Suppose that a random sample of size 81 is to be selected from a population with mean 30 and standard deviation 9. What is the mean of sample mean X bar? What is the standard deviation of the sample mean? What is the probability that the sample mean for sample size of 81 will be between 28 and 32? Round answer to four decimal places. What is the probability that the sample mean for sample size of 81 will be greater than 29? Round answer to four decimal places.

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