3. (1+1+ 1 = 3 marks) A manager wants to estimate the mean hourly yield for a process that manufactures an antibiotic. He observes the process for 55 hourly periods chosen at random and obtains the sample mean g 0F 0 x =38E (ounces per hour) and sample standard deviation = SE (ounces per hour). a. Estimated mean hourly yield of the process is b. A95% margin of error for the mean hourly yield is Keep two digits after decimal point in the answer to the question b. Show your work in finding 95% margin of error in the question b. c. A 95% confidence interval for mean hourly yield is R ) Keep two digits after decimal point in the answer to the question c. Show your work in finding 25% confidence interval in the question c