SOLUTION: A distribution of values is normal with a mean of 170 and a standard deviation of 2. 1. Find the interval containing the middle-most 38% of scores. Enter your answer using in

Algebra ->  Probability-and-statistics -> SOLUTION: A distribution of values is normal with a mean of 170 and a standard deviation of 2. 1. Find the interval containing the middle-most 38% of scores. Enter your answer using in      Log On


   



Question 1133710: A distribution of values is normal with a mean of 170 and a standard deviation of 2.
1. Find the interval containing the middle-most 38% of scores.
Enter your answer using interval notation. Example: [2.1,5.6)
Your numbers should be accurate to 1 decimal places.
Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The middle 38% of scores is 19% on each side of the mean or between 0.3100 and 0.6900.
This is between z=-0.495 and z=+0.495
z=(x-mean)/sd
-0.495=(x-170)/2
-.99=x-170
x=169.01 lower
x=170.99 higher
[169.01, 170.99] or [169.0, 171.0]