Mean of Sample mean

Question 2 10 pts Suppose Y is distributed with mean=80 and variance=100. You obtain a large number of samples each of size 40 and compute the sample mean for each sample. 1. What do you expect the mean of the sample means to equal? Mean of the sample means: 2. What do you expect the variance of the sample means to equal? Variance of the sample means: Suppose W=1 with probability 0.2; W=2 with probability 0.3; and W=3 with probability 0.5. 3. What is the mean of W? Mean=l 4. What is the standard deviation of W? Round to two decimal places if necessary. Standard deviation: l Suppose you have a sample of a variable x, and nd that x has sample mean=12 and sample variance=16. 5. If x1=15, what is the zscore for x1? 21