Use the shared results from the Student Data Table and follow the instructions below. 1. Devise a null and alternative hypothesis, then perform a one sample z-test using alpha=0.05 if our class is taller or shorter than the average human in the United States. Graphically display your answer and statistically write up results. In addition, determine the effect size of this relationship and interpret. Notes: 1. The average height of adults in the United States is 67.013.8 inches. (Note: this is a population SD) 2. Calculate and interpret the effect size (use Cohen's d): Cohen's d = (Msample - Hpopulation) / 0) 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. 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 = (M2 - M1) / SDpooled) where SDpooled = V((SD12 + SD22) / 2)Months Distanc Height Foot Hand Sleep e to Size Size Homework School Enrolled Enrolle Birthday Month York [whole inches] (whole (whole [minute d (whole inches] inches] Applied Science and Technology 4 April 10 7 480 240 Arts and Sciences February 69 10 540 180 62 7 400 45 Applied Science and Technology February April 10 420 120 Applied Science and Technology Business and Management 20 July 68 350 120 Jun 440 15 Nursing 10 75 Public Service 48 July 540 48 June 30 70 12 480 120 Arts and Sciences 36 Detober 32 72 11 320 80 Applied Science and Technology Applied Science and Technology 32 Novembe 36 75 14 440 60 Applied Science and Technology 4 September 72 360 60 1 19 62 540 Applied Science and Technology July 90 Applied Science and Technology 18 April 49 70 360 120 Applied Science and Technology 24 March 40 72 330 120 April 66 420 60 Applied Science and Technology October 64 330 45 Applied Science and Technology Applied Science and Technology August 300 February 420 120 Applied Science and Technology 420 120 Applied Science and Technolog! June 480 Applied Science and Technology April 72 240 Applied Science and Technology April 74 300 60 May 63 300 60 Nursing Applied Science and Technology January 70 300 90 November 72 421 120 Applied Science and Technology November 65 480 60 Arts and Science Air Traffic Control December 420 60 340 90 Air Traffic Control September December 36 120 Applied Science and Technology 420 60 Applied Science and Technology December May 420 90 Applied Science and Technology Business and Management July 420 Bachelor of Science in Business Administration 16 November 480 60 Applied Science and Technology 48 October 120 September 42 300 Applied Science and Technology Natural Sciences and Mathematics October 40 60 Applied Science and Technology July 72 120 20 Applied Science and Technology February 72 450 120 Applied Science and Technology May 20 February 120 Applied Science and Technology Applied Science and Technology November 69 30 Arts and Sciences February 180 180 Applied Science and Technology 24 November Business and Management November 64 42 120 Applied Science and Technology February 50 Applied Science and Technology July 420 150 April 390 180 Bachelor of Science in Nuclear Energy Engineering Technology February 480 120 Bachelor of Science in Health Sciences Bachelor of Science in Nuclear Energy Engineering Technology January 54 120 Bachelor of Science in Business Administration April 36 180 July 450 120 Applied Science and Technology Bachelor of Science in Business Administration May 420 60 Arts and Science May 450 120 Business Administration in Operations Management February 69 360 180 Applied Science and Technology October 70 240 180 November 74 240 180 Applied Science and Technology Applied Science and Technology February 36 120 Arts and Science August 391 120 Bachelor of Science in Radiation Protection and Health Physics November 54 180 Applied Science and Technology December 240 120 Applied Science and Technology 33 Decembe 421 180 Bachelor of Science in Healthcare Management 11 January 36 180 Bachelor of Arts in Psychology July 42 80 Aviation Flight Technology June 360