CK-12 Probability and Statistics - Advanced

(Marvins-Underground-K-12) #1

7.1. Sampling Distribution http://www.ck12.org


From the above graphs, it is obvious that increasing the sample size chosen from each sample of size 10 resulted in
a distinct improvement in the distribution of estimates of the mean. If a sample size of 10 were selected, there would
be only one possible sample, and it would yield the true mean of $4.50. The sampling distribution of the sample
means is approximately normal because it has the bell shape of the normal curve.


Now that you have been introduced to sampling distribution and how the sample size affects the distribution of
the sampling mean, it is time to investigate a more realistic sampling situation. Assume you want to study the
student population of a university to determine approval or disapproval of a student dress code proposed by the

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