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[All Steps] If you are taking a random sample from a normally distributed population with μ=100 and σ=12, which of the following outcomes is more

Question: If you are taking a random sample from a normally distributed population with $\mu=100$ and $\sigma=12$, which of the following outcomes is more likely?

Explain your answer. (Hint: Calculate the $z$ -score for each sample mean.)

A sample mean greater than 106 for a sample of $n=4$
A sample mean greater than 103 for a sample of $n=36$

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[All Steps] If you are taking a random sample from a normally distributed population with μ=100 and σ=12, which of the following outcomes is more

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