[Solution] If you are taking a random sample from a normally distributed population with = 100 and = 12, which of the following outcomes is more likely?

Question:

If you are taking a random sample from a normally distributed population with = 100 and = 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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[Solution] If you are taking a random sample from a normally distributed population with = 100 and = 12, which of the following outcomes is more likely?

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