Question

Suppose the scores of students on an tests are Normally distributed with a mean of 305 and a standard deviation of 65. Then approximately 99.7% of the test scores lie between the numbers ____ and ____ such that the mean is halfway between these two integers.

Answer 1

Approximately 99.7% of the test scores lie between 110 and 500, with the mean being halfway between these two integers.

Step-by-step explanation:

In a normal distribution with a mean of 305 and a standard deviation of 65, approximately 99.7% of the test scores lie between the numbers 305 - (3*65) = 110 and 305 + (3*65) = 500.

Since the mean is halfway between these two integers, the mean would be (110 + 500) / 2 = 305.