An engineer working for a large agribusiness has developed

Last updated: 5/24/2023

An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2 The engineer wants to estimate the difference between the mean yield of tomato plants grown with Add1 and the mean yield of tomato plants grown with Add2 The engineer studies a random sample of 12 tomato plants grown using Add1 and a random sample of 13 tomato plants grown using Add2 These samples are chosen independently The plants grown with Add1 have a sample mean yield of 112 9 tomatoes with a sample variance of 639 5 The plants grown with Add2 have a sample mean yield of 153 1 tomatoes with a sample variance of 3262 9 Assume that the two populations of yields are approximately normally distributed Let be the population mean yield of tomato plants grown with Add1 Let be the population mean yield of tomato plants grown with Add2 Construct a 95 confidence interval for the difference Then find the lower and upper limit of the 95 confidence interval Carry your intermediate computations to three or more decimal places Round your answers to two or more decimal places If necessary consult a list of formulas Lower limit Upper limit 8 X