Final answer:
About 34% of students scored between 60 and 65 points on a test with scores that are normally distributed with a mean of 60 and a standard deviation of 5. This falls within one standard deviation above the mean.
Step-by-step explanation:
The question asks about the percentage of students who have scored between 60 and 65 points on a test where scores are normally distributed with a mean of 60 and a standard deviation of 5.
To find this percentage, we utilize the properties of the normal distribution. Scores of 60 and 65 are 0 and 1 standard deviations from the mean, respectively.
Using the standard normal distribution table (z-table) or a calculator with normal distribution functions, we know that approximately 34% of the data in a normal distribution lies between the mean and one standard deviation above the mean.
Therefore, the percent of students who scored between 60 and 65 points is about 34%, which corresponds to option B.