Homework Help is Here – Start Your Trial Now!
Math
Statistics
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 21.3 and the standard deviation was 5.4. The test scores of four students selected at random are 15, 24, 8, and 36. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 15 is (Round to two decimal places as needed.)

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 21.3 and the standard deviation was 5.4. The test scores of four students selected at random are 15, 24, 8, and 36. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 15 is (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
**Z-Score Calculation and Analysis** **Problem Statement:** A standardized exam's scores are normally distributed. In a recent year, the mean test score was 21.3, and the standard deviation was 5.4. The test scores of four students selected at random are 15, 24, 8, and 36. **Objective:** 1. Find the z-scores that correspond to each value. 2. Determine whether any of the values are unusual. **Z-Score Formula:** The z-score is calculated using the formula: \[ z = \frac{(X - \mu)}{\sigma} \] Where: - \( X \) is the individual data point. - \( \mu \) is the mean of the dataset. - \( \sigma \) is the standard deviation. **Task:** Calculate the z-score for the score of 15 (round to two decimal places). **User Interface Options:** - "Help Me Solve This" - "View an Example" - "Get More Help" **Functionality:** - A space to input the z-score calculation. - Options to clear the input and check the answer.
Transcribed Image Text:**Z-Score Calculation and Analysis** **Problem Statement:** A standardized exam's scores are normally distributed. In a recent year, the mean test score was 21.3, and the standard deviation was 5.4. The test scores of four students selected at random are 15, 24, 8, and 36. **Objective:** 1. Find the z-scores that correspond to each value. 2. Determine whether any of the values are unusual. **Z-Score Formula:** The z-score is calculated using the formula: \[ z = \frac{(X - \mu)}{\sigma} \] Where: - \( X \) is the individual data point. - \( \mu \) is the mean of the dataset. - \( \sigma \) is the standard deviation. **Task:** Calculate the z-score for the score of 15 (round to two decimal places). **User Interface Options:** - "Help Me Solve This" - "View an Example" - "Get More Help" **Functionality:** - A space to input the z-score calculation. - Options to clear the input and check the answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS