Find the Z score associated with probability. (Round the answer to two decimal places).
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
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Title: Finding the Z Score from a Given Probability
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**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).*
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**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.
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By understanding the relationship between probabilities and Z scores on this curve, learners can interpret data and statistical results more effectively.
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