In: Statistics and Probability
The distribution of results from a cholesterol test has a
mean of 180 and a standard deviation of 20. A sample size of 40 is
drawn randomly.
Find the sum that is one standard deviation below the mean of the
sums. (Round your answer to two decimal places.)
= 180
= 20
A sample of size n = 40 is taken from this population.
The distribution of the sample sum has the mean and standard deviation ad
=
n*
= 40 * 180 = 720
=
= 20*
40 =
126.49
The value of sum which is one standard deviation below the mean
is -
(1*
)
-
(1*
) =
720 - (1* 126.49) = 593.51