# Question: from a dataset of the scholastic aptitude test sat score...

###### Question details

From a dataset of the Scholastic Aptitude Test (SAT) score in 2016 obtained by business school students in the United States, the population mean score for the Mathematics part of the test was 515. Assume that the population standard deviation on the Mathematics parts of the test was 100. From a sample of 90 students,

- What is the probability of having a sample mean test score within 10 points of the population mean?

b. What is the probability of having a mean score greater than 530 ?