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A one-tailed test is directional. For example, let us assume your hypothesis is the mean weight of all Baseball payers is 5' 9''. The alternative hypothesis could be (1) it is less than 5' 9'' or (2) grater than 5'9''. It specifies a direction. The test is designed so that the criteria uses either the upper or lower part of a distribution. A two-taled test does not specify a direction. You want to know whether the average height is either 5'9'' or not (doesn't matter which way). The test is designed so that the criteria uses both the upper and lower part of a distribution

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Q: Difference between one and two tailed tests?
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