be deleted for your analysis.

a) Do you think that there is a need to perform statistical inference to determine if there is a difference between the mean number of male and mean number of female students for the 2013–2014 school year?

b) Based on the data, test if there is a difference between the mean number of male and female students for the 2014–2015 school year at 10% significance.

c) Construct a two-sided 90% confidence interval.

d) What are the assumptions being made to perform the hypothesis test above?

e) Any limitations in the usefulness of the inference performed here?

f) Performa hypothesis test to determine if the mean number of females at Bridgeport school district is different than the mean number of females at the Fairfield School District.