Devise a null and alternative hypothesis, then perform a t-test using alpha=0.05 if the students in our class that are born in warm weather months are taller or shorter than those born in cold weather months. Graphically display your answer and statistically write up results. In addition, determine the effect size of this relationship and interpret. Notes: 1. Population SDs are unknown. 2. Assume the northern hemisphere: Warm months = April, May, June, July, August, September - Cold months = October, November, December, January, February, March 3. Use Cohen's d effect size: Cohen's d = (M - M)/SDpooled) Where SDpooled = ((SD12 + SD22)/2) School Enrolled ID 1 Arts and Sciences 2 Applied Science and Technology 3 Business and Management 4 Nursing 5 Public Service 6 Arts and Sciences 7 Science and Technology Applied 8 Science and Technology Applied 9 Science and Technology Applied 10 Science and Technology Applied 11 Science and Technology Applied 12 Science and Technology Applied 13 Science and Technology Applied 14 Science and Technology Applied 15 Science and Technology Applied 16 Science and Technology Applied 17 Business and Management 18 Science and Technology Applied Birthday Month Height (whole inches) January January April June July June October November January January March June February March June December August February 60 73 66 68 68 70 72 75 69 71 73 75 68 63 66 67 64 62