expected value, standard errors of the mean (probability)

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<br>a) Using the Central Limit theorem, we can say that for this reasonably large size sample, the population mean is roughly equal to sample mean and hence the Expected Value = mu = 5
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<br>Standard deviation of the sample means = Standard error = SE = Sigma/sqrt(n) = 3/sqrt(36) = 0.5
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<br>probability that the sample mean will be at least ...