3. Point estimates of the mean and standard deviation From an infinite population, you draw three samples, 16 observations each. Their means are: 121 = 3, 2 = 11, and i3 = 17 dollars. (a) Use the central limit theorem to estimate the population mean. Show work. (b) Find the standard enor of the mean for these sample means (treat the three means as the population). Show work. (c) Give your estimate of the population variance. Show work. (d) Find the probability that the mean of the next random sample will be higher than -15.74 dollars. Draw the density graph of your