The scores of individual students on the American College Testing (ACT) Program

Question

The scores of individual students on the American College Testing (ACT) Program composite college entrance examination have a Normal distribution with mean that varies slightly from year to year and standard deviation 5.0. You plan to take an SRS of size n of the students who took the ACT exam this year and compute the mean score of the students in your sample. You will use this to estimate the mean score of all students this year. In order for the standard deviation of the sample mean to be no more than 0.1, how large should n be?

a. This cannot be determined because we do not know the true mean of the population.

b. At least 25

c. At least 50

d. At least 500

e. At least 2500

Explanation / Answer

a

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