According to the Ministry of Transport, the desired average for the degree of compaction achieved during the laying of the coating for particular mixtures of types must be greater than or equal to 92%.it is also assumed that the degree of compaction is normally distributed with a standard deviation of 1.8%.a) we want to check the degree of compaction reached in a particular project by carrying out a certain number of tests. What statistical assumptions should we make?b) the risk of the first kind is limited to 0.05. what is the tolerable deviation between -x (sample mean) and 0 for a sample of size n=3? for n=5? c) the observed average of the degree of compaction for 3 tests gives 90%. calculate the descriptive threshold of the test. d) can we conclude at the significance level =0.05 that the degree of compaction of the coating is insufficient? conclude using the descriptive threshold of the test