Does it look like I did all of my work correctly? How would I graph this correctly?

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 - Mi) /SDogged) where SD.glen = V((SD12 + SD23) /2)1. Null Hypothesis and Alternate Hypothesis (warm months al and cold months a2) Ha = a_ H :aza 2. a mean: 66 +68+ 68+70+70+65+64+70 a =- 8 a = 67.625 Sx =2.387 3. a, mean: 60+ 62+72+75+69+71+66+70+68 +72+62 a, = 11 a, = 67.909 Sx =4.847 (8-1)2.387 +(11-1)4.847- 4. (8 +11)-2 STL2 = 7.089 67.909-67.625 1 = 5, 7.089 1 1 V8 11 t =0.086 6. With a critical t-value of 2.110 > 0.086 we fail to reject the null hypothesis. 2.387' + 4.847- SD pooled = = 2.296 7. 2 cohen'sd = 67.909-67.625 = 0.124 2.296 8. With an effect size of less than 0.2 we can say this has a small effect. This means there is a small difference between the means. 9. The conclusion that the data leads us to is that there is not enough evidence to claim that people born in warm months are shorter or taller than those who are born in cold months