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An unknown distribution has a mean of 80and a standard deviation of 12. A sample size of 95is drawn randomly from the population.

Find the sum that is two standard deviations above the mean of the sums.

Short Answer

Expert verified

The sum that is two standard deviations above the mean of the sums is7833.92

Step by step solution

01

Given Information

Given in the question that,

mean is80, standard deviation is12and sample size is95

Find the sum that is two standard deviations above the mean of the sums.

02

Explanation

According to the shared details, the sample size of 95is randomly drowned from the population with a mean of 80and a standard deviation is 12. Therefore, the sum that is 2standard deviations above the mean of sums is given as:

∑X=(n)(μx)−(z)(n)(σx)

=95×80+2×95×12

=7833.92

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