You are conducting an experiment in which you measure two means. Your null hypothesis is that they are the same (i.e. μ1 - μ2 = 0) and your experiment will test this hypothesis with a confidence level of alpha = 0.05. You would like to be able to detect a difference in means of+/- 1 with a probability of at least 0.9. How many samples do you need to test? The standard deviations of the two groups are σ1 = σ2 = 2.
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