In a certain university, math SAT scores for the entering freshman class averaged 650 and had a standard deviation of 100. The maximum possible score is 800. Is it possible that the scores of these freshmen are normally distributed? Explain.

Answer:

Step 1 of 1:

In this question, we are asked to find the possibilities that the scores of these freshmen are normally distributed.

Mean of scores = 650, standard deviation = 100.

The maximum possible score is 800.

Lets plot the normal probability density function with mean and standard deviation .

Figure 1: PDF of a normal random variable with mean and variance .

From the figure we can see that the normal curve is symmetric around mean .

There...