Find the Z score associated with probability. (Round the answer to two decimal places).

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
**Transcription for Educational Website:**

Title: Finding the Z Score from a Given Probability

---

**Objective:** Learn how to find the Z score associated with a given probability, using a standard normal distribution curve.

**Task:** Find the Z score associated with the probability. *(Round the answer to two decimal places).*

---

**Diagram Explanation:**

The diagram presents a standard normal distribution curve (bell-shaped curve), commonly used to illustrate probabilities in statistics.

- **Shaded Area:** The left tail of the curve is shaded, representing a probability of **0.1562**. This shaded region corresponds to the cumulative probability from the far left up to the Z score that needs to be determined.
  
- **Axis:** The horizontal axis, labeled as "z," represents the Z scores, which are standardized scores indicating how many standard deviations an element is from the mean.
  
- **Curve Characteristics:** The peak of the curve symbolizes the mean of the distribution (Z = 0), and the curve is symmetrical around this mean.

**Goal:** Using a standard normal distribution table or calculator, determine the Z score associated with the cumulative probability of 0.1562 and round the result to two decimal places.

---

By understanding the relationship between probabilities and Z scores on this curve, learners can interpret data and statistical results more effectively.
Transcribed Image Text:**Transcription for Educational Website:** Title: Finding the Z Score from a Given Probability --- **Objective:** Learn how to find the Z score associated with a given probability, using a standard normal distribution curve. **Task:** Find the Z score associated with the probability. *(Round the answer to two decimal places).* --- **Diagram Explanation:** The diagram presents a standard normal distribution curve (bell-shaped curve), commonly used to illustrate probabilities in statistics. - **Shaded Area:** The left tail of the curve is shaded, representing a probability of **0.1562**. This shaded region corresponds to the cumulative probability from the far left up to the Z score that needs to be determined. - **Axis:** The horizontal axis, labeled as "z," represents the Z scores, which are standardized scores indicating how many standard deviations an element is from the mean. - **Curve Characteristics:** The peak of the curve symbolizes the mean of the distribution (Z = 0), and the curve is symmetrical around this mean. **Goal:** Using a standard normal distribution table or calculator, determine the Z score associated with the cumulative probability of 0.1562 and round the result to two decimal places. --- By understanding the relationship between probabilities and Z scores on this curve, learners can interpret data and statistical results more effectively.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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