Problem 75e

Given information

Here, the mean of the given distribution (μx)=$44,000; The standard deviation (σx)=6,500;

the sample size(n)=10; Let X=$400,000;

P(∑X>$400,000)=?

Step-by-step explanation

As we know, the mean for the total salaries of the teachers =(n)*(μx)=10*($44,000)=$440,000;

And the standard deviation for the total salaries of the teachers ;

;

Now by the z-score formula,

Z=(400,000-440,000)/20,554.80=-1.9460;