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Suppose we are testing the hypothesis that the true average systolic blood pressure of U.S. adults is 120 mm Hg. Let's also assume we know

Suppose we are testing the hypothesis that the true average systolic blood pressure of U.S. adults is 120 mm Hg. Let's also assume we know the population standard deviation of systolic blood pressure is 20 mm Hg. If we were to take a sample of size 100 from the population of U.S. adults and given a type 1 error rate of 0.05 and a type 2 error rate of 0.2, what would the decision rule to reject/fail to reject the null hypothesis be? Be sure to clearly state in which situations you would reject and which situations you would fail to reject for full points.

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