Suppose that scores on a particular test are normally distributed with a meanof 120 and a standard deviationof 19. What is the minimum score needed to be in the top 5% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.
Denote by X the scores on a particular test. Obviously, X is a random variable following a normal distribution with a mean of 120 and a standard deviation of 19.
Now we need to find …
It finds the minimum score needed to be in the top 5% of the scores on the test, where the score is normally distributed.