n1 = 25, n2 = 35, x1-bar = 71.5, x2-bar = 71.2, s1 = 10.3, s2 = 11.2
Ho: μ1 ≤ μ2
Ha: μ1 > μ2
α = 0.05
Pooled SD, s = √[{(n1 - 1) s1^2 + (n2 - 1) s2^2} / (n1 + n2 - 2)] = √(((25 - 1) * 10.3^2 + (35 - 1) * 11.2^2)/(25 + 35 - 2)) = 10.8367
SE = s * √{(1 /n1) + (1 /n2)} = 10.8367 * √((1/25) + (1/35)) = 2.838
t = (x1-bar -x2-bar)/SE = (71.5 - 71.2)/2.838 = 0.1057
p- value = 0.4581
Since 0.4581 > 0.05, we fail to reject Ho
There is no enough statistical evidence that males score significantly better than females.
Question 3 Experience has shown that Male applicants to Virginia Tech score on average 3.5 points...
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