Task 1. Statistical inference with the mean obtained from a sample Ventilator 2 Mean airway pressure Ventilator mean 59.66 Ventilator standard deviation 1.65 Mean obtained in the test 56.62 Sample size 12 In this case, only the tests for the first two ventilators will be performed, because they are the ones that have yielded the worst and best results in the tests, respectively. The aim is to check whether or not the values obtained from the tests support the data provided by the manufacturer (null hypothesis). It should be noted that the mean obtained from the simulator is the result of 12 tests. Given the following data tables: Ventilator 1 Mean airway pressure Ventilator mean 74.86 Ventilator standard deviation 6.41 Determine the null and alternative hypotheses according to the data obtained from the simulation (consider that the standard deviation of the simulation is the one obtained from the sample). Using the critical value method and E=0.05, calculate the z-score z_a and the acceptance region for the data obtained from the simulation tests. * Validate the results obtained above using the functions used by R for doing the corresponding tests. Indicate whether HO is accepted or refuted. ▸ Is the sample size considered suitable, what must it be to minimize the error of the mean to 1.5? Can any conclusions be drawn from the sample sizes and tests performed? Mean obtained in the test 67.38 Sample size 12