wo new eight gam su just hit the market Ripped and Gainz She wants to estimate the difference between the mean amount of weight gained in kg by the people who take Ripped and the mean amount of weight gained in kg by the people who take Gainz The dietician tracks the total weight gain in kg over a year of a random sample of 14 people taking Ripped and a random sample of 12 people taking Gainz These samples are chosen independently These data are shown in the table IS Ripped 18 6 8 2 9 4 12 6 6 0 8 1 12 1 12 2 8 8 15 6 12 5 8 4 9 5 5 2 Gainz 7 1 8 1 6 6 8 1 7 1 5 7 6 2 7 1 5 0 5 9 6 3 8 3 Send data to calculator Total weight gains in kg Assume that the two populations of weight gains are approximately normally distributed Let be the population mean amount of weight gained in kg by people who take Ripped Let H be the population mean amount of weight gained in kg by people who take Gainz Lower limit Construct a 99 confidence interval for the difference Then find the lower and upper limit of the 99 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 Upper limit 80 X 3