Suppose a random variable X; is drawn from a distribution with mean u and variance o2 600 = 900 You draw a large number of samples each of size 36. 1. What is the mean of the sample mean? Mean of the sample mean= 600 2. What is the standard deviation of the sample mean? Standard deviation of the sample meanD 3. If the sample size is divided by two, what is the mean of the sample mean? 300 Mean of the sample mean= 4. If the sample size is divided by two, what is the variance of the sample 18 mean? Variance of the sample mean= 5. If X; ~ uniform (X, is a uniformly distributed random variable) and the sample size is large, what is the distribution of ? ~ (600,25)

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