Question: A state requires its public-service employees to take a computerized test of verbal proficiency within one year of their starting date. Three assumptions are usually made about the test scores: i) their mean is 65; ii) their standard deviation is 10; and iii) they are normally distributed.

Let \(\bar{y}\) be the average of the test scores of 100 randomly chosen employees.

What is the expected value of \(\bar{y}\), i.e., what is E( \(\bar{y}\) )?