Below are the data collected from the products of three different machines. سا . Machine А B с n 9 7 9 Sample Art. Mean 48,3 60 43,7 Sample Variance 23,5 32,3 50,5 1- (15pts) Test whether , = 50 at a 95% confidence level. 2- (20pts) Test whether H = H, at a 95% confidence level. 3- (15 pts) Test whether at a 95% confidence level. Og og 4- (50pts) Test whether : =H= H, at a 95% confidence level using ANOVA. (Hint: SST = 1871,8) 5- (10pts) Calculate the necessary sample size for Machine C where you expect to estimate ji, with at most +2 unit error and population size is 500.