Given a normal distribution with a u 48 and o 4 find the z-score that corresponds to each x value below. Round all answers to two decimal places. a.) Find the raw score corresponding to z = b.) Find the raw score corresponding to z = 3. 0.75.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Understanding Normal Distribution and Z-Scores

Given a normal distribution with a mean (μ) of 48 and a standard deviation (σ) of 4, find the raw score (x) that corresponds to the given z-scores. Round all answers to two decimal places.

---

**Question a:**

Find the raw score corresponding to z = -0.75.

_Answer box for input_

---

**Question b:**

Find the raw score corresponding to z = 3.

_Answer box for input_

---

### Explanation

To find the raw score (x) corresponding to a given z-score, use the formula:

\[ x = \mu + z \cdot \sigma \]

Where:
- \( \mu \) is the mean
- \( \sigma \) is the standard deviation
- \( z \) is the z-score

Use this formula to solve the problems in the given questions.
Transcribed Image Text:### Understanding Normal Distribution and Z-Scores Given a normal distribution with a mean (μ) of 48 and a standard deviation (σ) of 4, find the raw score (x) that corresponds to the given z-scores. Round all answers to two decimal places. --- **Question a:** Find the raw score corresponding to z = -0.75. _Answer box for input_ --- **Question b:** Find the raw score corresponding to z = 3. _Answer box for input_ --- ### Explanation To find the raw score (x) corresponding to a given z-score, use the formula: \[ x = \mu + z \cdot \sigma \] Where: - \( \mu \) is the mean - \( \sigma \) is the standard deviation - \( z \) is the z-score Use this formula to solve the problems in the given questions.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman