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Mathematics, 12.03.2020 17:43 mathiscool51

A certain university claims its recent graduates earn an average (μ) annual income of $60,000. We have a reason to question the legitimacy of this claim and decide to test it out on a random sample of 100 alumni. In the process, we get a sample mean (X) of only $57,500. Suppose we know hypothetically that the standard error of the sample mean (X) is $1,000. How likely is it that we would get a sample mean of $57,500 or less if the true population mean is actually $60,000?

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