Suppose a random variable X:- is drawn from a distribution with mean p. = 50 and variance 0'? = 15 . You draw a large number of samples each of size 64. 1. What is the mean of the sample mean? Mean of the sample mean= .. i 2. What is the standard deviation of the sample mean? Standard deviation of the sample mean= \"-5 3. If the sample size is divided bv four, what is the mean of the sample mean? 115 Mean of the sample mean= 4. If the sample size is divided bv four, what is the variance of the sample .4 mean? Variance of 1e sample mean= 5. If X!- m uniform (X; is a uniformly:r distributed random variable] and the normal sample size is large, what is the distribution off}: ? )7: a