Statistics

[lelemarie]

Problem:
The weights of female college students are normally distributed with a standard deviation of 22lbs.
What is the mean weight of female college students if 13% weigh more than 174.35lbs?

If you could help me with this, I would GREATLY appreciate it

 

[galactus]

Look up 1-.13=.87 in the body of your z table and find its corresponding z score.

Then, use \(\displaystyle z=\frac{x-{\mu}}{\sigma}\).

Enter in \(\displaystyle z, \;\ x, \;\ \sigma\), and solve for \(\displaystyle {\mu}\).