It is important to make sure your random sample is random in order to make sure the results are accurate, and to prevent experimenter bias.
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first you make sure you have cake then you cook it in stew;0
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Yes. Simply make sure that the interval is greater than or equal to the range of the random variable.
To make sure that they are honoring there "gods" on the right dates.
Sure it can. But in the survey business, the trick is to select your sample carefully so that they'll be equal, i.e. a sample that is accurately representative of the population.