SOLUTION: Given a normal distribution with μ = 75 and σ = 40, if you select a sample of n = 16, what is the probability that the sample mean is above 95?

SOLUTION: Given a normal distribution with μ = 75 and σ = 40, if you select a sample of n = 16, what is the probability that the sample mean is above 95?

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Question 1147267: Given a normal distribution with μ = 75 and σ = 40, if you select a sample of n = 16, what is the probability that the sample mean is above 95?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
standard error = 40/square root(16) = 10
:
z-score = (95 - 75)/10 = 2
:
consult table of z-values
:
Probability(P) (X < 95) = 0.9772
:
P(X > 95) = 1 - 0.9772 = 0.0228
:
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