Suppose that after the treatment has been assigned and the experiment has been carried out , the researcher has the following data . The variable open corresponds to the fraction of days that the school was opened when random visits were made For Questions 2-4, we will look at these 8 schools found in teachers_final .cav : treatment |open 0.462 0.731 0.571 0.923 0.333 0.750 0.893 0.692 Assume that we define as our statistic the absolute difference in means by treatment status . To help you compute the test statistic for the observed data , we have provided you with the R code to load in this table and generate different permutations , although it is missing some parts that you will need to fill in. We make use of the package perm , specifically the function ChooseMatrix . Be sure to look up the documentation to make sure you understand what it is doing . Question 2 For this observed data , what would be the value of our statistic ? We recommend you compute this test statistic on your own and then check your answer using the code provided . Please round your answer to two decimal spaces Question 3 According to your results , among the test statistics computed for all treatment assignments , how many are larger than the observed test statistic ? 1 1 16 21 26 31 36