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Explanation : - The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that regardless of the original population distribution, the distribution of the sample mean will approximate a normal distribution if the sample size is sufficiently large (typically n≥30n ). This theorem is essential in inferential statistics because it allows us to make reliable inferences about a population using a sample. In the given question, the company wants to estimate the average salary of its employees. Since surveying every employee is impractical, they take a random sample of 200 employees . The CLT ensures that the sample mean salary will be normally distributed , even if the original salary distribution is skewed or non-normal.
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[email protected]
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