Please show the all the steps to get the answers, i would like to understand clearly.

The principal of a large high school near Boston was interested in whether obesity was related to academic performance. She drew and sample of 40 honors students and 75 others (roughly proportionate the numbers of such students in the school), and determined their BMI scores, obtaining the summary results shown in the table below. State and test (using a .05 significance level) the relevant hypotheses concerning differences in BMI scores between honors students and the rest. Make sure to interpret the findings (not just reject/retain null hypothesis).

	Honors	Non-honors
Sample size	40	75
Mean	29.4	28.2
Variance	22.1	19.8