Posted by **Samantha** on Sunday, July 22, 2012 at 5:59pm.

A random sample of n = 9 scores is obtained from a population with μ = 50 and σ = 9. If the sample mean is M = 59, what is the z-score corresponding to the sample mean?

z = 3.00

z = 1.00

z = 9.00

cannot determine without additional information

- John jay college -
**MathMate**, Sunday, July 22, 2012 at 6:15pm
Sample mean from a sample of size n from a *normal* population with mean μ and σ has parameters N(μ,σ²/n)

Since n=9, σ=9, σ²/n=9, so the sample mean ~ N(50, 3²).

Z-score=((M-μ)/σ)=(59-50)/3=3

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