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why Z=1.8 not 1.08? please draw a graph explain more detail?

why Z=1.8 not 1.08? please draw a graph explain more detail?

MATLAB: An Introduction with Applications
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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why Z=1.8 not 1.08? please draw a graph explain more detail?

For the 86th percentile of production cost, we need to find the value of Y such that: P(Y < y) Using the standard normal distribution, we get: 86% = 0.86 P(r < y) = P(z <z = 80 = 0. 86 From z-tables, the value of z for which p-value comes about 0.86 is z = 1.8 Thus, we get: z = 1.8 = L 980 20 y = 980 + 36 = 1016 Thus, 86th percentile is approx on Y= 1016 dollars cost.
Transcribed Image Text:For the 86th percentile of production cost, we need to find the value of Y such that: P(Y < y) Using the standard normal distribution, we get: 86% = 0.86 P(r < y) = P(z <z = 80 = 0. 86 From z-tables, the value of z for which p-value comes about 0.86 is z = 1.8 Thus, we get: z = 1.8 = L 980 20 y = 980 + 36 = 1016 Thus, 86th percentile is approx on Y= 1016 dollars cost.
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