**Problem Statement for Educational Purposes:**For a population with a mean (μ) of 70 and a standard deviation (σ) of 8, what is the z-score corresponding to X = 82?**Explanation:**To find the z-score, use the formula:\[ z = \frac{(X - μ)}{σ} \]where:- \( X \) is the value for which you're calculating the z-score (82 in this case),- \( μ \) is the mean of the population (70),- \( σ \) is the standard deviation of the population (8).Plug in the values:\[ z = \frac{(82 - 70)}{8} \]\[ z = \frac{12}{8} \]\[ z = 1.5 \]Thus, the z-score corresponding to \( X = 82 \) is 1.5. This indicates that 82 is 1.5 standard deviations above the mean.

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Answered: For a population with u =70 and o= 8,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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For a population with u =70 and o= 8, what is the z-score cor %3D corresponding to X= 82?