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when comes a large set of numbers, sample number is known, the probability of the average of the population being larger than a particular number.(normally

when comes a large set of numbers, sample number is known, the probability of the average of the population being larger than a particular number.(normally distribution). what are the steps to figure out the answer? Is it right to use t distribution first then use normal distribution? the answer is not needed, but I need to know how to get the right answer.

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