8. Let X and Y be the means of two independent random samples, each of size n, from the respective distributions N (₁, ²) and N(μ₂,02), where the common variance is known. What is the value of n rounded to the closest integer so that P(X-Y-0/4 < µ₁ −µ₂ < X −Ỹ + σ/4) = 0.90? a) 85 b) 87 c) 89 d) 173 e) 175 f) 53 g) 55

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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8. Let X and Y be the means of two independent random samples, each of size n, from the
respective distributions N(μ₁,0²) and N(μ₂,02), where the common variance is known. What is the
value of n rounded to the closest integer so that P(X - Y -0/4 < µ₁ − µ₂ < Ñ -Ỹ + σ/4) = 0.90 ?
a) 85
b) 87
c) 89
d) 173
e) 175
f) 53
g) 55
Transcribed Image Text:8. Let X and Y be the means of two independent random samples, each of size n, from the respective distributions N(μ₁,0²) and N(μ₂,02), where the common variance is known. What is the value of n rounded to the closest integer so that P(X - Y -0/4 < µ₁ − µ₂ < Ñ -Ỹ + σ/4) = 0.90 ? a) 85 b) 87 c) 89 d) 173 e) 175 f) 53 g) 55
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