**Problem Statement:**Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviation. Then find the percentage of students who score below 680, if the standard deviation is 120.**Instructions:**Click the icon to view a table of z-scores and percentiles.**Options:**A. 93.32%B. 56.68%C. 6.68%D. 120% **Table of z-Scores and Percentiles**This table provides a reference for z-scores and their corresponding percentiles, which are critical for statistical analysis and understanding distributions within data sets.| z-Score | Percentile | z-Score | Percentile | z-Score | Percentile ||---------|------------|---------|------------|---------|------------|| -4.0 | 0.003 | -1.0 | 15.87 | 0.0 | 50.00 || -3.5 | 0.02 | -0.95 | 17.11 | 0.05 | 51.99 || -3.0 | 0.13 | -0.90 | 18.41 | 0.10 | 53.98 || -2.9 | 0.19 | -0.85 | 19.77 | 0.15 | 55.96 || -2.8 | 0.26 | -0.80 | 21.19 | 0.20 | 57.93 || -2.7 | 0.35 | -0.75 | 22.66 | 0.25 | 59.87 || -2.6 | 0.47 | -0.70 | 24.20 | 0.30 | 61.79 || -2.5 | 0.62 | -0.65 | 25.78 | 0.35 | 63.68 || -2.4 | 0.82 | -0.60 | 27.43 | 0.40 | 65.54 || -2.3 | 1.07 | -0.55 | 29.12 | 0.45 | 67.36 || -2.2 | 1.39 | -0.50 | 30.85 | 0.50 | 69.15 || -2.1 | 1.79 | -0.45 |

GivenMean(μ)=500standard deviation(σ)=10

Answered: Test scores are normally distributed…

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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