The compressive strength of concrete is normally distributed with μ

tearstreakdl 2021-12-19 Answered
The compressive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a random sample of n = 5 specimens will have a sample mean diameter that falls in the interval from 2499 psi to 2510 psi.
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Expert Answer

limacarp4
Answered 2021-12-20 Author has 39 answers
Data given for compressive strength of concerte:
μ=2500 ψ,σ=50 ψ and n=5
Let us calculate the probability that the sample mean diameter that falls in the interval from 2499 to 2510 psi
P[2499<X<2510]=P[2499μσn<Xμσn<2510μσn]
=P[0.0477<Z<0.4472]
=Φ(0.4472)Φ(0.0447)
=0.6730.482
=0.191

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