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Student Data Table 2. 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. Distance to Hand Height Foot Size Size Sleep Homework Graphically display your answer and statistically write up results. In addition, determine the effect size of School Months Birthday Work (whole (whole (whole (whole (minutes) (minutes) inches) inches) this relationship and interpret. Enrolled Enrolled Month miles) inches) 360 30 Arts and 12 January 50 Notes: O Sciences 1. Population SDs are unknown. 190 65 2 Applied Science 7 8 April 5 and Technology 2. Assume the northern hemisphere: 66 7 420 60 Business and 10 8 April 5 Warm months = April, May, June, July, August, September Management 440 15 Cold months = October, November, December, January, February, March 10 June 10 68 12 8 4 Nursing 5 Public Service 48 15 68 14 540 75 July 70 12 480 120 3. Use Cohen's d effect size: Arts and 6 18 June 30 Cohen's d = (M2 - M,) / SDpooled) where SDpooled = V((SD12 + SD22) / 2) Sciences Applied Science 36 32 72 11 320 80 CO October and Technology 50 Applied Science 32 November 36 75 14 7 440 and Technology 720 360 9 Applied Science 3 12 November 0 71 and Technology Arts and November 65 70 11 300 120 10 Sciences 420 120 Applied Science 12 March 67 61 and Technology 400 120 Arts and 70 6 12 January 24 12 Sciences 7 500 120 13" Applied Science 64 January 7 and Technology 240 Applied Science 7 300 October 6 53 "and Technology Applied Science 74 12 8 400 120 15 September 45 and Technology 12 420 120 16Applied Science 13 February 8 72 and Technology 66 11 7 300 60 7Applied Science 12 May 42 and Technology 300 50 18 Applied Science 6 March 30 71 and Technology 480 240 19 Applied Science 7 July 23 and Technology 300 Applied Science 1 15 76 360 July and Technology