4. Suppose the true parameters of a discrete uniform distribution is =0 and =12. Suppose you sample from this distribution 10 observations. Use the R command sample1 <- round(runif(10, min = 0, max =12)) . Suppose you sample another 10 observations from another uniform population with =0 and =10. Test the hypothesis that the mean of your first sample is higher than the mean of the second sample at 0.05 level of significance. Report the result and the p-value. What is the type I error? Now, calculate also type II error for this test. Now assume that these samples were taken from a vaccine trial where the first sample showed the number of people out of 10 who developed immunity against the disease for each trial and the second group were given a placebo. Would you introduce this vaccine?
4. Suppose the true parameters of a discrete uniform distribution is =0 and =12. Suppose you sample from this distribution 10 observations. Use the R command sample1 <- round(runif(10, min = 0, max =12)) . Suppose you sample another 10 observations from another uniform population with =0 and =10. Test the hypothesis that the mean of your first sample is higher than the mean of the second sample at 0.05 level of significance. Report the result and the p-value. What is the type I error? Now, calculate also type II error for this test. Now assume that these samples were taken from a vaccine trial where the first sample showed the number of people out of 10 who developed immunity against the disease for each trial and the second group were given a placebo. Would you introduce this vaccine?
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