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.

Does your answer to question 12 depend on the assumption that the test scores are normally distributed? (Justify your answer briefly.)