Devise a null and alternate hypothesis, perform a t-test using alpha 0.05 if students born in warm months are taller or shorter that those born in colder months. Display answer and write up results....

Devise a null and alternate hypothesis, perform a t-test using alpha 0.05 if students born in warm months are taller or shorter that those born in colder months. Display answer and write up results. Warmer months sample size 13, sample mean 69 inches standard deviation 2.9 inches. Colder months sample size 8, sample mean 70 inches, sample standard deviation 5.6. Polulation standard deviation unknown.