Using the concept of the Central Limit theorem, suppose x has a distribution with a mean of 12.62 and a standard deviation of 3.8, and 50 random sample were drawn. (a) What would be the mean and standard deviation of this distribution? Round your answers to 2 decimal places. Mean: and standard deviation: (b) Find the z value corresponding to x=11. Round to two decimal places. z value: (c) Find P(x<11). Round to 4 decimal places. P(x<11):
