The heights of 1000 students are approximately normally distributed with a mean of 179.4 centimeters and a standard deviation of 6.1 centimeters. Suppose 400 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Determine the mean and standard deviation of the sampling distribution of X. The mean is x= (Type an integer or a decimal. Do not round.) The standard deviation is = (Type an integer or a decimal. Do not round.)