Assume that the heights of blocks are normally distributed, with a mean of 14.6 inches and a standard deviation of 2.5 inches. For a rad in sample of 22 blocks, answer the following: 1. what is the...

Assume that the heights of blocks are normally distributed, with a mean of 14.6 inches and a standard deviation of 2.5 inches. For a rad in sample of 22 blocks, answer the following:

1. what is the mean of  the distribution of x?

2. What is the standard deviation of the distribution of x?

3: what is the probability of obtaining a sample mean height less than 13.3 inches?

4. What is the probability of obtaining a sample mean heigh greater than than 15.2 inches?