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You are conducting an experiment in which you measure two means. Your null hypothesis is that...

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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