5). The Census Bureau reports that 82% of Americans over the age of 25 are high

Question

5). The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1140 who were over the age of 25, and 884 of them were high school graduates.

(a)  Find the mean and standard deviation for the number of high school graduates in groups of 1140 Americans over the age of 25.
Mean =

Standard deviation =

(b)  Is that county result of 884 unusually high, or low, or neither?
(Enter HIGH or LOW or NEITHER)

Explanation / Answer

a) mean =np =1140*0.82 =934.8

Standard deviation = (np(1-p))1/2 =12.9717

b)

as 884 is less than 2 std deviation from mean ; it is  unusually low.

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