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# Statistics 2037 - Chapter 19 Diversity of Samples from Same Population.docx

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Statistical Sciences
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Statistical Sciences 2037A/B
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Chapter 19 – Diversity of Samples From the Same Population We collect samples from a population, measure the variable, answer the question, determine how close the answer from our sample is to the answer for the population. We need to understand the dissimilarity we see in various samples from the same population. With sample values we can make a good guess at what the population value is. In random samples we may not see the exact probability of a certain event. This is because probability is over the long run. There is a rule for sample proportions that applies for what to expect in possible sample. 1) There exists a population who have a certain trait, gene, etc… or there is a repeatable situation where there is a relative frequency probability 2) A random sample is selected from the population or the situation is repeated many times 3) The size of the sample/# of repetitions is large. The rule for sample proportions is standard deviation = sqrt(true proportion x [1-true proportion/sample size]). There is also a rule for what to expect from sample means. Thi
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