hope u solve this A production plant has two fabricating systems: One uses automated equipment, the other is manually operated. Since the automated system costs more to install, we want to know whether it provides increased production in terms of the mean number of finished products fabricated per day. Experience has shownthat the daily production of the automated system has a standard deviation of σ1 = 10, the manual system, σ2 = 20.1 Independent random samples of 100 days of production are obtained from company records for each system. The sample results are that the automated system had a sample mean production of ¯y1 = 254, and the manual system a sample mean of ¯y2 = 248. Is the automated system superior to the manual one?A production plant has two fabricating systems: One uses automated equipment, the other is manually operated. Since the automated system costs more to install, we want to know whether it provides increased production in terms of the mean number of finished products fabricated per day. Experience has shownthat the daily production of the automated system has a standard deviation of σ1 = 10, the manual system, σ2 = 20.1 Independent random samples of 100 days of production are obtained from company records for each system. The sample results are that the automated system had a sample mean production of ¯y1 = 254, and the manual system a sample mean of ¯y2 = 248. Is the automated system superior to the manual one?