Solve using given information

The heights of 1000 students are approximately normally distributed with a mean of 172.2 centimeters and a standard deviation of 7.2 centimeters. Suppose 300 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 py = (Type an integer or a decimal. Do not round.) The standard deviation is ox = (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 169.7 and 173.5 centimeters inclusive. sample means (Round to the nearest whole number as needed.) (c) Determine the expected number of sample means falling below 169.5 centimeters. sample means (Round to the nearest whole number as needed.)