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Deciding Sample Sizes

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1. A friend of yours is beginning her master's thesis in which she is required to conduct a statistical study. She wants to examine whether students who attend day care with other children prior to starting kindergarten show higher academic achievement compared to those who stayed at home with a parent prior to beginning kindergarten. She does not want to spend much time gathering data and decides that give students for each sample (those who went to day care and those who did not) is sufficient. She wants your advice regarding the number of students she should sample and what she decided. What should you tell her and why?

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I would advise my friend that a sample of 5 students is insufficient to make any definitive conclusions. As a rule of thumb, for normally distributed ...

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This solution discusses how to decide sample sizes.