### Question: Finding the Z-Score for a Given Area**Problem Statement:**Find the z-score for which 80% of the distribution's area lies to its right.**Options:**1. -1.842. -2.163. -0.844. -0.52---**Solution:**To find the z-score for which 80% of the distribution's area lies to its right, you need to refer to the standard normal distribution table (Z-table) or use a calculator that provides the cumulative probability from the left.1. Know that if 80% of the distribution's area lies to the right, then 20% of the area lies to the left.2. Look up for the z-score where the cumulative probability is 0.20 (20%) in the Z-table.3. The corresponding z-score is approximately -0.84.Therefore, the correct answer is:**Option C: -0.84**---**Explanation of Diagrams/Buttons:**There is a graphical user interface showing a multiple-choice question. A user has selected the option -1.84. There is also a button with an 'X' mark in the center and a circular arrow, often representing the 'Clear' or 'Reset' option to choose a different answer.---**Key Concepts:**- **Z-Score**: A Z-score indicates how many standard deviations an element is from the mean.- **Standard Normal Distribution**: A normal distribution with a mean of 0 and a standard deviation of 1.- **Z-Table**: A table that provides the area (or probability) under the curve of the standard normal distribution to the left of a given z-score.Visit our resources page for a detailed tutorial on understanding and utilizing the Z-table.

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Answered: Find the z-score for which 80% of the…

Math

Statistics

Find the z-score for which 80% of the distribution's area lies to its right.

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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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

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