X1 ~NORM(30,2.5) and X2~NORM(30,3.3). H0: d0=0, H1: d0 > 0.0 (i.e, mean of X1 is > mean of X2), a=0.01. A sample of size n1=38 is pulled from X1 with a sample mean of 30.8, while a sample of size n2=32 is taken from X2 with a sample mean of 29.95. Run the hypothesis test using critical value and state your conclusions. Include supporting calculations and explanations to support your conclusion.
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