# Question

Suppose the population data of heights of students at your college (the x-values) is normally distributed, with a mean of 167.5 centimetres and a standard deviation of 12 centimetres.

a. Sketch the normal distribution of heights (x-values) in the population.

b. Describe the sampling distribution of sample means (the -values) for samples of size 25 drawn from this population. Sketch this distribution, using the same horizontal axis scale as you used in part a.

c. Describe the sampling distribution of sample means for samples of size 40 drawn from this population. Sketch this distribution, using the same horizontal axis scale as you used in part a.

d. Comment on the similarities and differences in the distributions from parts a, b, and c.

a. Sketch the normal distribution of heights (x-values) in the population.

b. Describe the sampling distribution of sample means (the -values) for samples of size 25 drawn from this population. Sketch this distribution, using the same horizontal axis scale as you used in part a.

c. Describe the sampling distribution of sample means for samples of size 40 drawn from this population. Sketch this distribution, using the same horizontal axis scale as you used in part a.

d. Comment on the similarities and differences in the distributions from parts a, b, and c.

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