# Question

Suppose you were to draw all possible samples of size 36 from a large population with a mean (µ) of 800 and a standard deviation (σ) of 120. You then will compute the mean (x) for each sample.
a. Sketch a graph of the sampling distribution here and center it properly. Compute the standard deviation (standard error) of the distribution.
b. If you were to randomly select one sample of size 36 from the population here, how likely is it that the sample mean would have a value between 800 and 820? A value greater than 840?

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