Question 1188236
the mean is 436.
the standard deviation is 94.
to find the critical scores that have 99.7% of the area under the normal distribution curve between them, use this calculator.


<a href = "https://davidmlane.com/hyperstat/z_table.html" target = "_blank">https://davidmlane.com/hyperstat/z_table.html</a>


the results of using the referenced calculator are shown below:


<img src = "http://theo.x10hosting.com/2021/112902.jpg" >


the scores that have 99.7% of the area under the normal distribution curve between them are 157.033 to 714.967.


the distance between them and the mean of 436 is plus or minus 278.967.


let me know if you have any questions.


theo