An account on server A is more expensive than an account on server B. However, server A is faster. To see if it is optimal to go with the faster but more expensive server, a manager needs to know if server A is significantly faster than server B. A certain computer algorithm is executednA​=30times on serverAandnB​=20times on server B with sample mean and standard deviation of the performance speed of each server (in minutes): Atα=0.05, determine if server A is faster than server B using an appropriate significance test. AssumeσA2​=σB2​ Show all steps including hypotheses, rejection region, test statistic,p-value, and conclusion.