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A sample of 92 observations is taken from a process (an infinite population). the sampling distribution of x̄ is approximately normal because

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It is normal based on the Central Limit Theorem. According to the theorem, an appropriately big sample (infinite) size from a population with a limited level of variance, the average of all samples from the same populace will be roughly equivalent to the mean of the population.
User Animesh Sahu
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