Question 1146568
use the following calculator and your job gets much easier.


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


to get a grade of D, your score must be below the top 78% and above the bottom 6%.


to find the raw scores, you set the mean to 75.1 and the standard deviation to 9.1.


you then select value from an area.


the raw score associated with 6% of the area under the normal distribution curve being to the left of it (below) would be equal to 60.952.


the raw score associated with 78% of the area under the normal distribution curve being to the right of it (above) would be equal to 68.073.


to get a D, the student must get a score greater than 60.952 and less than 68.073.


round to the nearest whole number and the student needs to get a score between 61 and 68.


the inputs and outputs from the use of the calculator are shown below.


<img src = "http://theo.x10hosting.com/2019/100801.jpg" alt="$$$" >


<img src = "http://theo.x10hosting.com/2019/100802.jpg" alt="$$$" >