question is attached:

The heights of 1000 students are approximately normally distributed with a mean of 176.5 centimeters and a standard deviation of 6.6 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 p_age 1 of the standard normal di [on table. Click here to view p_age 2 of the smndard normal distribution table. (a) Determine the mean and standard deviation of the sampling distribution of X The mean is \"i = I: (Type an integer or a decimal. Do not round.) The standard deviation is oi = (Type an integer or a decimal. Do not round.) (b) Determine the expected number of sample means that fall between 174.1 and 177.5 centimeters inclusive. sample means (Round to the nearest whole number as needed.) (c) Determine the expected number of sample means telling below 174.0 centimeters. _ sample means (Round to the nearest whole number as needed.)