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A population is normally distributed with a mean of 61 and a standard deviation of 18....

A population is normally distributed with a mean of 61 and a standard deviation of 18.

(a) What is the mean of the sampling distribution (μM) for this population?
μM =

(b) If a sample of 36 participants is selected from this population, what is the standard error of the mean (σM)?
σM =

(c) Sketch the shape of this distribution with

M ± 3 SEM.

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