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

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) (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.

RELATED QUESTIONS
A distribution of values is normal with a mean of 144 and a standard deviation of 73.2. (answered by Theo)

A distribution of values is normal with a mean of 180.9 and a standard deviation of 83.6. (answered by Theo)

A distribution of values is normal with a mean of 150.4 and a standard deviation of 4.5. (answered by rothauserc)

A distribution of values is normal with a mean of 96 and a standard deviation of 41.1. (answered by Boreal)

A distribution of values is normal with a mean of 40.2 and a standard deviation of 61.1. (answered by ewatrrr)

Suppose the variable X has a normal distribution with mean 36 inches and standard... (answered by ewatrrr)

A distribution of values is normal with a mean of 40 and a standard deviation of 98.... (answered by GingerAle)

Distribution with a mean of 123 and standard deviation of 8 is transformed into a... (answered by Boreal)

The lifetimes of 20,000 light bulbs are normally distributed. The mean lifetime is 230... (answered by oscargut)