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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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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