Question

the mean height of a group of 500 nonsmoking college students is 74 inches and the standard deviation is 5 inches. what is the probability that in a random sample of 25 students from this group, the average height will be between 73 and 75 inches?

Answer 1

Based on the given description above, I have analyzed it and come up with a solution to get the probability if in a random sample of 25 students from this said group and the average height is between 73 and 75 inches. So if you calculate it, it will be like this: 
2P(Z<2)−1 To find the probability of Z, use the normal distribution table.
The value for Z being less than 2 is 0.9772. The final result is then2(0.9772)−1=0.9544
Hope this is the answer that you are looking for.