Scores on the quantitative portion of the GRE are approximately normally distributed with mean u=150.8 and a standard deviation o=8.8.
1. A random sample of 5 students was selected to take the GRE. Their scores are: 160, 175, 163, 149, 153. What is the z-score corresponding to the sample mean of these students' scores?
2. What is the probability that five randomly selected students will have a mean score that is greated than the mean achieved by the students in the previous problem?