(ACT) Program composite that varies slightly from 2. The scores of individual st

Question

(ACT) Program composite that varies slightly from 2. The scores of individual st udents on the American College Testing college entrance examination have a normal distribution with mean o year and standard deviation 4.8. You plan to take an simple randor the students who took the ACT exam this year and compute the in your sample. You will use this to estimate the mean score of all stiu for the standard error to be no more than 0.1 on average, how large should n students this year. In order be? (a) at least 48 (b) at least 230 (c) at least 2304 (d) This cannot be determined because we do not know the true mean of the population

Explanation / Answer

2.
standard deviation is 4.8
standard error to be more than 0.1 on average
sample size n=?
standard error = standard deviation/sqrt(n)
0.1 = 4.8/sqrt(n)
sqrt(n) = 4.8/0.1
sqrt(n) = 48
n = 48^2
n = 2304
so that sample size is n atleast 2304 on average
option :C

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