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A class of 20 (male) students believes they are shorter than the national average. If the average height of a (male) student is 176cm, with

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A class of 20 (male) students believes they are shorter than the national average. If the average height of a (male) student is 176cm, with a standard deviation of 7cm, find the maximum average height the class would need to be to accept their claim at the 5% level

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