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Q36.webp

Kizspy | Question: 36
(Choose 1 answer)
(See picture)
A. 0.990
B. 0.999
C. 0.006
D. 0.010
E. None of the other choices is correct
Let X denote the sample mean of a random
sample of size n₁ = 16 taken from a normal dis-
tribution N(μ, 32), and let Y denote the sample
mean of a random sample of size n2 = 25 taken
from a different normal distribution N(μ, 50).
Compute P(X - Y > 5).
<
Let P(Z > 2.3) = 0.010, P(Z > −2.3) = 0.990,
P(Z > 2.5)=0.006, P(Z > 3.1): = 0.999.

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