4. The scores on a university examination are normally distributed with a mean of 62 and a standard deviation of 11. If the bottom 5% of students will fail the examination, what is the lowest score, to the nearest whole number, that a student can have and pass?

Question

4.	The scores on a university examination are normally distributed with a mean of 62 and a standard deviation of 11.  If the bottom 5% of students will fail the examination, what is the lowest score, to the nearest whole number, that a student can have and pass?

PsyDAG · Answer

Z = (score-mean)/SD Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion. Use the corresponding Z score to find your answer.