**Problem Statement:**1. For a population with \( \mu = 70 \) and \( \sigma = 8 \), what is the z-score corresponding to \( X = 82 \)?---**Explanation:**To find the z-score, use the formula:\[z = \frac{(X - \mu)}{\sigma}\]Where:- \( X \) is the value for which you are finding the z-score.- \( \mu \) is the mean of the population.- \( \sigma \) is the standard deviation of the population.Plug in the given values:\[z = \frac{(82 - 70)}{8}\] Calculate the z-score:\[z = \frac{12}{8} = 1.5\]Therefore, the z-score corresponding to \( X = 82 \) is 1.5.

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Answered: -For a population with µu = 70 and o =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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-For a population with µu = 70 and o = 8, what is the z-score corresponding to X = 82?