SOLUTION: A distribution of values is normal with a mean of 58.2 and a standard deviation of 40.3. Find P35, which is the score separating the bottom 35% from the top 65%. P35 = En

Algebra ->  Probability-and-statistics -> SOLUTION: A distribution of values is normal with a mean of 58.2 and a standard deviation of 40.3. Find P35, which is the score separating the bottom 35% from the top 65%. P35 = En      Log On


   

Question 1201632: A distribution of values is normal with a mean of 58.2 and a standard deviation of 40.3.
Find P35, which is the score separating the bottom 35% from the top 65%.
P35 =

Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
using a normal distribution calculator, this is easy to find.
here are the results from usig the calculator as https://davidmlane.com/hyperstat/z_table.html
first with raw scores.
next with z-scores.





if you're working with raw scores, you enter the mean and standard deviation.

if you're working with z-cores, the mean is 0 and the standard deviation is 1.

if you are looking for an individual score, as in this problem, the standard deviation is appropriate.

if you are looking for the mean of a sample of a specific size, then the standard error needs to be used.

standard error = standard deviation / square root of sample size.