A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
If spine bone density is normally distributed in young women with a mean of 1.0 g/cm2 and a standard deviation of .10 g/cm2, then how many young women out of 100 would you expect to have bone densities less than .85 g/cm2?
 one year ago
If spine bone density is normally distributed in young women with a mean of 1.0 g/cm2 and a standard deviation of .10 g/cm2, then how many young women out of 100 would you expect to have bone densities less than .85 g/cm2?

This Question is Closed

Jamierox4ev3r
 one year ago
Best ResponseYou've already chosen the best response.0probably not the majority because it is not close to the mean amount of 1.0, it is less than average

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1The zscore for 0.85 g/cm^2 is found as follows: \[z=\frac{X\mu}{\sigma}=\frac{0.851}{0.1}=1.5\] From a normal distribution table the cumulative probability when z = 1.5 is 0.0668. Therefore the number of young women out of 100 expected to have bone densities less than 0.85 g/cm^2 is \[0.0668\times 100=you\ can\ calculate\]

mww
 one year ago
Best ResponseYou've already chosen the best response.0You must convert the problem into a standard N(0,1) form. \[x < 0.85g/cm^2 \] \[Z = \frac{ x  \mu }{ \sigma } \] is the transformation required with mean of 1 and sd of 0.1 \[Z = \frac{ x  \mu }{ \sigma } < \frac{ 0.85  1 }{ 0.1 } = 1.5\] So find Z<1.5 on the tables which is 6.7% Multiply this by 100 to find the number of people.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.