Question: Use the Student Data Table (pasted at the end) and follow the instructions below. Devise a null and alternative hypothesis, then perform a one sample

Use the Student Data Table (pasted at the end) 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 67.03.8 inches. (Note: this is a population SD)
    2. Calculate and interpret the effect size (use Cohen's d): Cohen's d = (Msample - population) )
  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.
  3. Assume the northern hemisphere: Warm months = April, May, June, July, August, September Cold months = October, November, December, January, February, March
  4. Use Cohen's d effect size: Cohen's d = (M2 - M1) SDpooled) where SDpooled = ((SD12 + SD22) 2)

ID School Enrolled Months Enrolled Birthday Month Distance to Work (whole miles) Height (whole inches) Foot Size (whole inches) Hand Size (whole inches) Sleep (minutes) Homework (minutes)
1 Arts and Sciences 12 January 0 60 8 5 360 30
2 Applied Science and Technology 6 February 0 62 7 6 400 45
3 Business and Management 8 April 5 66 10 7 420 60
4 Nursing 10 June 10 68 12 8 440 15
5 Public Service 48 July 15 68 14 8 540 75
6 Arts and Sciences 48 June 30 70 12 9 480 120
7 Applied Science and Technology 36 October 32 72 11 8 320 80
8 Applied Science and Technology 32 November 36 75 14 7 440 60
9 Applied Science and Technology 2 July 21 66 10 7 360 30
10 Arts and Sciences 8 August 15 75 13 9 480 180
11 Arts and Sciences 4 August 13 66 9 7 420 120
12 Business and Management 49 October 31 73 12 7 435 70
13 Applied Science and Technology 12 January 5 70 11 8 420 70
14 Applied Science and technology 6 April 2 68 10 6 360 60
15 Applied Science and Technology 6 January 26 72 12 8 420 120
16 Applied Science and Technology 26 October 30 70 12 8 480 60
17 Applied Science & Technology 4 May 0 60 6 5 480 180
18 Applied Science & Technology 4 September 0 70 9 7 420 60

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