# Question

Suppose you plan to draw all possible samples of size 64 from a large population with a mean (µ) of 2500 and a standard deviation (σ) of 32. You then will compute the mean (x-bar) for each sample.

a. Sketch the sampling distribution that you would expect to produce here.

b. What value should you show at the center of the distribution?

c. What is the standard deviation (standard error) of this distribution?

d. Suppose sample size was 256 rather than 64. How would this change your answers to parts a, b and c?

a. Sketch the sampling distribution that you would expect to produce here.

b. What value should you show at the center of the distribution?

c. What is the standard deviation (standard error) of this distribution?

d. Suppose sample size was 256 rather than 64. How would this change your answers to parts a, b and c?

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