Final answer:
The student scores from a standardized test normally distributed with a mean of 500 is true.
Step-by-step explanation:
The statement is true. Student scores from a standardized test that are normally distributed mean that the scores follow a bell-shaped curve with a center at the mean. In this case, the mean is 500. This means that most students' scores will be around 500, with fewer scores being higher or lower.
In statistics, it is common for standardized test scores to be modeled using a normal distribution, which is defined by its mean (μ) and standard deviation (σ). Here, a mean of 500 simply specifies the center of the distribution, but without information about the standard deviation or the actual distribution of scores, we cannot categorically confirm the statement to be true. However, in many practical scenarios involving large numbers of students, test scores tend to follow a normal distribution due to the Central Limit Theorem.