A professor at a large college is interested in the difference between male and female student study times. Leading up to final exams, the professor collects a SRS of study times (in hours) from male and female students.A summary of the data is presented below:

Gender n xbarS

Male 17 11.960 1.250

Female 19 10.860 1.180

Letmu1represent

the average Male study time andmu2(2in foot)represent the average

Female study time.Assume the box-plots for both sets of data look roughly

symmetric with no outliers.

a.If appropriate (aka check conditions), construct a98% Confidence Interval (Lower, Upper) for the difference between the average study times of men and women.Provide your interval bounds to 3 decimal places and clearly state what you have found.Show written work for ALL of the calculationsAND clearly state what you have found

Lower=?

Upper=?

b.Written only.MAKE THE CONNECTION. Is there a difference in the average study times between Males and Females?Use your98% confidence interval to make your conclusion (aka usinganote=0.020).