(Solution) - Consider the following competing hypotheses and accompanying data drawn from -(2025 Original AI-Free Solution)

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Consider the following competing hypotheses and accompanying data drawn from two independent populations.
H0: m1 - m2 = 0.... W1 = 80..... W2 = 40
HA: m1 - m2 ? 0.... n1 = 7......... n2 = 8
a. Specify the decision rule at the 5% significance level.
b. Determine the value of the test statistic.
c. What is the conclusion?