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A population has mean μ = 19 and standard deviation σ = 5. A random sample...

A population has mean μ = 19 and standard deviation σ = 5. A random sample of size n = 64 is selected. What is the probability that the sample mean is less than 18?

Math   Statistics-And-Probability   
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Answer #1

Solution :

= / n = 5 / 64 = 0.625

P( < 18) = P(( - ) / < (18 - 19) / 0.625)

= P(z < -1.6)

= 0.0548

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