Question

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.

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.)

Solutions

Expert Solution

= 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


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