For mean M:
z = (M - mu)/(sigma/sqrt(n))
P(M > 30.8) = P( z > (30.8 - 23.6)/(16/sqrt(24)) = P(z > 2.2) = P(z < -2.2) = 0.0139.
Aiko L.
asked 08/15/21A population of values has a normal distribution with μ=23.6 and σ=16. If a random sample of size n=24 is selected,
For mean M:
z = (M - mu)/(sigma/sqrt(n))
P(M > 30.8) = P( z > (30.8 - 23.6)/(16/sqrt(24)) = P(z > 2.2) = P(z < -2.2) = 0.0139.
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