A variable x is normally distributed with mean 24 andstandard deviation 8.Round your answers to the nearest hundredth asneeded.a) Determine the z-score for x = 28.2 =b) Determine the z-score for x =2 =c) What value of x has a z-score of 0.63?X =: 22.d) What value of x has a z-score of -0.1?X =e) What value of x has a z-score of 0?X =

Answer:- Given, A variable x is normally distributed with mean, μ = 24 and standard deviation, σ =…

Answered: A variable x is 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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The Z-score tells you the number of standard deviations away from the mean (and in what direction) a data value is. The formula: Z = *- can be used to find the Z-score for a single member of the population. Notice X - μ tells you the signed distance the data value (X) is from the mean. When you divide that by the size of each chunk (the standard deviation) you are measuring the distance in units of the size of the standard deviations (how many standard deviations fit in the distance between the data value and the mean) - which gives you the Z-score. The formula X = μ+Z.o can be used to find the value in the population when given the Z-score (signed number of standard deviations). Notice that Z. tells you how far from the mean the data value is (since Z is the number of standard deviations and is the size of each standard deviation the product tells the total distance). So adding the distance from the mean to the mean gives the location along the number line for the data value. A…
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A variable x is normally distributed with mean 24 and standard deviation 8. Round your answers to the nearest hundredth as needed. a) Determine the z-score for x = 28. 2= b) Determine the z-score for x = = 22. 2 = c) What value of x has a z-score of 0.63? X =