Question
Suppose $X \sim N(9,5) .$ What value of $x$ has a $z$ -score of $-0.5 ?$
Step 1
Step 1: The $z$-score is calculated by the formula: \[ z = \frac{x - \mu}{\sigma} \] where $x$ is the value we're looking for, $\mu$ is the mean, and $\sigma$ is the standard deviation. Show more…
Show all steps
Your feedback will help us improve your experience
Bryan Meares and 94 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Suppose $X \sim N(9,3) .$ What is the $z$ -score of $x=9 ?$
The Normal Distribution
The Standard Normal Distribution
Suppose $X \sim N(2,3) .$ What value of $x$ has a $z$ -score of $-0.67 ?$
Suppose $X \sim N(8,1) .$ What value of $x$ has a $z$ -score of $-2.25 ?$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
