Suppose you programmed a computer to do the following: Step 1: Randomly choose a number from 0, 3, 6, 9, or 12 (with equal proba-e bility of choosing each value). Do this 200 times to get a sample of n = 200 random numbers. Step 2: Using the sample in step 1, calculate u ="x, ^o? = s2, and tEu - V_ )[sigma/ n. Step 3: Repeat steps 1-2 another 99,999 times to get a total of 100,000 different sample means u and variances ^o? calculated in the same way. a. Suppose you created a histogram using your 100,000 values of u. What does this histogram tell us? b. What do you expect would be the mean of the 100,000 values of "u? c. What do you expect would be the variance? d. Suppose you created a histogram using your 100,000 values of t. What does this histogram tell us? e. What do you expect would be the mean of the 100,000 values of t? f. What do you expect would be the variance? g. What can you say about the approximate shape of the histogram in part(d)?e