1. How many times each treatment has to be replicated for the experiment to have 90% power to detect a mean difference that is as much as two standard deviations of the population distribution of the output (assumed to be the same for both groups) at level = 0.05?

2.If each treatment is replicated 10 times, what is the minimum difference can a t-test detect with 90% power at level = 0.05 using output from this experiment? (Hint: The minimum detectable difference has to be relative. Relative to what quantity?)

For each question, post the R code you used and then answer the question with the results from the R output. DO NOT simply cut/paste R output, instead, summarize the R results using one concise English sentence.